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

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.

Model for anisotropic compact stars via Chaplygin equation of state in Tolman space-time

“…It should be at its highest point in the centre and gradually decreases toward the edge of compact items as it moves away from the centre. Transverse pressure (p t ) and energy density (ρ) are both positive at the surface [25,[58][59][60][61][62][63], whereas radial pressure (p r ) disappears at the boundary.…”

“…To characterised the internal structure of the star system, it is necessary to use the solution of the non-linear field equations. In order to explain diverse anisotropic models [19][20][21][22][23][24][25], the equation of state (EOS) technique has used quadratic, polytropic, Chaplygin, linear, and a variety of other relations. For the examination of the physical behaviour of compact objects, the EoS approach is highly helpful.…”

“…By solving Einstein's field equations, a significant number of exact models have been generated by Malaver and Kasmaei [33], Prasad et al [25], P Bhar et al [34][35][36], etc assuming Chaplygin equation of state for dark energy or dark matter. An anisotropic matter distribution was taken into account by Errehymy and Daoud [37] using a new iteration of the modified Chaplygin fluid equation of state that is dependent on the two parameters α and β.…”

A Generalized Double Chaplygin Model for Anisotropic Matter: The Newtonian Case

“…In this respect, the generalized Chaplygin equation of state (EOS) can be a useful tool for incorporating new theories, such as the dark fluid model and dark energy stars (as we previously said). These theories introduce an additional repulsive force to the compact star model, which can enhance its stability [36]. It is also crucial to note that there exist various constraints on the parameter space of the equation of state (EoS), including those derived from a cosmological perspective using astronomical data [37].…”