Wormhole geometries in f(Q) gravity and the energy conditions

Abstract Following the recent theory of f(Q) gravity, we continue to investigate the possible existence of wormhole geometries, where Q is the non-metricity scalar. Recently, the non-metricity scalar and the corresponding field equations have been studied for some spherically symmetric configuration...

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Autores principales: Ayan Banerjee, Anirudh Pradhan, Takol Tangphati, Farook Rahaman
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Lenguaje:EN
Publicado: SpringerOpen 2021
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spelling oai:doaj.org-article:b3a44b2891b6491ea7f015e2f9988e4b2021-11-28T12:11:37ZWormhole geometries in f(Q) gravity and the energy conditions10.1140/epjc/s10052-021-09854-71434-60441434-6052https://doaj.org/article/b3a44b2891b6491ea7f015e2f9988e4b2021-11-01T00:00:00Zhttps://doi.org/10.1140/epjc/s10052-021-09854-7https://doaj.org/toc/1434-6044https://doaj.org/toc/1434-6052Abstract Following the recent theory of f(Q) gravity, we continue to investigate the possible existence of wormhole geometries, where Q is the non-metricity scalar. Recently, the non-metricity scalar and the corresponding field equations have been studied for some spherically symmetric configurations in Mustafa (Phys Lett B 821:136612, 2021) and Lin and Zhai (Phys Rev D 103:124001, 2021). One can note that field equations are different in these two studies. Following Lin and Zhai (2021), we systematically study the field equations for wormhole solutions and found the violation of null energy conditions in the throat neighborhood. More specifically, considering specific choices for the f(Q) form and for constant redshift with different shape functions, we present a class of solutions for static and spherically symmetric wormholes. Our survey indicates that wormhole solutions could not exist for specific form function $$f(Q)= Q+ \alpha Q^2$$ f ( Q ) = Q + α Q 2 . To summarize, exact wormhole models can be constructed with violation of the null energy condition throughout the spacetime while being $$\rho \ge 0$$ ρ ≥ 0 and vice versa.Ayan BanerjeeAnirudh PradhanTakol TangphatiFarook RahamanSpringerOpenarticleAstrophysicsQB460-466Nuclear and particle physics. Atomic energy. RadioactivityQC770-798ENEuropean Physical Journal C: Particles and Fields, Vol 81, Iss 11, Pp 1-7 (2021)
institution DOAJ
collection DOAJ
language EN
topic Astrophysics
QB460-466
Nuclear and particle physics. Atomic energy. Radioactivity
QC770-798
spellingShingle Astrophysics
QB460-466
Nuclear and particle physics. Atomic energy. Radioactivity
QC770-798
Ayan Banerjee
Anirudh Pradhan
Takol Tangphati
Farook Rahaman
Wormhole geometries in f(Q) gravity and the energy conditions
description Abstract Following the recent theory of f(Q) gravity, we continue to investigate the possible existence of wormhole geometries, where Q is the non-metricity scalar. Recently, the non-metricity scalar and the corresponding field equations have been studied for some spherically symmetric configurations in Mustafa (Phys Lett B 821:136612, 2021) and Lin and Zhai (Phys Rev D 103:124001, 2021). One can note that field equations are different in these two studies. Following Lin and Zhai (2021), we systematically study the field equations for wormhole solutions and found the violation of null energy conditions in the throat neighborhood. More specifically, considering specific choices for the f(Q) form and for constant redshift with different shape functions, we present a class of solutions for static and spherically symmetric wormholes. Our survey indicates that wormhole solutions could not exist for specific form function $$f(Q)= Q+ \alpha Q^2$$ f ( Q ) = Q + α Q 2 . To summarize, exact wormhole models can be constructed with violation of the null energy condition throughout the spacetime while being $$\rho \ge 0$$ ρ ≥ 0 and vice versa.
format article
author Ayan Banerjee
Anirudh Pradhan
Takol Tangphati
Farook Rahaman
author_facet Ayan Banerjee
Anirudh Pradhan
Takol Tangphati
Farook Rahaman
author_sort Ayan Banerjee
title Wormhole geometries in f(Q) gravity and the energy conditions
title_short Wormhole geometries in f(Q) gravity and the energy conditions
title_full Wormhole geometries in f(Q) gravity and the energy conditions
title_fullStr Wormhole geometries in f(Q) gravity and the energy conditions
title_full_unstemmed Wormhole geometries in f(Q) gravity and the energy conditions
title_sort wormhole geometries in f(q) gravity and the energy conditions
publisher SpringerOpen
publishDate 2021
url https://doaj.org/article/b3a44b2891b6491ea7f015e2f9988e4b
work_keys_str_mv AT ayanbanerjee wormholegeometriesinfqgravityandtheenergyconditions
AT anirudhpradhan wormholegeometriesinfqgravityandtheenergyconditions
AT takoltangphati wormholegeometriesinfqgravityandtheenergyconditions
AT farookrahaman wormholegeometriesinfqgravityandtheenergyconditions
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