Two-dimensional dilaton gravity and spacetimes with finite curvature at the horizon away from the Hawking temperature

Physics – High Energy Physics – High Energy Physics - Theory

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10 pages, REVTeX 3.0. Accepted for publication in Phys. Rev. D

Scientific paper

10.1103/PhysRevD.61.064002

It is shown that static solutions with a finite curvature at the horizon may exist in dilaton gravity at temperatures $T\neq T_{H}$ (including T=0) where $T_{H} $is the Hawking one. Hawking radiation is absent and the state of a system represents thermal excitation over the Boulware vacuum. The horizon remains unattainable for a observer because of thermal divergences in the stress-energy of quantum fields there. However, the curvature at the horizon is finite, when measured from outside, since these divergences are compensated by those in gradients of a dilaton field. Spacetimes under consideration are geodesically incomplete and the coupling between dilaton and gravity diverges at the horizon, so we have ''singularity without singularity''.

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