Perfect fluid spheres with cosmological constant

Abstract

We examine static perfect fluid spheres in the presence of a cosmological constant. New exact matter solutions are discussed which require the Nariai metric in the vacuum region. We generalize the Einstein static universe such that neither its energy density nor its pressure is constant throughout the spacetime. Using analytical techniques we derive conditions depending on the equation of state to locate the vanishing pressure surface. This surface can in general be located in regions with decreasing area group orbits. We use numerical methods to integrate the field equations for realistic equations of state and find consistent results.

15 pages, 6 figures; added new references, removed one figure, improved text, accepted for publication in PRD

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Cited by in corpus (15)

• Stability of the Einstein static Universe in $f(R,T)$ gravity
• General relativistic polytropes with a repulsive cosmological constant
• Einstein static universes are unstable in generic f(R) models
• The Einstein static universe in Scalar-Fluid theories
• Einstein Static Universe in Braneworld Scenario
• Emergent universe in Horava-Lifshitz-like F(R) gravity
• Holes in the static Einstein universe and the model of the cosmological voids
• Transforming the Einstein static Universe into physically acceptable static fluid spheres
• Induced Matter Brane Gravity and Einstein Static Universe
• Stability of Einstein Static Universe over Lyra Geometry
• Polytropic spheres modelling dark matter halos of dwarf galaxies
• Velocity and velocity bounds in static spherically symmetric metrics
• An exact static two-mass solution using Nariai spacetime
• Dark matter halos modeled by polytropic spheres influenced by the relict cosmological constant and trapping polytropes forming supermassive black holes
• The Tolman VII Space-time in the Presence of a Charge and a Cosmological Constant