Traversable Wormholes Existence in fR,T Gravity Involving Trace-Squared Term with Nonexotic Matter

In Einstein’s relativity theory, the existence of traversable wormholes requires the involvement of exotic matter which violates the null energy condition (NEC). Our aim, in this article, is to construct wormhole solutions with the nonexotic matter. To achieve this, we choose an interesting gravitat...

Full description

Saved in:
Bibliographic Details
Main Authors: M. Zubair, Quratulien Muneer, Saira Waheed
Format: Article
Language:English
Published: Wiley 2021-01-01
Series:Advances in Astronomy
Online Access:http://dx.doi.org/10.1155/2021/6680069
Tags: Add Tag
No Tags, Be the first to tag this record!
_version_ 1832561523032064000
author M. Zubair
Quratulien Muneer
Saira Waheed
author_facet M. Zubair
Quratulien Muneer
Saira Waheed
author_sort M. Zubair
collection DOAJ
description In Einstein’s relativity theory, the existence of traversable wormholes requires the involvement of exotic matter which violates the null energy condition (NEC). Our aim, in this article, is to construct wormhole solutions with the nonexotic matter. To achieve this, we choose an interesting gravitational framework of fℛ,T theory which contains a quadratic term of energy-momentum tensor Tij trace and a well-known Starobinsky fℛ model in its extended form. We analyze the behavior of energy constraints in the framework of fℛ,T=ℛ+αℛ2+γℛn+λT2 (where α, γ, and λ are some random constants) model for the well-proposed shape function Sr=r0r0/rε (where ε is a constant and r0 is the wormhole throat). A detailed analysis of validity regions is presented for some choices of coupling parameters along with the free parameter of EoS β,m. It is shown that, under this model, the existence of viable wormhole geometry is possible without requiring any exotic matter.
format Article
id doaj-art-b940c898e9654b31ac02d9a47e9bbd2e
institution Kabale University
issn 1687-7969
1687-7977
language English
publishDate 2021-01-01
publisher Wiley
record_format Article
series Advances in Astronomy
spelling doaj-art-b940c898e9654b31ac02d9a47e9bbd2e2025-02-03T01:24:54ZengWileyAdvances in Astronomy1687-79691687-79772021-01-01202110.1155/2021/66800696680069Traversable Wormholes Existence in fR,T Gravity Involving Trace-Squared Term with Nonexotic MatterM. Zubair0Quratulien Muneer1Saira Waheed2Department of Mathematics, COMSATS University Islamabad, Lahore Campus, Lahore, PakistanDepartment of Mathematics, COMSATS University Islamabad, Lahore Campus, Lahore, PakistanPrince Mohammad Bin Fahd University, Khobar, Saudi ArabiaIn Einstein’s relativity theory, the existence of traversable wormholes requires the involvement of exotic matter which violates the null energy condition (NEC). Our aim, in this article, is to construct wormhole solutions with the nonexotic matter. To achieve this, we choose an interesting gravitational framework of fℛ,T theory which contains a quadratic term of energy-momentum tensor Tij trace and a well-known Starobinsky fℛ model in its extended form. We analyze the behavior of energy constraints in the framework of fℛ,T=ℛ+αℛ2+γℛn+λT2 (where α, γ, and λ are some random constants) model for the well-proposed shape function Sr=r0r0/rε (where ε is a constant and r0 is the wormhole throat). A detailed analysis of validity regions is presented for some choices of coupling parameters along with the free parameter of EoS β,m. It is shown that, under this model, the existence of viable wormhole geometry is possible without requiring any exotic matter.http://dx.doi.org/10.1155/2021/6680069
spellingShingle M. Zubair
Quratulien Muneer
Saira Waheed
Traversable Wormholes Existence in fR,T Gravity Involving Trace-Squared Term with Nonexotic Matter
Advances in Astronomy
title Traversable Wormholes Existence in fR,T Gravity Involving Trace-Squared Term with Nonexotic Matter
title_full Traversable Wormholes Existence in fR,T Gravity Involving Trace-Squared Term with Nonexotic Matter
title_fullStr Traversable Wormholes Existence in fR,T Gravity Involving Trace-Squared Term with Nonexotic Matter
title_full_unstemmed Traversable Wormholes Existence in fR,T Gravity Involving Trace-Squared Term with Nonexotic Matter
title_short Traversable Wormholes Existence in fR,T Gravity Involving Trace-Squared Term with Nonexotic Matter
title_sort traversable wormholes existence in fr t gravity involving trace squared term with nonexotic matter
url http://dx.doi.org/10.1155/2021/6680069
work_keys_str_mv AT mzubair traversablewormholesexistenceinfrtgravityinvolvingtracesquaredtermwithnonexoticmatter
AT quratulienmuneer traversablewormholesexistenceinfrtgravityinvolvingtracesquaredtermwithnonexoticmatter
AT sairawaheed traversablewormholesexistenceinfrtgravityinvolvingtracesquaredtermwithnonexoticmatter