Non-minimal coupling and quantum entropy of black hole

Details Non-minimal coupling and quantum entropy of black hole Non-minimal coupling and quantum entropy of black hole

1996-12-05

arxiv.org/abs/hep-th/9612061v3

Phys.Rev. D56 (1997) 4968-4974

Physics

High Energy Physics

High Energy Physics - Theory

16 pages, latex, no figures; an error in calculation of the entropy corrected, the entropy now is positive for any non-minimal

Scientific paper

10.1103/PhysRevD.56.4968

Formulating the statistical mechanics for a scalar field with non-minimal $\xi R \phi^2$ coupling in a black hole background we propose modification of the original 't Hooft ``brick wall'' prescription. Instead of the Dirichlet condition we suggest some scattering ansatz for the field functions at the horizon. This modifies the energy spectrum of the system and allows one to obtain the statistical entropy dependent on the non-minimal coupling. For $\xi<0$ the entropy renormalizes the classical Bekenstein-Hawking entropy in the correct way and agrees with the result previously obtained within the conical singularity approach. For a positive $\xi$, however, the results differ.

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