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

Abstract

It is shown that static solutions with a finite curvature at the horizon may exist in dilaton gravity at temperatures $T\ne T_H$ (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''.

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

References in corpus (2)

• Exactly solvable models of two-dimensional dilaton gravity and quantum eternal black holes
• Semi-infinite throats at finite temperature and static solutions in exactly solvable models of 2d dilaton gravity

Cited by in corpus (6)

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• Quantum extreme black holes at finite temperature and exactly solvable models of 2d dilaton gravity
• Regular self-consistent geometries with infinite quantum backreaction in 2D dilaton gravity and black hole thermodynamics: unfamiliar features of familiar models
• Exactly solvable models of two-dimensional dilaton cosmology with quantum backreaction
• Exactly solvable models in 2D semiclassical dilaton gravity and extremal black holes
• Boulware state in exactly solvable models of 2D dilaton gravity