Behavior of anisotropic fluids with Chaplygin equation of state in Buchdahl spacetime

TL;DR

This paper develops a new anisotropic compact star model using the Chaplygin equation of state within Buchdahl spacetime, providing a non-singular, energy-condition-satisfying solution that closely matches observed pulsars.

Contribution

It introduces a novel anisotropic star model with Chaplygin EoS in Buchdahl spacetime, offering explicit solutions and physical viability analysis.

Findings

Model is non-singular and well-behaved.

Satisfies all energy conditions.

Matches observed compact stars closely.

Abstract

In the present study we have proposed a new model of an anisotropic compact star which admits the Chaplygin equation of state. For this purpose, we consider Buchdahl ansatz. We obtain the solution of proposed model in closed form which is non-singular, regular and well-behaved. In addition to this, we show that the model satisfies all the energy conditions and maintains the hydrostatic equilibrium equation. This model represents compact stars like PSR B0943+10, Her X-1 and SAX J1808.4-3658 to a very good approximate.