Abstract
The main focus of this paper is to discuss the solutions of Einstein’s Field Equations (EFEs) for compact spherical objects study. To supply exact solution of the EFEs, we have considered the distribution of anisotropic matter governed by a new version of Chaplygin fluid equation of state (EoS). To determine different constants, we have represented the outer space-time by the Schwarzschild metric. Using the observed values of the mass for the various strange spherical object candidates, we have expanded anisotropic emphasize at the surface to forecast accurate radius estimates. Moreover, we implement various analysis to examine the physical acceptability and stability of our suggested stellar model viz., the energy conditions, cracking method, adiabatic index, etc. Graphical survey exhibits that the obtained stellar system fulfills the physical and mathematical prerequisites of the strange astrophysical object candidates Cyg X-2, Vela X-1, 4U 1636-536, 4U 1608-52, PSR J1903+327 to examine the various physical parameters and their effects on the anisotropic stellar model. The investigation reveals that complicated geometries arise from the interior matter distribution obeys a new version of Chaplygin fluid EoS and they are physically pertinent in the investigation of discovered compact structures.
Highlights
Due to the nowadays acknowledged existence of accelerating expansion of the Universe portrayed by dark energy (DE) through the strong negative pressure, the investigation of spherically symmetric solutions of the Einstein’s Field Equations (EFEs) [15,16] in presence of DE is of great importance
To supply exact solution of the EFEs, we have considered the distribution of anisotropic matter governed by a new version of Chaplygin fluid equation of state (EoS)
In order to close the system of EFEs (13)–(14), we assume that the interior matter distribution obeys a new version of Chaplygin fluid EoS as follow, pr = Hρα − Kρ−β wi t h 0 ≤ β ≤ 1 (17)
Summary
Due to the nowadays acknowledged existence of accelerating expansion of the Universe portrayed by dark energy (DE) through the strong negative pressure (for a review see [1,2,3,4,5,6,7,8,9,10,11,12,13,14] and references therein), the investigation of spherically symmetric solutions of the EFEs [15,16] in presence of DE is of great importance. There are several construct stellar models have done for compact celestial bodies with Chaplygin EoS In this connection, Bertolami and Páramos [66] have studied general features of a spherically symmetric object described through the generalized Chaplygin fluid EoS. Over the possibilities outcomes of obtaining high-density nuclear matter in earthbound research centers, FAIR in Germany, FRIB in USA, J-Parc in Japan and RAON in Korea sooner rather than later, the possible discoveries of gravitational waves from binary neutron star black holes (or binary neutron stars) are accepted to guarantee tests of the ultra-high density inside of compact spherical objects This shall unlock another window for studying compact stellar spherical systems, and allow us to better understand the uncertainties associated features of ultra-high-densities nuclear matter.
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