Gravastar Solutions with Continuous Pressures and Equation of State

Abstract

We study the gravitational vacuum star (gravastar) configuration as proposed by other authors in a model where the interior de Sitter spacetime segment is continuously extended to the exterior Schwarzschild spacetime. The multilayered structure in previous papers is replaced by a continuous stress-energy tensor at the price of introducing anisotropy in the (fluid) model of the gravastar. Either with an ansatz for the equation of state connecting the radial $p_r$ and tangential $p_t$ pressure or with a calculated equation of state with non-homogeneous energy/fluid density, solutions are obtained which in all aspects satisfy the conditions expected for an anisotropic gravastar. Certain energy conditions have been shown to be obeyed and a polytropic equation of state has been derived. Stability of the solution with respect to possible axial perturbation is shown to hold.

19 pages, 9 figures. Latest version contains new and updated references along with some clarifying remarks in the stability analysis

References in corpus (15)

• Gravitational Vacuum Condensate Stars
• Anisotropic Stars in General Relativity
• Stable gravastars - an alternative to black holes?
• Maximum bounds on the surface redshift of anisotropic stars
• Gravastars must have anisotropic pressures
• Stable dark energy stars
• Spherically symmetric dissipative anisotropic fluids: A general study
• Spherically symmetric space-time with the regular de Sitter center
• Stable gravastars with generalised exteriors
• Quantum Phase Transitions and the Breakdown of Classical General Relativity
• Stability of a vacuum nonsingular black hole
• Nonlocal Equation of State in Anisotropic Static Fluid Spheres in General Relativity
• Anisotropic relativistic stellar models
• New anisotropic models from isotropic solutions
• A non-singular black hole model as a possible end-product of gravitational collapse

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