Thermal divergences on the event horizons of twodimensional black holes
Abstract
The expectation value of the stressenergy tensor <T_{μν}> of a free conformally invariant scalar field is computed in a general static twodimensional black hole spacetime when the field is in either a zero temperature vacuum state or a thermal state at a nonzero temperature. It is found that for every static twodimensional black hole the stressenergy diverges strongly on the event horizon unless the field is in a state at the natural black hole temperature which is defined by the surface gravity of the event horizon. This implies that both extreme and nonextreme twodimensional black holes can only be in equilibrium with radiation at the natural black hole temperature.
 Publication:

Physical Review D
 Pub Date:
 October 1995
 DOI:
 10.1103/PhysRevD.52.4554
 arXiv:
 arXiv:grqc/9504044
 Bibcode:
 1995PhRvD..52.4554L
 Keywords:

 04.70.Dy;
 04.60.Kz;
 Quantum aspects of black holes evaporation thermodynamics;
 Lower dimensional models;
 minisuperspace models;
 General Relativity and Quantum Cosmology
 EPrint:
 13 pages, REVTeX