Negative modes of Schwarzschild black holes in Einstein–Gauss–Bonnet theory

We study non-conformal negative modes of black holes in the five-dimensional Einstein-Gauss-Bonnet gravity theory with a zero or negative cosmological constant (which become Schwarzschild black holes in the Einstein limit), in the context of the semiclassical quantum gravity formulated by the path i...

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Published inClassical and quantum gravity Vol. 25; no. 24; pp. 245006 - 245006 (16)
Main Author Hirayama, Takayuki
Format Journal Article
LanguageEnglish
Published Bristol IOP Publishing 21.12.2008
Institute of Physics
Subjects
Exact sciences and technology
General relativity and gravitation
Physics
Cosmological constant
Einstein theory
Black holes
Path integral
Schwarzschild metric
Heat capacity
Cosmology
Quantum gravity
Gravity
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Summary:We study non-conformal negative modes of black holes in the five-dimensional Einstein-Gauss-Bonnet gravity theory with a zero or negative cosmological constant (which become Schwarzschild black holes in the Einstein limit), in the context of the semiclassical quantum gravity formulated by the path integral. We find a unique negative mode when the black hole has a negative heat capacity which is the same in Einstein theory. On the other hand, we still find negative modes inside a parameter region where a small black hole has a positive heat capacity. The number is one/two for the case of zero/negative cosmological constant, respectively. In the rest of the parameter region where the heat capacity is positive, we find no negative modes. We discuss the possible physical understanding of having one or two negative modes.
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ISSN:0264-9381
1361-6382
DOI:10.1088/0264-9381/25/24/245006