Gravitational collapse in energy-momentum squared gravity: Nature of singularities

In this paper we explore a collapsing scenario in the background of energy-momentum squared gravity (EMSG). EMSG claims to have terms that originate from the quantum gravity effects mimicking loop quantum gravity. As a result the framework admits a bounce at a finite time thus avoiding a singularity...

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Main Author: Prabir Rudra
Format: Article
Language:English
Published: Elsevier 2024-03-01
Series:Nuclear Physics B
Online Access:http://www.sciencedirect.com/science/article/pii/S0550321324000270
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author Prabir Rudra
author_facet Prabir Rudra
author_sort Prabir Rudra
collection DOAJ
description In this paper we explore a collapsing scenario in the background of energy-momentum squared gravity (EMSG). EMSG claims to have terms that originate from the quantum gravity effects mimicking loop quantum gravity. As a result the framework admits a bounce at a finite time thus avoiding a singularity. So the question that naturally arises: Is there any realistic chance of formation of a black hole or the quantum gravity effects are strong enough to totally avoid such a pathology? Motivated from this we are interested in studying a gravitational collapse mechanism in the background of EMSG and investigate the fate of such a process. We model the spacetime of a massive star by the Vaidya metric and derive the field equations in EMSG. Then using the equations we go on to study a gravitational collapse mechanism, on two specific models of EMSG with different forms of curvature-matter coupling. The prime objective is to probe the nature of singularity (if formed) as the end state of the collapse. We see that none of the models generically admit the formation of black holes as the end state of collapse, but on the contrary they support the formation of naked singularities. This can be attributed to the quantum fluctuations of the gravitational interactions at the fundamental level.
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spelling doaj.art-f4b43612767c48c0b61bdc85cdce186c2024-03-06T05:25:27ZengElsevierNuclear Physics B0550-32132024-03-011000116461Gravitational collapse in energy-momentum squared gravity: Nature of singularitiesPrabir Rudra0Department of Mathematics, Asutosh College, Kolkata, 700 026, IndiaIn this paper we explore a collapsing scenario in the background of energy-momentum squared gravity (EMSG). EMSG claims to have terms that originate from the quantum gravity effects mimicking loop quantum gravity. As a result the framework admits a bounce at a finite time thus avoiding a singularity. So the question that naturally arises: Is there any realistic chance of formation of a black hole or the quantum gravity effects are strong enough to totally avoid such a pathology? Motivated from this we are interested in studying a gravitational collapse mechanism in the background of EMSG and investigate the fate of such a process. We model the spacetime of a massive star by the Vaidya metric and derive the field equations in EMSG. Then using the equations we go on to study a gravitational collapse mechanism, on two specific models of EMSG with different forms of curvature-matter coupling. The prime objective is to probe the nature of singularity (if formed) as the end state of the collapse. We see that none of the models generically admit the formation of black holes as the end state of collapse, but on the contrary they support the formation of naked singularities. This can be attributed to the quantum fluctuations of the gravitational interactions at the fundamental level.http://www.sciencedirect.com/science/article/pii/S0550321324000270
spellingShingle Prabir Rudra
Gravitational collapse in energy-momentum squared gravity: Nature of singularities
Nuclear Physics B
title Gravitational collapse in energy-momentum squared gravity: Nature of singularities
title_full Gravitational collapse in energy-momentum squared gravity: Nature of singularities
title_fullStr Gravitational collapse in energy-momentum squared gravity: Nature of singularities
title_full_unstemmed Gravitational collapse in energy-momentum squared gravity: Nature of singularities
title_short Gravitational collapse in energy-momentum squared gravity: Nature of singularities
title_sort gravitational collapse in energy momentum squared gravity nature of singularities
url http://www.sciencedirect.com/science/article/pii/S0550321324000270
work_keys_str_mv AT prabirrudra gravitationalcollapseinenergymomentumsquaredgravitynatureofsingularities