https://doi.org/10.1140/epjp/s13360-023-04216-6
Regular Article
A physically viable model for a compact star and its compactness bound
1
Department of Mathematics, Eastern University, Chenkalady, Sri Lanka
2
Department of Physics, Cooch Behar Panchanan Barma University, 736101, Cooch Behar, West Bengal, India
Received:
5
March
2023
Accepted:
21
June
2023
Published online:
6
July
2023
In this paper, we generate exact solutions for anisotropic fluid spheres in the context of General Relativity. Some well-studied stellar solutions are shown to be subsets of the developed solution. Ours is a three-parameter (M, R, and A) family of solutions where M is the mass, R is the radius and the parameter A fixes the anisotropy. We demonstrate how the developed solutions can be utilized to model compact objects such as neutron and quark stars, particularly by considering the estimated masses and radii of PSR 
, PSR 
, PSR 
and SMC X 
. We also obtain the maximum compactness bound for our class of stars which might be treated as an anisotropic generalization of the well-known Buchdahl compactness bound.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2023. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
