Brief Summary of Each Supplement
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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