Semi-classical spacetime thermodynamics

Fuente: arXiv
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Main Authors: Alonso-Serrano, Ana, Liška, Marek, Piotrak, Michał
Format: Preprint
Published: 2025
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author Alonso-Serrano, Ana
Liška, Marek
Piotrak, Michał
author_facet Alonso-Serrano, Ana
Liška, Marek
Piotrak, Michał
contents We derive the semi-classical gravitational dynamics from thermodynamics of local stretched light cones in 2-dimensional dilaton gravity, explicitly treating the backreaction of quantum matter through the conformal anomaly's effect on the generalized entropy. We also sketch the extension of this analysis to the conformal anomaly in 4-dimensional semi-classical gravity. In direct connection to this problem, we also tackle the appropriate definition of Wald entropy in thermodynamic derivation of equations of motion for classical scalar-tensor theories. For the class of Brans-Dicke theories, including 2-dimensional dilaton gravity, we show that the equations of motion follow from the dynamical Wald entropy associated with local causal horizons.
format Preprint
id arxiv_https___arxiv_org_abs_2509_05052
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Semi-classical spacetime thermodynamics
Alonso-Serrano, Ana
Liška, Marek
Piotrak, Michał
High Energy Physics - Theory
General Relativity and Quantum Cosmology
We derive the semi-classical gravitational dynamics from thermodynamics of local stretched light cones in 2-dimensional dilaton gravity, explicitly treating the backreaction of quantum matter through the conformal anomaly's effect on the generalized entropy. We also sketch the extension of this analysis to the conformal anomaly in 4-dimensional semi-classical gravity. In direct connection to this problem, we also tackle the appropriate definition of Wald entropy in thermodynamic derivation of equations of motion for classical scalar-tensor theories. For the class of Brans-Dicke theories, including 2-dimensional dilaton gravity, we show that the equations of motion follow from the dynamical Wald entropy associated with local causal horizons.
title Semi-classical spacetime thermodynamics
topic High Energy Physics - Theory
General Relativity and Quantum Cosmology
url https://arxiv.org/abs/2509.05052