Black hole entropy and the semiclassical approximation
Samir D. Mathur

TL;DR
This paper calculates black hole entropy and examines the semiclassical approximation's validity during evaporation, revealing potential large entanglement entropy between black hole and radiation in quantum gravity contexts.
Contribution
It provides a comparative analysis of black hole entropy in different dimensions and discusses the implications for the semiclassical approximation in quantum gravity.
Findings
Entropy of Hawking radiation computed in 1+1 and 3+1 dimensions
Potential large entanglement entropy between black hole and radiation
Semiclassical approximation may break down in quantum gravity regimes
Abstract
We compute the entropy of the Hawking radiation for an evaporating black hole, in 1+1 dimensions and in 3+1 dimensions. We investigate the validity of the semiclassical approximation for the evaporation process. It appears that there might be a large entropy of entanglement between the classical degrees of freedom describing the black hole and the radiation fields when the theory of quantum gravity plus matter is considered.
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Taxonomy
TopicsBlack Holes and Theoretical Physics · Cosmology and Gravitation Theories · Quantum Electrodynamics and Casimir Effect
