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Progress of Theoretical Physics Supplement No. 189



Higher Dimensional Black Holes


Ed. by K. Maeda, T. Shiromizu and T. Tanaka

Inspired by the revolutionary progress of string theory occurred in the late 20th century, we had a new picture of our universe and ingredients in physics, that is, braneworld, warped extra dimensions, landscape picture of the string vacuum and so on. Among predictions based on those new insights, the production of higher dimensional black holes on the earth is most remarkable one. It motivated us to study higher dimensional black holes. We may recall that string theory is formulated in higher dimensions and supergravity as a low energy effective theory of string theory is a higher dimensional gravitational theory. Therein, p-brane solutions, which look like black hole spacetimes, are also regarded as fundamental objects.

Under these situations, we had the great progress of the fundamental study on higher dimensional black holes in the early 21st century. After the discovery of black ring solutions (whose shape is not sphere!) in 2002 and we realized that the uniqueness theorem cannot hold in general, various important aspects have been found; the discovery of various type of black hole solutions in five dimensions, the construction of the systematic way to find the exact solution in five dimensions, the stability analysis for certain limited cases, the uniqueness theorem for some limited cases, a general argument about the topology of black holes, a performance of numerical relativity in higher dimensions and so on. However, there are many remaining issues, for examples, stability analysis for general cases and finding exact solutions in higher dimensions than six. Bearing this situation in mind, it would be important to summarize the definite and general results for the further development of studies on higher dimensional black holes in the future. This supplement takes the role.


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