DOI: 10.3390/universe11020033 ISSN: 2218-1997

Anisotropic Compact Stars in General Relativity: An Exact Self-Bound Analytical Solution for Stellar Systems

Sunil Kumar Maurya, Ghulam Mustafa, Faisal Javed, Saibal Ray, Assmaa Abd-Elmonem, Neissrien Alhubieshi

In the present work, we investigate anisotropic compact stars under the general relativistic platform. Following a novel technique, we found an exact self-bound analytical stellar solution. The obtained solution was matched on the spherical surface of the boundary to the Schwarzschild metric in order to find the expressions of the constants involved in the neutral system. We conducted various critical investigations such as on the variations in pressures, density, energy conditions, pressure–density ratios, the velocity of sounds, and gravitational potentials within stellar objects. We also conducted a stability analysis of the models using the cracking concepts and the adiabatic index. The values of the constant parameters were taken corresponding to the secondary components of GW190814 to validate the physical viability of our solution. This study provides fruitful results that are physically viable and, hence, satisfactory.

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