Dynamical black holes: Apparent horizon versus energy conditions

One of the characteristics of a dynamical black hole is the apparent horizon. Initially it was assumed that this surface is spacelike. However, further studies have shown that it can be both and null and timelike. Recent studies of the black hole shadow have demonstrated the connection between energ...

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Main Author: Vitalii Vertogradov
Format: Article
Language:English
Published: Elsevier 2025-08-01
Series:Physics Letters B
Subjects:
Online Access:http://www.sciencedirect.com/science/article/pii/S0370269325003685
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author Vitalii Vertogradov
author_facet Vitalii Vertogradov
author_sort Vitalii Vertogradov
collection DOAJ
description One of the characteristics of a dynamical black hole is the apparent horizon. Initially it was assumed that this surface is spacelike. However, further studies have shown that it can be both and null and timelike. Recent studies of the black hole shadow have demonstrated the connection between energy conditions and the black hole shadow [6]. In this paper, we establish a connection between the behavior of the apparent horizon and energy conditions. We prove that the evaporation of regular black holes always leads to the formation of a horizonless object. We introduce notions of NEC horizon and prove that the apparent horizon can be null surface if and only if it coincides with the NEC horizon. We also prove that energy conditions can lead to a situation when the mass of the black hole grows and the apparent horizon decreases, which can open the way to the explanation of the information loss paradox.
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spelling doaj-art-9ef95f478a2a407f817f529ae52c4ebe2025-08-20T03:21:51ZengElsevierPhysics Letters B0370-26932025-08-0186713960710.1016/j.physletb.2025.139607Dynamical black holes: Apparent horizon versus energy conditionsVitalii Vertogradov0Physics Department, Herzen State Pedagogical University of Russia, 48 Moika Emb., Saint Petersburg 191186, Russia; Center for Theoretical Physics, Khazar University, 41 Mehseti Street, Baku AZ-1096, Azerbaijan; SPB branch of SAO RAS, 65 Pulkovskoe Rd, Saint Petersburg 196140, Russia; Correspondence to: Physics Department, Herzen State Pedagogical University of Russia, 48 Moika Emb., Saint-Petersburg 191186, Russia.One of the characteristics of a dynamical black hole is the apparent horizon. Initially it was assumed that this surface is spacelike. However, further studies have shown that it can be both and null and timelike. Recent studies of the black hole shadow have demonstrated the connection between energy conditions and the black hole shadow [6]. In this paper, we establish a connection between the behavior of the apparent horizon and energy conditions. We prove that the evaporation of regular black holes always leads to the formation of a horizonless object. We introduce notions of NEC horizon and prove that the apparent horizon can be null surface if and only if it coincides with the NEC horizon. We also prove that energy conditions can lead to a situation when the mass of the black hole grows and the apparent horizon decreases, which can open the way to the explanation of the information loss paradox.http://www.sciencedirect.com/science/article/pii/S0370269325003685Dynamical black holeEnergy conditionsApparent horizonsBlack hole evaporationRegular black holeHorizonless objects
spellingShingle Vitalii Vertogradov
Dynamical black holes: Apparent horizon versus energy conditions
Physics Letters B
Dynamical black hole
Energy conditions
Apparent horizons
Black hole evaporation
Regular black hole
Horizonless objects
title Dynamical black holes: Apparent horizon versus energy conditions
title_full Dynamical black holes: Apparent horizon versus energy conditions
title_fullStr Dynamical black holes: Apparent horizon versus energy conditions
title_full_unstemmed Dynamical black holes: Apparent horizon versus energy conditions
title_short Dynamical black holes: Apparent horizon versus energy conditions
title_sort dynamical black holes apparent horizon versus energy conditions
topic Dynamical black hole
Energy conditions
Apparent horizons
Black hole evaporation
Regular black hole
Horizonless objects
url http://www.sciencedirect.com/science/article/pii/S0370269325003685
work_keys_str_mv AT vitaliivertogradov dynamicalblackholesapparenthorizonversusenergyconditions