A generalized static spherically symmetric anisotropic compact stellar model

Abstract We report here a new exact solution of the Einstein field equations that describes a static spherically symmetric, anisotropic compact stellar fluid sphere. A generalized metric form corresponding to the $$g_{rr}$$ g rr component and a specific anisotropic profile generates the model. The n...

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Main Authors: Megandhren Govender, Shyam Das
Format: Article
Language:English
Published: SpringerOpen 2024-04-01
Series:European Physical Journal C: Particles and Fields
Online Access:https://doi.org/10.1140/epjc/s10052-024-12716-7
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author Megandhren Govender
Shyam Das
author_facet Megandhren Govender
Shyam Das
author_sort Megandhren Govender
collection DOAJ
description Abstract We report here a new exact solution of the Einstein field equations that describes a static spherically symmetric, anisotropic compact stellar fluid sphere. A generalized metric form corresponding to the $$g_{rr}$$ g rr component and a specific anisotropic profile generates the model. The new class of generalized solutions reduces to Finch-Skea, Vaidya Tikekar and Schwarzschild interior solutions for specific cho-ices of the model parameters. The model parameters have been determined from the continuity of the interior and exterior metrics at the surface of the star and setting the radial pressure at the boundary to zero. Recent observed measurements from some pulsars as sources have been utilized to validate our model.
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spelling doaj.art-5180a1f131b54be2b3a8107eea7708cd2024-04-14T11:26:11ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60522024-04-0184411310.1140/epjc/s10052-024-12716-7A generalized static spherically symmetric anisotropic compact stellar modelMegandhren Govender0Shyam Das1Department of Mathematics, Faculty of Applied Sciences, Durban University of TechnologyDepartment of Physics, Malda CollegeAbstract We report here a new exact solution of the Einstein field equations that describes a static spherically symmetric, anisotropic compact stellar fluid sphere. A generalized metric form corresponding to the $$g_{rr}$$ g rr component and a specific anisotropic profile generates the model. The new class of generalized solutions reduces to Finch-Skea, Vaidya Tikekar and Schwarzschild interior solutions for specific cho-ices of the model parameters. The model parameters have been determined from the continuity of the interior and exterior metrics at the surface of the star and setting the radial pressure at the boundary to zero. Recent observed measurements from some pulsars as sources have been utilized to validate our model.https://doi.org/10.1140/epjc/s10052-024-12716-7
spellingShingle Megandhren Govender
Shyam Das
A generalized static spherically symmetric anisotropic compact stellar model
European Physical Journal C: Particles and Fields
title A generalized static spherically symmetric anisotropic compact stellar model
title_full A generalized static spherically symmetric anisotropic compact stellar model
title_fullStr A generalized static spherically symmetric anisotropic compact stellar model
title_full_unstemmed A generalized static spherically symmetric anisotropic compact stellar model
title_short A generalized static spherically symmetric anisotropic compact stellar model
title_sort generalized static spherically symmetric anisotropic compact stellar model
url https://doi.org/10.1140/epjc/s10052-024-12716-7
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