Transforming the Einstein static Universe into physically acceptable static fluid spheres

Abstract

The staid subject of exact static spherically symmetric perfect fluid solutions of Einstein's equations has been reinvigorated in the last decade. We now have several solution generating techniques which give rise to new exact solutions. Here the Einstein static Universe is transformed into a physically acceptable solution the properties of which are examined in detail. The emphasis here is on the importance of the integration constants that these generating techniques introduce.

4 pages two improved figures. To appear in Phys. Rev. D

References in corpus (11)

• Physical Acceptability of Isolated, Static, Spherically Symmetric, Perfect Fluid Solutions of Einstein's Equations
• All static spherically symmetric perfect fluid solutions of Einstein's Equations
• Generating perfect fluid spheres in general relativity
• Spacetime geometry of static fluid spheres
• Algorithmic construction of static perfect fluid spheres
• Solution generating theorems for the TOV equation
• Buchdahl-like transformations for perfect fluid spheres
• Perfect fluid spheres with cosmological constant
• Some exact solutions in general relativity
• Solution generating theorems for perfect fluid spheres
• Solution generating theorems: perfect fluid spheres and the TOV equation

Cited by in corpus (15)

• Stability of the Einstein static Universe in $f(R,T)$ gravity
• Einstein static universes are unstable in generic f(R) models
• Isotropic stars in general relativity
• Generating static spherically symmetric anisotropic solutions of Einstein's equations from isotropic Newtonian solutions
• Some static spherically symmetric interior solutions of $f(R)$ gravity
• The Einstein static universe in Scalar-Fluid theories
• Einstein Static Universe in Braneworld Scenario
• Emergent universe in Horava-Lifshitz-like F(R) gravity
• Modelling anisotropic fluid spheres in general relativity
• Holes in the static Einstein universe and the model of the cosmological voids
• Induced Matter Brane Gravity and Einstein Static Universe
• Stability of Einstein Static Universe over Lyra Geometry
• Generating Static Fluid Spheres by Conformal Transformations
• Transforming the Einstein static Universe into physically acceptable static fluid spheres II: A two - fold infinity of exact solutions
• The spacetime geodesy of perfect fluid spheres