Maximum Mass-Radius Ratio for Compact General Relativistic Objects in Schwarzschild- de Sitter Geometry

TL;DR

This paper derives upper bounds on the mass-radius ratio and related physical properties of compact objects within Schwarzschild-de Sitter spacetime, considering the influence of a cosmological constant.

Contribution

It introduces new theoretical limits on mass-radius ratios and redshift for compact objects in the presence of a cosmological constant, extending classical results.

Findings

Derived maximum mass-radius ratio bounds for compact objects

Established restrictions on redshift and total energy including gravitational effects

Analyzed the influence of the cosmological constant on compact object properties

Abstract

Upper limits for the mass-radius ratio are derived for arbitrary general relativistic matter distributions in the presence of a cosmological constant. General restrictions for the red shift and total energy (including the gravitational contribution) for compact objects in the Schwarzschild-de Sitter geometry are also obtained in terms of the cosmological constant and of the mean density of the star.