Properties of the wormhole model in de Rham–Gabadadze–Tolley like massive gravity with specific matter density

Abstract In the conventional method of studying wormhole (WH) geometry, traversability requires the presence of exotic matter, which also provides negative gravity effects to keep the wormhole throat open. In de Rham–Gabadadze–Tolley (dRGT) massive gravity theory, we produce two types of WH solution...

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Main Author: Piyali Bhar
Format: Article
Language:English
Published: SpringerOpen 2025-01-01
Series:European Physical Journal C: Particles and Fields
Online Access:https://doi.org/10.1140/epjc/s10052-024-13670-0
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author Piyali Bhar
author_facet Piyali Bhar
author_sort Piyali Bhar
collection DOAJ
description Abstract In the conventional method of studying wormhole (WH) geometry, traversability requires the presence of exotic matter, which also provides negative gravity effects to keep the wormhole throat open. In de Rham–Gabadadze–Tolley (dRGT) massive gravity theory, we produce two types of WH solutions in our present paper. We obtain the field equations for exact WH solutions by selecting a static and spherically symmetric metric for the background geometry. We derive the WH geometry completely for the two different choices of redshift functions. The obtained WH solutions violate all the energy conditions, including the null energy condition (NEC). Various plots are used to illustrate the behavior of the wormhole for a suitable range of $$m^2c_1$$ m 2 c 1 , where m is the graviton mass. It is observed that the photon deflection angle becomes negative for all values of $$m^2c_1$$ m 2 c 1 as a result of the repulsive action of gravity. It is also shown that the repulsive impact of massive gravitons pushes the spacetime geometry so strongly that the asymptotic flatness is affected. The volume integral quantifier (VIQ) is computed to determine the amounts of matter that violate the null energy condition. The complexity factor of the proposed model is also discussed.
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spelling doaj-art-abd0dcf754ae41ff9c10374b868b23d42025-01-05T12:43:59ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60522025-01-0185111510.1140/epjc/s10052-024-13670-0Properties of the wormhole model in de Rham–Gabadadze–Tolley like massive gravity with specific matter densityPiyali Bhar0Department of Mathematics, Government General Degree College SingurAbstract In the conventional method of studying wormhole (WH) geometry, traversability requires the presence of exotic matter, which also provides negative gravity effects to keep the wormhole throat open. In de Rham–Gabadadze–Tolley (dRGT) massive gravity theory, we produce two types of WH solutions in our present paper. We obtain the field equations for exact WH solutions by selecting a static and spherically symmetric metric for the background geometry. We derive the WH geometry completely for the two different choices of redshift functions. The obtained WH solutions violate all the energy conditions, including the null energy condition (NEC). Various plots are used to illustrate the behavior of the wormhole for a suitable range of $$m^2c_1$$ m 2 c 1 , where m is the graviton mass. It is observed that the photon deflection angle becomes negative for all values of $$m^2c_1$$ m 2 c 1 as a result of the repulsive action of gravity. It is also shown that the repulsive impact of massive gravitons pushes the spacetime geometry so strongly that the asymptotic flatness is affected. The volume integral quantifier (VIQ) is computed to determine the amounts of matter that violate the null energy condition. The complexity factor of the proposed model is also discussed.https://doi.org/10.1140/epjc/s10052-024-13670-0
spellingShingle Piyali Bhar
Properties of the wormhole model in de Rham–Gabadadze–Tolley like massive gravity with specific matter density
European Physical Journal C: Particles and Fields
title Properties of the wormhole model in de Rham–Gabadadze–Tolley like massive gravity with specific matter density
title_full Properties of the wormhole model in de Rham–Gabadadze–Tolley like massive gravity with specific matter density
title_fullStr Properties of the wormhole model in de Rham–Gabadadze–Tolley like massive gravity with specific matter density
title_full_unstemmed Properties of the wormhole model in de Rham–Gabadadze–Tolley like massive gravity with specific matter density
title_short Properties of the wormhole model in de Rham–Gabadadze–Tolley like massive gravity with specific matter density
title_sort properties of the wormhole model in de rham gabadadze tolley like massive gravity with specific matter density
url https://doi.org/10.1140/epjc/s10052-024-13670-0
work_keys_str_mv AT piyalibhar propertiesofthewormholemodelinderhamgabadadzetolleylikemassivegravitywithspecificmatterdensity