On the Tolman-Oppenheimer-Volkoff-de Sitter equation

Abstract

Spherically symmetric static solutions of the Einstein equations with a positive cosmological constant for the energy-momentum tensor of a barotropic perfect fluid are governed by the Tolman-Oppenheimer-Volkoff-de Sitter equation. Existence and regularity at the vacuum boundary of the solutions with finite radii are investigated. The interior metric of the solution is connected with the Schwarzschild-de Sitter metric on the vacuum region.

Typos corrected

References in corpus (1)

• General Relativistic Static Fluid Solutions with Cosmological Constant

Cited by in corpus (3)

• A complete cosmological scenario from $f(R,T^{\phi })$ gravity theory
• An Application of the Nash-Moser Theorem to the Vacuum Boundary Problem of Gaseous Stars
• On spherically symmetric solutions of the Einstein-Euler-de Sitter equations