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arXiv · 2304.11833

The Hawking temperature of dynamical black holes via Rindler transformations

Pravin Kumar Dahal·Fil Simovic
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Abstract

The Vaidya metric serves as a useful model-building tool that captures many essential features of dynamical and/or evaporating black hole spacetimes. Working in a semiclassical setting, we show that in the limit of slow evaporation, a general spherically symmetric metric subject to certain regularity conditions is uniquely described by a linear ingoing Vaidya metric in the near-horizon region. This suggests a universal description of the near-horizon geometry of evaporating black holes in terms of the linear Vaidya metric. We also demonstrate that the linear Vaidya metric can be brought into manifestly conformally static form, allowing us to determine the Hawking temperature associated with the Vaidya background with respect to the conformal vacuum. Since back-reaction is implicitly accounted for, we conclude that slowly evaporating black holes are indeed accurately described by quasistatic sequences of Schwarzschild metrics even when dynamical effects are present.

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Pravin Kumar Dahal, Fil Simovic. 2023-04-24. The Hawking temperature of dynamical black holes via Rindler transformations. https://arxiv.org/abs/2304.11833

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