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Nontrivial self-consistent backreaction of quantum fields in 2D dilaton gravity

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arxiv 2401.07645 v2 pith:US62YODN submitted 2024-01-15 hep-th gr-qc

Nontrivial self-consistent backreaction of quantum fields in 2D dilaton gravity

classification hep-th gr-qc
keywords backreactiondilatonicfieldshorizonsleadsquantumtemperaturesaccount
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We consider $(1+1)$-dimensional dilatonic black hole with two horizons, canonical temperatures of which do not coincide. We show that the presence of quantum fields in such a background leads to a substantial backreaction on the metric: 2D dilatonic analog of the semiclassical Einstein equations are solved self-consistently, and we demonstrate that taking into account of backreaction leads to a geometry with two horizons with coinciding temperatures.

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Cited by 1 Pith paper

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    In the Unruh–de Sitter state the anomaly flux J=(N/48π)(κ_b²−κ_c²) is positive throughout the static patch, so every neutral SdS black hole evaporates monotonically and only the Nariai limit has zero flux.