2023/07/20 by Rinkal Patel, Patel, Rinkal, B. S. Ratanpal +3
Mathematics · Physics and Astronomy · #Ansatz #Applied mathematics #Black Holes and Theoretical Physics #Causality (physics) #Class (philosophy) #Classical mechanics #Compact space #Computer science #Cosmology and Gravitation Theories #Einstein field equations #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #Gravitation #Gravitational field #Mathematical analysis #Mathematical physics #Mathematics #Physics #Pulsars and Gravitational Waves Research #Pure mathematics #Quantum mechanics #Stability (learning theory) #Star (game theory) #Theoretical physics
paper · pdf · doi:10.48550/arxiv.2307.11111
published in arXiv (Cornell University) (Cornell University)
openalex publication_date 2023/07/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We present an entirely new class of solutions to Einstein's field equations that correspond to a static spherically symmetric anisotropic system by generalizing the Finch and Skea ansatz using the linear equation of state for the gravitational potential grr . Based on physical requirements, regularity condition, and stability, we make various assumptions about the model's parameters. The exact solution generates a plausible model of a compact star PSR J0348+0432 that satisfies all physical criteria. The requirements for a well-behaved compact star are met, including regularity, equilibrium, causality, stability, energy, and compactness limitations.