Negative modes of Schwarzschild black hole in Einstein-Gauss-Bonnet Theory

Understand

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

• We find an 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.