Homepage of Kenta Kiuchi (last update Feb. 2025)
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List of publication
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ADS (other than ATLAS, GroundBIRD, 3D-printer, and Development of Large Array)
2025
92) "Convective stability analysis of massive neutron stars formed in binary mergers," Yong Gao, Kota Hayashi, Kenta Kiuchi, Alan Tsz-Lok Lam, Hao-Jui Kuan, Masaru Shibata, submitted to PRD.
91) "MRI-driven alpha-Omega dynamo at high Pm numbers," Alexis Reboul-Salze, Loren E. Held, Kenta Kiuchi, submitted to Astron. and Astrophys.
90) "Tidal Resonance in Binary Neutron Star Inspirals: A High-Precision Study in Numerical Relativity," Hao-Jui Kuan, Kenta Kiuchi, and Masaru Shibata, submitted to PRL
89) "Tayler-Spruit dynamo in binary neutron star merger remnant," Alexis Reboul-Salze, Paul Barrère, Kenta Kiuchi, Jérôme Guilet, Raphaël Raynaud, Sho Fujibayshi, and Masaru Shibata, submitted to Astron. and Astrophys.
88) "Jet from binary neutron star merger with prompt black hole formation," Kota Hayashi, Kenta Kiuchi, Koutarou Kyutoku, Yuichiro Sekiguchi and Masaru Shibata, submitted to PRL
87) "Accessing universal relations of binary neutron star waveforms in massive scalar-tensor theory," Alan Tsz-Lok Lam, Yong Gao, Hao-Jui Kuan, Masaru Shibata, Karim Van Aelst, and Kenta Kiuchi, submitted to PRL
86) "General relativistic magnetohydrodynamics simulations for binary neutron star mergers," Kenta Kiuchi, Invited chapter for the edited book "New Frontiers in GRMHD Simulations"(Eds. C. Bambi, Y. Mizuno, S. Shashank and F. Yuan, Springer Singapore, expected in 2025)
2024
85) "Actinide-boosting r Process in Black Hole-Neutron Star Merger Ejecta," Shinya Wanajo, Sho Fujibayashi, Kota Hayashi, Kenta Kiuchi, Yuichiro Sekiguchi and Masaru Shibata, PRL, 133 (2024) 241201
84) "General Relativistic Magneto-Hydrodynamic Simulations with BAM: Implementation and Code Comparison," Anna Neuweiler, Tim Dietrich, Bernd Brügmann, Edoardo Giangrandi, Kenta Kiuchi, Federico Schianchi, Philipp Mösta, Swapnil Shankar, Bruno Giacomazzo, and Masaru Shibata, PRD, 110 (2024) 084046
83) "Constraints of the maximum mass of quark stars based on post-merger evolutions," Yurui Zhou, Chen Zhang, Junjie Zhao, Kenta Kiuchi, Sho Fujibayashi, and Enping Zhou, PRD, 110 (2024) 103012
82) "Binary neutron star mergers in massive scalar-tensor theory: Properties of post-merger remnants," Alan Tsz-Lok Lam, Hao-Jui Kuan, Masaru Shibata, Karim Van Aelst, and Kenta Kiuchi, PRD, 110 (2024) 104018
81) "Simulating short GRB jets in late binary neutron star merger environments," Matteo Pais, Tsvi Piran, Kenta Kiuchi, and Masaru Shibata, ApJ, 976 (2024) 35
80) "Black hole-neutron star mergers with massive neutron stars in numerical relativity," Shichuan Chen, Luohan Wang, Kota Hayashi, Kyohei Kawaguchi, Kenta Kiuchi and Masaru Shibata, PRD, 110 (2024), 063016
79) "A large-scale magnetic field produced by a solar-like dynamo in binary neutron star mergers," Kenta Kiuchi, Alexis Reboul-Salze, Masaru Shibata, and Yuichiro Sekiguchi, Nature Astronomy, 8 (2024) 3, 298
2023
78) "Dynamical Scalarization during Neutron Star Mergers in scalar-Gauss-Bonnet Theory," Hao-Jui Kuan, Alan Tsz-Lok Lam, Daniela D. Doneva, Stoytcho S. Yazadjiev, Masaru Shibata, and Kenta Kiuchi, PRD, 108 (2023) 063033
77) "Kilonovae of binary neutron star mergers leading to short-lived remnant neutron star formation," Kyohei Kawaguchi, Sho Fujibayashi, Nanae Domoto, Kenta Kiuchi, Masaru Shibata, and Shinya Wanajo, MNRAS, 525 (2023) 3384
76) "Self-consistent picture of the mass ejection from a one second-long binary neutron star merger leaving a short-lived remnant in general-relativistic neutrino-radiation magnetohydrodynamic simulation", Kenta Kiuchi, Sho Fujibayashi, Kota Hayashi, Koutarou Kyutoku, Yuichiro Sekiguchi and Masaru Shibata, PRL, 131 (2023) 011401
75) "General-relativistic neutrino-radiation magnetohydrodynamics simulation of seconds-long black hole-neutron star mergers: Dependence on initial magnetic field strength, configuration, and neutron-star equation of state", Kota Hayashi, Kenta Kiuchi, Koutarou Kyutoku, Yuichiro Sekiguchi and Masaru Shibata, PRD, 107 (2023) 123001
74) "The collimation of relativistic jets in post-neutron star binary merger simulations," Matteo Pais, Tsvi Piran, Yuri Lyubarsky, Kenta Kiuchi, and Masaru Shibata, Astrophys. J., 946 (2023) L9
73) "Numerical-relativity simulation for tidal disruption of white dwarfs by a supermassive black hole," Alan Tsz-Lok Lam, Masaru Shibata and Kenta Kiuchi, PRD, 107 (2023) 043033
72) "Comprehensive study on the mass ejection and nucleosynthesis in the binary neutron star mergers leaving short-lived massive neutron stars", Sho Fujibayashi, Kenta Kiuchi, Shinya Wanajo, Koutarou Kyutoku, Yuichiro Sekiguchi and Masaru Shibata, ApJ, 942 (2023) 39
2022
71) "Implementation of advanced Riemann solvers in a neutrino-radiation magnetohydrodynamics code in numerical relativity and its application to a binary neutron star merger", Kenta Kiuchi, Loren E. Held, Yuichiro Sekiguchi and Masaru Shibata, PRD, 106 (2022) 124041
70) "Investigating GW190425 with numerical-relativity simulations", Reetika Dudi, Ananya Adhikari, Bernd Brügmann, Tim Dietrich, Kota Hayashi, Kyohei Kawaguchi, Kenta Kiuchi, Koutarou Kyutoku, Masaru Shibata, and Wolfgang Tichy, PRD, 106 (2022) 084039
69) "General-relativistic neutrino-radiation magnetohydrodynamics simulation of seconds-long black hole-neutron star mergers", Kota Hayashi, Sho Fujibayashi, Kenta Kiuchi, Koutarou Kyutoku, Yuichiro Sekiguchi, and Masaru Shibata, PRD, 106 (2022) 023008
68)"Evolution of equal mass binary bare quark stars in full general relativity: could a supramassive merger remnant experience prompt collapse?", Enping Zhou, Kenta Kiuchi, Masaru Shibata, Antonios Tsokaros, and Koji Uryu, PRD, 106 (2022) 103030
2021
67)"Fallback Accretion Model for the Years-to-Decades X-ray Counterpart to GW170817", Wataru Ishizaki, Kunihito Ioka, and Kenta Kiuchi, ApJ, 916 (2021) L13
66)"Fallback Accretion Halted by R-process Heating in Neutron Star Mergers and Gamma-Ray Bursts", Wataru Ishizaki, Kenta Kiuchi, Kunihito Ioka, and Shinya Wanajo, ApJ, 922 (2021) 185
65)"Evolution of bare quark stars in full general relativity: I. Single star case", Enping Zhou, Kenta Kiuchi, Masaru Shibata, PRD, 103 (2021) 123011
64)"Alternative possibility of GW190521: Gravitational waves from high-mass black hole-disk systems", Masaru Shibata, Kenta Kiuchi, Sho Fujibayashi, and Yuichiro Sekiguchi, PRD, 103 (2021) 063037
63)"Properties of the remnant disk and the dynamical ejecta produced in low-mass black hole-neutron star mergers", Kota Hayashi, Kyohei Kawaguchi, Kenta Kiuchi, Koutarou Kyutoku and Masaru Shibata, PRD, 103 (2021) 043007
62)"Reducing orbital eccentricity in initial data of black hole--neutron star binaries in the puncture framework", Koutarou Kyutoku, Kyohei Kawaguchi, Kenta Kiuchi, Masaru Shibata and Keisuke Taniguchi, PRD, 103 (2021) 023002
2020
61)"FRB 181112 as a Rapidly-Rotating Massive Neutron Star just after a Binary Neutron Star Merger?: Implications for Future Constraints on Neutron Star Equations of State", Shotaro Yamasaki, Tomonori Totani and Kenta Kiuchi, arxiv:2010.07796
60)"Viscous evolution of a massive disk surrounding stellar-mass black holes in full general relativity," Sho Fujibayashi, Masaru Shibata, Shinya Wanajo, Kenta Kiuchi, Koutarou Kyutoku and Yuichiro Sekiguchi, PRD, 102 (2020) 123014
59)"Reanalysis of the binary neutron star mergers GW170817 and GW190425 using numerical-relativity calibrated waveform models", Tatsuya Narikawa, Nami Uchikata, Kyohei Kawaguchi, Kenta Kiuchi, Koutarou Kyutoku, Masaru Shibata and Hideyuki Tagoshi, PRR, 2 (2020) 4, 043039
58)"Post-merger Mass Ejection of Low-mass Binary Neutron Stars", Sho Fujibayashi, Shinya Wanajo, Kenta Kiuchi, Koutarou Kyutoku, Yuichiro Sekiguchi, Masaru and Masaru Shibata, ApJ, 901, 122 (2020)
57) "Sub-radian-accuracy gravitational waveforms of coalescing binary neutron stars in numerical relativity II : Systematic study on the equation of state, binary mass, and mass ratio", Kenta Kiuchi, Kyohei Kawaguchi, Koutarou Kutoku, Yuichiro Sekiguchi, Masaru Shibata, PRD, 101 (2020) no. 8 084006
56) "Mass ejection from disks surrounding a low-mass black hole: Viscous neutrino-radiation hydrodynamics simulation in full general relativity", Sho Fujibayashi, Masaru Shibata, Shinya Wanajo, Kenta Kiuchi, Koutarou Kyutoku and Yu-ichiro Sekiguchi, PRD, 101 (2020) no. 8 083029
55) "On the possibility of GW190425 being a black hole--neutron star binary merger", Kouratou Kyutoku, Sho Fujibayashi, Kohta Hayashi, Kyohei Kawaguchi, Kenta Kiuchi, Masaru Shibata and Masaomi Tanaka, ApJ, 890 (2020), L4
54) "Jet Propagation in Neutron Star Mergers and GW170817", Hamid Hamidani, Kenta Kiuchi and Kunihito Ioka, Mon.Not.Roy.Astron.Soc. 491, 3192-3216 (2020)
2019
53) "Constraint on the maximum mass of neutron stars using GW170817 event", Masaru Shibata, Enping Zhou, Kenta Kiuchi, and Sho Fujibayashi, PRD, 100 (2019), no.2 023015
52) "Revisiting the lower bound on tidal deformability derived by AT 2017gfo", Kenta Kiuchi, Koutarou Kyutoku, Masaru Shibata and Keisuke Taniguchi, ApJ, 876, L31 (2019)
51) "Discrepancy in tidal deformability of GW170817 between the Advanced LIGO twins", Tatsuya Narikawa, Nami Uchikata, Kyohei Kawaguchi, Kenta Kiuchi, Koutarou Kyutoku, Masaru Shibata and Hideyuki Tagoshi, PRR, 1 (2019) , 033055
50) "Nothermal afterglow of the binary neutron star merger GW170817: a more natural modeling of electron energy distribution leads to a qualitatively different new solution", Haoxiang Lin, Tomonori Totani, Kenta Kiuchi, Mon.Not.Roy.Astron.Soc. 485, 2155-2166 (2019)
2018
49) "Synchrotron radiation from the fast tail of dynamical ejecta of neutron star mergers", Kenta Hotokezaka, Kenta Kiuchi, Masaru Shibata, Ehud Nakar, Tsvi Piran, Astrophys. J., 867 (2018) 95
48) "Global simulations of strongly magnetized remnant massive neutron stars formed in binary neutron star mergers", Kenta Kiuchi, Koutarou Kyutoku, Yuichiro Sekiguchi and Masaru Shibata, PRD, 97 (2018) no. 12, 124039
47) "Repeating and non-repeating fast radio bursts from binary neutron star mergers", Shotaro Yamasaki, Tomonori Totani and Kenta Kiuchi PASJ, 70 (2018), 39
46) "Frequency-domain gravitational waveform models for inspiraling binary neutron stars", Kyohei Kawaguchi, Kenta Kiuchi, Koutarou Kyutoku, Yuichiro Sekiguchi, Masaru Shibata and Keisuke Taniguchi, PRD, 97 (2018) no. 4, 044044
45) "Neutrino transport in balck-hole neutron star binaries: neutrino emission and dynamical mass ejection", Koutarou Kyutoku, Kenta Kiuchi, Yuichiro Sekiguchi and Masaru Shibata, PRD, 97 (2018) no. 2, 023009
2017
44) "Mass Ejection from the Remnant of Binary Neutron Star Merger: Viscous-Radiation Hydrodynamics Study", Sho Fujibayashi, Kenta Kiuchi, Nobuya Nishimura, Yuichiro Sekiguchi, and Masaru Shibata, Astrophys. J. 867 (2018), 64
43) "GW170817: Modeling based on numerical relativity and its implications", Masaru Shibata, Sho Fujibayashi, Kenta Hotokezaka, Kenta Kiuchi, Koutarou Kyutoku, Yuichiro Sekiguchi, and Masaomi Tanaka, PRD, 96 (2017) no. 12, 123012
42) "High-Energy Neutrino Emission from Short Gamma-Ray Bursts: Prospects for Coincident Detection with Gravitational Wave", Shigeo, S. Kimura, Khota Murase, Peter Meszaros and Kenta Kiuchi, Astrophys. J. 848 (2017) no.1, L4
41) "Sub-radian-accuracy gravitational waveforms of coalescing binary neutron stars in numerical relativity", Kenta Kiuchi, Kyohei Kawaguchi, Koutarou Kutoku, Yuichiro Sekiguchi, Masaru Shibata, and Keisuke Taniguchi, PRD, 96 (2017) no.8, 084060
40) "Gravitational waves from remnant massive neutron stars of binary neutron star merger: Viscous hydrodynamics effects", Masaru Shibata and Kenta Kiuchi, PRD, 95, no. 12, 123003 (2017)
39) "General relativistic viscous hydrodynamics of differentially rotating neutron stars", Masaru Shibata, Kenta Kiuchi and Yuichiro Sekiguchi, PRD, 95, no. 8, 083005 (2017)
38) ”Properties of Neutrino-driven Ejecta from the Remnant of Binary Neutron Star Merger : Purely Radiation Hydrodynamics Case”, Sho Fujibayashi, Yuichiro Sekiguchi, Kenta Kiuchi and Masaru Shibata, Astrophys. J, 846 (2017) 114
2016
37) ”Dynamical mass ejection from the merger of asymmetric binary neutron stars: Radiation-hydrodynamics study in general relativity”, Yuichiro Sekiguchi, Kenta Kiuchi, Koutarou Kyutoku, Masaru Shibata, and Keisuke Taniguchi, PRD, 93, no. 12, 124046 (2016)
36) ”Multi-messenger search for rapidly-rotating strongly-magnetized newborn neutron stars in striped-envelope supernovae”, Kazumi Kashiyama, Kohta Murase, Imre Bartos, Kenta Kiuchi, Raffaella Margutti, Astrophys. J. 818 (2016) 94
2015
35) "Efficient magnetic-field amplification due to the Kelvin-Helmholtz instability in binary neutron star mergers", Kenta Kiuchi, Pablo Cerda-Duran, Koutarou Kyutoku, Yuichiro Sekiguchi, Masaru Shibata, PRD, 92, no. 12, 124034 (2015)
34) "High-resolution magnetohydrodynamics simulation of black hole-neutron star merger: Mass ejection and short gamma-ray burst",
Kenta Kiuchi, Yuichiro Sekiguchi, Koutarou Kyutoku, Masaru Shibata, Keisuke Taniguchi, and Tomohide Wade, PRD, 92, 064034-1 (2015)
33) "Dynamical mass ejection from binary neutron star mergers: Radiation-hydrodynamics study in general relativity",
Yuichiro Sekiguchi, Kenta Kiuchi, Koutarou Kyutoku and Masaru Shibata, PRD, 91, no. 6, 064059 (2015)
32) "Gamma-Ray and Hard X-Ray Emission from Pulsar-Aided Supernovae as a Probe of Particle Acceleration in Embryonic Pulsar Wind Nebulae",
Kohta Murase, Kazumi Kashiyama, Kenta Kiuchi and Imre Bartos, Astrophys. J, 805 (2015) 82
2014
31)"High resolution numerical-relativity simulations for the merger of binary magnetized neutron stars", Kenta Kiuchi, Koutarou Kyutoku, Yuichiro Sekiguchi, Masaru Shibata, Tomohide Wada, PRD, 90, 041502-1 041502-4 (R) (2014) (August 2014, Kaleidoscope)
30)"Production of all the r-process nuclides in the dynamical ejecta of neutron star mergers", Shinya Wanajo, Yuichiro Sekiguchi, Nobuya Nishimura, Kenta Kiuchi, Koutarou Kyutoku and Masaru Shibata, Astrophys. J. 789 (2014) L39 (6pp)
29)"The Influence of Thermal Pressure on Equilibrium Models of Hypermassive Neutron Star Merger Remnants", J. D. Kaplan, C. D. Ott, E. P. O'Connor, K. Kiuchi, L. Roberts and M. Duez, Astrophys. J. 790 (2014) 19 (20pp)
28)"Radioactively Powered Emission from Black Hole-Neutron Star Mergres",Masaomi Tanaka, Kenta Hotokezaka, Koutarou Kyutoku. Shinya Wanajo, Kenta Kiuchi, Yuichiro Sekiguchi, Masaru Shibata, Astrophys. J. 780 (2014) 31 (9pp)
2013
27)"Progenitor Models of the Electromagnetic Transient Associated with the Short Gamma Ray Burst 130603B", Kenta Hotokezaka, Koutarou Kyutoku, Masaomi Tanaka, Kenta Kiuchi, Yuichiro Sekiguchi, Masaru Shibata, Shinya Wanajo, Astrophys. J. 778 (2013) L16 (5pp)
26)"Remnant massive neutron stars of binary neutron star mergers: Evolution process and gravitational waveform", Kenta Hotokezaka, Kenta Kiuchi, Koutarou Kyutoku, Takayuki Muranushi, Y.-ichiro Sekiguchi, Masaru Shibata and Keisuke Taniguchi, PRD, 88, 044026-1, 044026-30 (2013)
25)"The mass ejection from the merger of binary neutron stars", Kenta Hotokezaka, Kenta Kiuchi, Koutarou Kyutoku, Hirotada Okawa, Yu-ichiro Sekiguchi, Masaru Shibata and Keisuke Taniguchi, PRD, 87, 024001-1 024001-27 (2013)
2012
24)"Three dimensional evolution of differentially rotating magnetized neutron stars", Kenta Kiuchi, Koutarou Kyutoku and Masaru Shibata, PRD, 86, 064008-1 064008-18 (2012)
23)"Stably stratified magnetized stars in general relativity", Shijun Yoshida, Kenta Kiuchi, and Masaru Shibata, PRD, 86, 044012-1 044012-16 (2012)
22)"Gravitational waves and neutrino emission and effects of hyperons in binary neutron star mergers", Kenta Kiuchi, Yuichiro Sekiguchi, Koutarou Kyutoku and Masaru Shibata, Class.Quan.Grav., 29, 124003 (8pp) (2012)
21)"Current Status of Numerical-Relativity Simulations in Kyoto", Yuichiro Sekiguchi, Kenta Kiuchi, Koutarou Kyutoku and Masaru Shibata, PTEP, 01A304 (49pp) (2012)
2011
20)"Effects of hyperons in binary neutron star mergers", Yuichiro Sekiguchi, Kenta Kiuchi, Koutarou Kyutoku and Masaru Shibata, Phys.Rev.Lett., 107, 211101-1 211101-5 (2011)
19)"Gravitational waves and neutrino emission from the merger of binary neutron stars", Yuichiro Sekiguchi, Kenta Kiuchi, Koutarou Kyutoku and Masaru Shibata, Phys.Rev.Lett., 107, 051102-1 051102-5 (2011) (On the Cover)
18)"Gravitational waves from the Papaloizou-Pringle instability in black hole-torus systems", Kenta Kiuchi, Masaru Shibata, Pedro J. Montero and Jos\’{e} A. Font, Phys.Rev.Lett., 106, 251102-1 251102-4 (2011)
17)"Binary Neutron Star Mergers: Dependence on the Nuclear Equation of State", Kenta Hotokezaka, Koutarou Kyutoku, Hirotada Okawa, Masaru Shibata and Kenta Kiuchi, PRD., 83, 124008-1 124008-12 (2011)
16)"Afterglow of binary neutron star merger", Masaru Shibata, Yudai Suwa, Kenta Kiuchi and Kunihito Ioka, Astrophys. J. Lett., 734 (2011) L36 (5pp)
15)"Non-axisymmetric instabilities of neutron star with toroidal magnetic fields", Kenta Kiuchi, Shijun Yoshida and Masaru Shibata, Astron. Astrophys., 532 (2011) A30 (17pp)
14)"Truncated Moment Formalism for Radiation Hydrodynamics in Numerical Relativity", Masaru Shibata, Kenta Kiuchi, Yu-ichirou Sekiguchi and Yudai Suwa, Prog.Theo.Phys., 125, 1255-1287 (2011)
13)"Jet propagations, breakouts and photospheric emissions in collapsing massive progenitors of long duration gamma ray bursts", Hiroki Nagakura, Hirotaka Ito, Kenta Kiuchi and Shoichi Yamada, Astrophys. J., 731 (2011) 80 (18pp)
2010
12)"Multi-layered configurations in differentially-rotational equilibrium.", Kenta Kiuchi, Hiroki Nagakura, Shoichi Yamada, Astrophys. J., 717 (2010) 666-673
11)"Exploring binary-neutron-star-merger scenario of short-gamma-ray bursts by gravitational-wave observation.", Kenta Kiuchi, Yuichiro Sekiguchi, Masaru Shibata, Keisuke Taniguchi, Phys.Rev.Lett., 104, 141101-1 141101-4 (2010) (Viewpoint:Physics)
10)"Relativistic hybrid stars with super-strong toroidal magnetic fields: An evolutionary track with QCD phase transition.", Nobutoshi Yasutake, Kenta Kiuchi, Kei Kotake, Mon.Not.Roy.Ast.Soc., 401, 2101-2112 (2010)
2009
9)"Long-term general relativistic simulation of binary neutron stars collapsing to a black hole.", Kenta Kiuchi, Yuichiro Sekiguchi, Masaru Shibata, Keisuke Taniguchi, PRD, 80, 064037-1 064037-27 (2009)
8)"Equilibrium Configurations of Relativistic Stars with Purely Toroidal Magnetic Fields: Effects of Realistic Equations of State.", Kenta Kiuchi, Kei Kotake, Shijun Yoshida, Astrophys. J., 698 (2009), 541-557
2008
7)"Relativistic stars with purely toroidal magnetic fields.", Kenta Kiuchi, Shijun Yoshida, PRD, 78, 044045-1 044045-21 (2008)
6)"Evolution of neutron stars with toroidal magnetic fields: Axisymmetric simulation in full general relativity.", Kenta Kiuchi, Masaru Shibata, Shijun Yoshida, PRD, 78, 024029 -1 024029-19 (2008)
5)"Equilibrium configurations of strongly magnetized neutron stars with realistic equations of state.", Kenta Kiuchi, Kei Kotake, Mon.Not.Roy.Ast.Soc., 385, 1327-1347 (2008)
4)"Numerical experiments of adjusted Baumgarte-Shapiro-Shibata-Nakamura systems for controlling constraint violations.", Kenta Kiuchi, Hisaa-ki Shinkai, PRD, 77, 044010 -1 044010-11 (2008)
2007
3)"1/f fluctuations in spinning-particle motions around a Schwarzschild black hole.", Hiroko Koyama, Kenta Kiuchi, Tetsuro Konishi, PRD, 76, 064031-1 064031-9 (2007)
2)"Gravitational wave signals from a chaotic system: A point mass with a disk.", Kenta Kiuchi, Hiroko Koyama, Kei-ichi Maeda, PRD, 76, 024018-1 024018-9 (2007)
2004
1) "Gravitational waves from chaotic dynamical system", K. Kiuchi, K. i. Maeda, PRD, 70, 064036 (2004)