Anisotropic compact stellar solution in general relativity

Abstract We present herein a new class of singularity-free interior solutions to describe realistic anisotropic compact stellar objects with spherically symmetric matter distribution. A specific form of anisotropy is assumed to obtain the exact solution for the field equation. Smooth matching of int...

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Main Authors: Lipi Baskey, Saibal Ray, Shyam Das, Shreya Majumder, Ananya Das
Format: Article
Language:English
Published: SpringerOpen 2023-04-01
Series:European Physical Journal C: Particles and Fields
Online Access:https://doi.org/10.1140/epjc/s10052-023-11351-y
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author Lipi Baskey
Saibal Ray
Shyam Das
Shreya Majumder
Ananya Das
author_facet Lipi Baskey
Saibal Ray
Shyam Das
Shreya Majumder
Ananya Das
author_sort Lipi Baskey
collection DOAJ
description Abstract We present herein a new class of singularity-free interior solutions to describe realistic anisotropic compact stellar objects with spherically symmetric matter distribution. A specific form of anisotropy is assumed to obtain the exact solution for the field equation. Smooth matching of interior solutions thus obtained with the Schwarzschild exterior metric over the bounding surface of a compact star, together with the condition that the radial pressure vanishes at the boundary, is used to obtain the mathematical form for the model parameters. The pulsar 4U1608-52 with its current estimated data (mass  $$=1.57 ~M\odot $$ = 1.57 M ⊙ and radius $$=9.8 \pm 0.8$$ = 9.8 ± 0.8  km; Özel et al. in ApJ 820:28, 2016) is used to study the model graphically.
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spelling doaj.art-bea9eeb63b4d4da89ac322828c50b3de2023-05-21T11:24:32ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60522023-04-0183411310.1140/epjc/s10052-023-11351-yAnisotropic compact stellar solution in general relativityLipi Baskey0Saibal Ray1Shyam Das2Shreya Majumder3Ananya Das4Department of Mathematics, Jadavpur UniversityCentre for Cosmology, Astrophysics and Space Science, GLA UniversityDepartment of Physics, Malda CollegeDepartment of Physics, North Bengal St. Xavier’s CollegeDepartment of Physics, University of KalyaniAbstract We present herein a new class of singularity-free interior solutions to describe realistic anisotropic compact stellar objects with spherically symmetric matter distribution. A specific form of anisotropy is assumed to obtain the exact solution for the field equation. Smooth matching of interior solutions thus obtained with the Schwarzschild exterior metric over the bounding surface of a compact star, together with the condition that the radial pressure vanishes at the boundary, is used to obtain the mathematical form for the model parameters. The pulsar 4U1608-52 with its current estimated data (mass  $$=1.57 ~M\odot $$ = 1.57 M ⊙ and radius $$=9.8 \pm 0.8$$ = 9.8 ± 0.8  km; Özel et al. in ApJ 820:28, 2016) is used to study the model graphically.https://doi.org/10.1140/epjc/s10052-023-11351-y
spellingShingle Lipi Baskey
Saibal Ray
Shyam Das
Shreya Majumder
Ananya Das
Anisotropic compact stellar solution in general relativity
European Physical Journal C: Particles and Fields
title Anisotropic compact stellar solution in general relativity
title_full Anisotropic compact stellar solution in general relativity
title_fullStr Anisotropic compact stellar solution in general relativity
title_full_unstemmed Anisotropic compact stellar solution in general relativity
title_short Anisotropic compact stellar solution in general relativity
title_sort anisotropic compact stellar solution in general relativity
url https://doi.org/10.1140/epjc/s10052-023-11351-y
work_keys_str_mv AT lipibaskey anisotropiccompactstellarsolutioningeneralrelativity
AT saibalray anisotropiccompactstellarsolutioningeneralrelativity
AT shyamdas anisotropiccompactstellarsolutioningeneralrelativity
AT shreyamajumder anisotropiccompactstellarsolutioningeneralrelativity
AT ananyadas anisotropiccompactstellarsolutioningeneralrelativity