Dynamical Black Hole Thermodynamics in Modified Gravity

Fuente: arXiv
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Main Authors: Lobos, Nikko John Leo S., Rodulfo, Emmanuel T.
Format: Preprint
Published: 2026
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author Lobos, Nikko John Leo S.
Rodulfo, Emmanuel T.
author_facet Lobos, Nikko John Leo S.
Rodulfo, Emmanuel T.
contents We study the dynamical and thermodynamic evolution of a Schwarzschild black hole in Modified Gravity (MOG) under a scalar gravitational wave breathing mode. The time-dependent apparent horizon reveals that both the scalar strain velocity and the repulsive vector charge modulate the effective surface gravity and the instantaneous dynamical temperature in a quasi-adiabatic way. As a result, this regime breaks the semiclassical adiabatic approximation and triggers explicit non-thermal particle creation. We resolve a thermodynamic paradox by decoupling first-order reversible kinematic-horizon fluctuations from second-order irreversible entropy growth, using the Raychaudhuri equation. Consequently, the Generalized Second Law remains preserved. We apply these results to address the black hole information paradox across two timescales. Short-term non-thermal emission opens a dynamical channel for the escape of correlated geometric information. On long timescales, the massive vector field halts evaporation as mass approaches the extremal bound, $M_G \to Q_G$. This yields a stable, zero-temperature remnant. These signals provide a framework for probing scalar-tensor-vector modifications to general relativity with next-generation gravitational-wave observatories
format Preprint
id arxiv_https___arxiv_org_abs_2604_03518
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Dynamical Black Hole Thermodynamics in Modified Gravity
Lobos, Nikko John Leo S.
Rodulfo, Emmanuel T.
General Relativity and Quantum Cosmology
We study the dynamical and thermodynamic evolution of a Schwarzschild black hole in Modified Gravity (MOG) under a scalar gravitational wave breathing mode. The time-dependent apparent horizon reveals that both the scalar strain velocity and the repulsive vector charge modulate the effective surface gravity and the instantaneous dynamical temperature in a quasi-adiabatic way. As a result, this regime breaks the semiclassical adiabatic approximation and triggers explicit non-thermal particle creation. We resolve a thermodynamic paradox by decoupling first-order reversible kinematic-horizon fluctuations from second-order irreversible entropy growth, using the Raychaudhuri equation. Consequently, the Generalized Second Law remains preserved. We apply these results to address the black hole information paradox across two timescales. Short-term non-thermal emission opens a dynamical channel for the escape of correlated geometric information. On long timescales, the massive vector field halts evaporation as mass approaches the extremal bound, $M_G \to Q_G$. This yields a stable, zero-temperature remnant. These signals provide a framework for probing scalar-tensor-vector modifications to general relativity with next-generation gravitational-wave observatories
title Dynamical Black Hole Thermodynamics in Modified Gravity
topic General Relativity and Quantum Cosmology
url https://arxiv.org/abs/2604.03518