Universality of the thermodynamics of a quantum-mechanically radiating black hole departing from thermality
arxiv(2024)
摘要
Mathur and Mehta won the third prize in the 2023 Gravity Research Foundation
Essay Competition for proving the universality of black hole (BH)
thermodynamics. Specifically, they demonstrated that any Extremely Compact
Object (ECO) must have the same BH thermodynamic properties regardless of
whether or not the ECO possesses an event horizon. The result is remarkable,
but it was obtained under the approximation according to which the BH emission
spectrum has an exactly thermal character. In fact, strong arguments based on
energy conservation and BH back reaction imply that the spectrum of the Hawking
radiation cannot be exactly thermal. In this work the result of Mathur and
Mehta will be extended to the case where the radiation spectrum is not exactly
thermal using the concept of BH dynamical state.
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