Compact stars on pseudo-spheroidal spacetime compatible with observational data

TL;DR

This paper introduces a new class of solutions for Einstein's field equations modeling compact stars on pseudo-spheroidal spacetime, demonstrating compatibility with observational data and satisfying physical acceptability criteria.

Contribution

It presents a novel solution class for anisotropic compact stars on pseudo-spheroidal spacetime, with parameter bounds ensuring physical viability and observational consistency.

Findings

Model parameters fit observational data of various compact stars.

Solutions satisfy regularity, stability, and energy conditions.

Model is compatible with multiple observed compact stars.

Abstract

A new class of solutions for Einstein's field equations representing a static spherically symmetric anisotropic distribution of matter is obtained on the background of pseudo-spheroidal spacetime. We have prescribed the bounds of the model parameters $ k $ and $ p_0 $ on the basis of the elementary criteria for physical acceptability, viz., regularity, stability and energy conditions. By taking the values of model parameters from the prescribed bounds, we have shown that our model is compatible with the observational data of a wide variety of compact stars like 4U 1820-30, PSR J1903+327, 4U 1608-52, Vela X-1, PSR J1614-2230, SMC X-4 and Cen X-3.