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...
Main Authors: | , , , , |
---|---|
Format: | Article |
Language: | English |
Published: |
Elsevier
2020-10-01
|
Series: | Physics Letters B |
Online Access: | http://www.sciencedirect.com/science/article/pii/S0370269320305372 |
_version_ | 1819205737272836096 |
---|---|
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. |
first_indexed | 2024-12-23T04:56:27Z |
format | Article |
id | doaj.art-625aefa80cfc41a995d00c7ab982fce6 |
institution | Directory Open Access Journal |
issn | 0370-2693 |
language | English |
last_indexed | 2024-12-23T04:56:27Z |
publishDate | 2020-10-01 |
publisher | Elsevier |
record_format | Article |
series | Physics Letters B |
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 |
work_keys_str_mv | AT kknandi onthehoopconjectureineinsteingravitycoupledtononlinearelectrodynamics AT rnizmailov onthehoopconjectureineinsteingravitycoupledtononlinearelectrodynamics AT gmgaripova onthehoopconjectureineinsteingravitycoupledtononlinearelectrodynamics AT rrvolotskova onthehoopconjectureineinsteingravitycoupledtononlinearelectrodynamics AT aapotapov onthehoopconjectureineinsteingravitycoupledtononlinearelectrodynamics |