Thermal divergences on the event horizons of two-dimensional black holes

Details Thermal divergences on the event horizons of two-dimensional black holes Thermal divergences on the event horizons of two-dimensional black holes

1995-04-25

arxiv.org/abs/gr-qc/9504044v1

Phys.Rev. D52 (1995) 4554-4558

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

13 pages, REVTeX

Scientific paper

10.1103/PhysRevD.52.4554

The expectation value of the stress-energy tensor $\langleT_{\mu\nu}\rangle$ of a free conformally invariant scalar field is computed in a general static two-dimensional 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 two-dimensional black hole the stress-energy 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 two-dimensional black holes can only be in equilibrium with radiation at the natural black hole temperature.

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