A Tolman-like Compact Model with Conformal Geometry

In this investigation, we study a model of a charged anisotropic compact star by assuming a relationship between the metric functions arising from a conformal symmetry. This mechanism leads to a first-order differential equation containing pressure anisotropy and the electric field. Particular forms...

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Auteurs principaux:	Didier Kileba Matondo, Sunil D. Maharaj
Format:	article
Langue:	EN
Publié:	MDPI AG 2021
Sujets:	tolman geometry conformal symmetry compact objects Science Q Astrophysics QB460-466 Physics QC1-999
Accès en ligne:	https://doaj.org/article/6c981a6bf9e4416a96f61c32acad7d83
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id	oai:doaj.org-article:6c981a6bf9e4416a96f61c32acad7d83
record_format	dspace
spelling	oai:doaj.org-article:6c981a6bf9e4416a96f61c32acad7d832021-11-25T17:29:24ZA Tolman-like Compact Model with Conformal Geometry10.3390/e231114061099-4300https://doaj.org/article/6c981a6bf9e4416a96f61c32acad7d832021-10-01T00:00:00Zhttps://www.mdpi.com/1099-4300/23/11/1406https://doaj.org/toc/1099-4300In this investigation, we study a model of a charged anisotropic compact star by assuming a relationship between the metric functions arising from a conformal symmetry. This mechanism leads to a first-order differential equation containing pressure anisotropy and the electric field. Particular forms of the electric field intensity, combined with the Tolman VII metric, are used to solve the Einstein–Maxwell field equations. New classes of exact solutions generated are expressed in terms of elementary functions. For specific parameter values based on the physical requirements, it is shown that the model satisfies the causality, stability and energy conditions. Numerical values generated for masses, radii, central densities, surface redshifts and compactness factors are consistent with compact objects such as PSR J1614-2230 and SMC X-1.Didier Kileba MatondoSunil D. MaharajMDPI AGarticletolman geometryconformal symmetrycompact objectsScienceQAstrophysicsQB460-466PhysicsQC1-999ENEntropy, Vol 23, Iss 1406, p 1406 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	tolman geometry conformal symmetry compact objects Science Q Astrophysics QB460-466 Physics QC1-999
spellingShingle	tolman geometry conformal symmetry compact objects Science Q Astrophysics QB460-466 Physics QC1-999 Didier Kileba Matondo Sunil D. Maharaj A Tolman-like Compact Model with Conformal Geometry
description	In this investigation, we study a model of a charged anisotropic compact star by assuming a relationship between the metric functions arising from a conformal symmetry. This mechanism leads to a first-order differential equation containing pressure anisotropy and the electric field. Particular forms of the electric field intensity, combined with the Tolman VII metric, are used to solve the Einstein–Maxwell field equations. New classes of exact solutions generated are expressed in terms of elementary functions. For specific parameter values based on the physical requirements, it is shown that the model satisfies the causality, stability and energy conditions. Numerical values generated for masses, radii, central densities, surface redshifts and compactness factors are consistent with compact objects such as PSR J1614-2230 and SMC X-1.
format	article
author	Didier Kileba Matondo Sunil D. Maharaj
author_facet	Didier Kileba Matondo Sunil D. Maharaj
author_sort	Didier Kileba Matondo
title	A Tolman-like Compact Model with Conformal Geometry
title_short	A Tolman-like Compact Model with Conformal Geometry
title_full	A Tolman-like Compact Model with Conformal Geometry
title_fullStr	A Tolman-like Compact Model with Conformal Geometry
title_full_unstemmed	A Tolman-like Compact Model with Conformal Geometry
title_sort	tolman-like compact model with conformal geometry
publisher	MDPI AG
publishDate	2021
url	https://doaj.org/article/6c981a6bf9e4416a96f61c32acad7d83
work_keys_str_mv	AT didierkilebamatondo atolmanlikecompactmodelwithconformalgeometry AT sunildmaharaj atolmanlikecompactmodelwithconformalgeometry AT didierkilebamatondo tolmanlikecompactmodelwithconformalgeometry AT sunildmaharaj tolmanlikecompactmodelwithconformalgeometry
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A Tolman-like Compact Model with Conformal Geometry

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