Black holes in thermal equilibrium

Details Black holes in thermal equilibrium Black holes in thermal equilibrium

Apr 1976

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1976phrvl..36..985g&link_type=abstract

Physical Review Letters, vol. 36, Apr. 19, 1976, p. 985-987.

Astronomy and Astrophysics

Astronomy

56

Black Holes (Astronomy), Green'S Functions, Particle Interactions, Perturbation Theory, Thermodynamic Equilibrium, Astronomical Models, Equilibrium Equations, Particle Emission, Schwarzschild Metric

Scientific paper

It is shown that to all orders of perturbation theory for any renormalizable particle interaction, a nonrotating neutral black hole can be in thermal equilibrium with a heat bath at a temperature given by the equation T = 1/8(pi)M. Restricting the investigation to a neutral scalar field and a black hole mass, the hypothesis of thermal equilibrium is demonstrated by proving the identity of the Hartle-Hawking 'Feynman Green's function' and the 'thermal Green's function' used in two different approaches to analyzing particle emission by black holes. It is noted that these Green's functions will be antiperiodic in the Schwarzschild time coordinate differences in the case of fermions and that they will be quasi-periodic in those coordinate differences in the case of rotating and charged black holes.

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