2022/02/16 by Krsna Dev, Dev, Krsna
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 #High Energy Physics - Theory (hep-th) #Relativity and Gravitational Theory #gr-qc #hep-th
paper · pdf · doi:10.48550/arxiv.2202.07819
arxiv created 2022/02/16 · openalex publication_date 2022/02/16 · arxiv updated 2022/02/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We study exact solutions of the Einstein-Maxwell equations for the interior gravitational field of static spherically symmetric charged compact spheres. The spheres are composed of a perfect fluid with a charge distribution that creates a static radial electric field. The inertial mass density of the fluid has the form ρ(r) = ρo + αr2 (ρo and α are constants) and the total charge q(r) within a sphere of radius r has the form q = βr3 (β is a constant). We evaluate the critical values of M/R for these spheres as a function of Q/R and compare these values with those given by the Andréasson formula.