https://doi.org/10.1140/epjc/s10052-023-11646-0
Regular Article - Theoretical Physics
Relativistic modeling of stellar objects in a Schwarzschild’s coordinates with embedded class one spacetime
1
Department of Mathematics, Usha Martin University, 835222, Ranchi, India
2
Department of Mathematics, Central University of Jharkhand, Cheri-Manatu, 835222, Ranchi, India
3
Department of Mathematics, Central University of Haryana, Jant Pali, 123031, Mahendragarh, India
Received:
2
April
2023
Accepted:
21
May
2023
Published online:
7
June
2023
In this study, we investigate a new relativistic anisotropic Einstein field equations solution for compact stars under embedding class 1 conditions. In order to do this, we apply the Karmarkar condition and the embedding class one technique. By taking Buchdahl type metric potential 
into consideration, the precise analytical solution has been investigated. We have studied physical characteristics of various compact star using this analytical solution. Central singularities are absent from the solution. We have explored thermodynamic observables inside the stellar models, such as radial and tangential pressures, matter density, anisotropic factor, energy conditions, TOV, red-shift, and the speed of sound, etc., after establishing this space-time geometry for the stellar models. From the graphical representation of various physical characteristics, it is demonstrated that our model meets all the specification for ultra-high density compact bodies.
© This is a U.S. Government work and not under copyright protection in the US; foreign copyright protection may apply 2023
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