Negative mode of Schwarzschild black hole from the thermodynamic instability

Details Negative mode of Schwarzschild black hole from the thermodynamic instability Negative mode of Schwarzschild black hole from the thermodynamic instability

2010-12-02

arxiv.org/abs/1012.0441v2

Phys.Lett.B701:127-132,2011

Physics

High Energy Physics

High Energy Physics - Theory

18 pages; expressions improved, reference added

Scientific paper

10.1016/j.physletb.2011.05.032

The thermodynamic instability, for example the negative heat capacity, of a black hole implies the existence of off-shell negative mode(s) (tachyonic mode(s)) around the black hole geometry in the Euclidean path integral formalism of quantum gravity. We explicitly construct an off-shell negative mode inspired from the negative heat capacity in the case of Schwarzschild black hole with/without a cosmological constant. We carefully check the boundary conditions, i.e. the regularity at the horizon, the traceless condition, and the normalizability.

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