On the hoop conjecture in Einstein gravity coupled to nonlinear electrodynamics

The famous hoop conjecture by Thorne has been claimed to be violated in curved spacetimes coupled to linear electrodynamics. Hod [1] has recently refuted this claim by clarifying the status and validity of the conjecture appropriately interpreting the gravitational mass M. However, it turns out that...

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Main Authors: K.K. Nandi, R.N. Izmailov, G.M. Garipova, R.R. Volotskova, A.A. Potapov
Format: Article
Language:English
Published: Elsevier 2020-10-01
Series:Physics Letters B
Online Access:http://www.sciencedirect.com/science/article/pii/S0370269320305372
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author K.K. Nandi
R.N. Izmailov
G.M. Garipova
R.R. Volotskova
A.A. Potapov
author_facet K.K. Nandi
R.N. Izmailov
G.M. Garipova
R.R. Volotskova
A.A. Potapov
author_sort K.K. Nandi
collection DOAJ
description The famous hoop conjecture by Thorne has been claimed to be violated in curved spacetimes coupled to linear electrodynamics. Hod [1] has recently refuted this claim by clarifying the status and validity of the conjecture appropriately interpreting the gravitational mass M. However, it turns out that violations of the conjecture might seemingly occur also in the well known regular curved spacetimes of gravity coupled to nonlinear electrodynamics. Using the interpretation of M in a generic form accommodating nonlinear electrodynamic coupling, we illustrate that the conjecture is not violated even in such curved spacetimes. In the process, we introduce a Hod function summarizing the conjecture and find that it surprisingly encapsulates the transition regimes between “horizon and no horizon” across the critical values determined essentially by the concerned curved geometries.
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spelling doaj.art-625aefa80cfc41a995d00c7ab982fce62022-12-21T17:59:19ZengElsevierPhysics Letters B0370-26932020-10-01809135734On the hoop conjecture in Einstein gravity coupled to nonlinear electrodynamicsK.K. Nandi0R.N. Izmailov1G.M. Garipova2R.R. Volotskova3A.A. Potapov4Zel'dovich International Center for Astrophysics, Bashkir State Pedagogical University, 3A, October Revolution Street, Ufa 450008, RB, Russia; Department of Physics & Astronomy, Bashkir State University, 47A, Lenin Street, Sterlitamak 453103, RB, Russia; High Energy Cosmic Ray Research Center, University of North Bengal, Darjeeling 734 013, WB, IndiaZel'dovich International Center for Astrophysics, Bashkir State Pedagogical University, 3A, October Revolution Street, Ufa 450008, RB, Russia; Corresponding author.Zel'dovich International Center for Astrophysics, Bashkir State Pedagogical University, 3A, October Revolution Street, Ufa 450008, RB, RussiaZel'dovich International Center for Astrophysics, Bashkir State Pedagogical University, 3A, October Revolution Street, Ufa 450008, RB, Russia; Salavat Industrial College, 27 Matrosova Boulevard, Salavat 453259, RB, RussiaDepartment of Physics & Astronomy, Bashkir State University, 47A, Lenin Street, Sterlitamak 453103, RB, RussiaThe famous hoop conjecture by Thorne has been claimed to be violated in curved spacetimes coupled to linear electrodynamics. Hod [1] has recently refuted this claim by clarifying the status and validity of the conjecture appropriately interpreting the gravitational mass M. However, it turns out that violations of the conjecture might seemingly occur also in the well known regular curved spacetimes of gravity coupled to nonlinear electrodynamics. Using the interpretation of M in a generic form accommodating nonlinear electrodynamic coupling, we illustrate that the conjecture is not violated even in such curved spacetimes. In the process, we introduce a Hod function summarizing the conjecture and find that it surprisingly encapsulates the transition regimes between “horizon and no horizon” across the critical values determined essentially by the concerned curved geometries.http://www.sciencedirect.com/science/article/pii/S0370269320305372
spellingShingle K.K. Nandi
R.N. Izmailov
G.M. Garipova
R.R. Volotskova
A.A. Potapov
On the hoop conjecture in Einstein gravity coupled to nonlinear electrodynamics
Physics Letters B
title On the hoop conjecture in Einstein gravity coupled to nonlinear electrodynamics
title_full On the hoop conjecture in Einstein gravity coupled to nonlinear electrodynamics
title_fullStr On the hoop conjecture in Einstein gravity coupled to nonlinear electrodynamics
title_full_unstemmed On the hoop conjecture in Einstein gravity coupled to nonlinear electrodynamics
title_short On the hoop conjecture in Einstein gravity coupled to nonlinear electrodynamics
title_sort on the hoop conjecture in einstein gravity coupled to nonlinear electrodynamics
url http://www.sciencedirect.com/science/article/pii/S0370269320305372
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