The Tolman-Oppenheimer Equations and the Spacetime Properties of the Schwarzschild-De Sitter Constant Density Interior Solution
Abstract
In this paper, we first deduce the Tolman-Oppenheimer-Volkoff (TOV) equations and Schwarzschild-de Sitter (SdS) constant-density interior solutions of perfect fluid spheres in hydrostatic equilibrium by the Einstein equations with a nonzero cosmological constant. The TOV equations and the spacetime properties of exact solutions inside uniform perfect fluid spheres with different spatial curvature and cosmological constants will be respectively analyzed in detail. Moreover, a brief comparison between the internal static solutions of the SdS type and the dynamical Einstein-Strauss-de Sitter (ESdS) vacuole spacetime is obtained.
- Publication:
-
International Journal of Modern Physics D
- Pub Date:
- November 2014
- DOI:
- 10.1142/S0218271814500163
- Bibcode:
- 2014IJMPD..2350016Z
- Keywords:
-
- TOV equations;
- SdS interior solutions;
- spatial curvature;
- cosmological constant;
- 04.20.Ex;
- 04.20.Jb;
- Initial value problem existence and uniqueness of solutions;
- Exact solutions