https://doi.org/10.1140/epjc/s10052-023-11351-y
Regular Article - Theoretical Physics
Anisotropic compact stellar solution in general relativity
1
Department of Mathematics, Jadavpur University, 700 032, Kolkata, West Bengal, India
2
Department of Mathematics, Government General Degree College, Kushmandi, 733121, Dakshin Dinajpur, West Bengal, India
3
Centre for Cosmology, Astrophysics and Space Science, GLA University, 281406, Mathura, Uttar Pradesh, India
4
Department of Physics, Malda College, 732101, Malda, West Bengal, India
5
Department of Physics, North Bengal St. Xavier’s College, 735135, Jalpaiguri, West Bengal, India
6
Department of Physics, University of Kalyani, 741235, Nadia, West Bengal, India
Received:
30
January
2023
Accepted:
22
February
2023
Published online:
20
April
2023
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 
and radius 
km; Özel et al. in ApJ 820:28, 2016) is used to study the model graphically.
© The Author(s) 2023
Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/.
Funded by SCOAP3. SCOAP3 supports the goals of the International Year of Basic Sciences for Sustainable Development.
