Regular Article - Theoretical Physics
Anisotropic compact stellar solution in general relativity
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
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
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