Static solutions of Einstein's field equations for compact stellar objects

9th Biennial Conference on Classical and Quantum Relativistic Dynamics of Particles and Fields

Zubairi, Omair^1,2 ; Romero, Alexis^2 ; Weber, Fridolin^2,3

Computational Science Research Center, San Diego State University, 5500 Campanile Drive, San Diego

CA

92182, United States^1

Department of Physics, San Diego State University, 5500 Campanile Drive, San Diego

CA

92182, United States^2

Center for Astrophysics and Space Sciences, University of California, San Diego

CA

92093, United States^3

关键词: Cosmological constants;    Einstein's field equations;    Extreme conditions;    Isotropic pressure;    Mass distribution;    Spherical models;    Static solutions;    Stellar structure;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/615/1/012003/pdf
DOI  :  10.1088/1742-6596/615/1/012003

来源: IOP

【 摘 要 】

In this work, we present two solutions of Einstein's field equations for compact stellar objects such as quark or neutron stars. Due to their unique stellar properties, these compact objects pose as excellent laboratories to study matter in the most extreme conditions. In part one of this paper, we solve Einstein's field equations modified for a finite value for the cosmological constant for spherically symmetric mass distributions. This solution has been presented in the literature before, but with inconsistent results. In part two, we examine the structure of deformed (non-spherical) compact objects. The stellar structure equations are derived and solved for in the limiting case of isotropic pressure and energy-density. We calculate stellar properties such as masses and radii along with pressure and density profiles for these deformed objects and investigate changes from the standard spherical models.