Compact Relativistic Stars under Karmarkar Condition

2020/07/10 by B. S. Ratanpal, Ratanpal, B. S., V. O Thomas +3
Earth and Planetary Sciences · Physics and Astronomy · #Cosmology and Gravitation Theories #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #Geophysics and Gravity Measurements #Pulsars and Gravitational Waves Research

paper · pdf · doi:10.48550/arxiv.2007.05182

openalex publication_date 2020/07/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

A class of new solutions for Einstein's field equations, by choosing the ansatz e^λ(r)=\frac1+ar²1+br² for metric potential, are obtained under Karmarkar condition. It is found that a number of pulsars like 4U 1820-30, PSR J1903+327, 4U 1608-52, Vela X-1, PSR J1614-2230, Cen X-3 can be accomodated in this model. We have displayed the nature of physical parameters and energy conditions throughout the distribution using numerical and graphical methods for a particular pulsar 4U 1820-30 and found that the solution satisfies all physical requirements.

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