Gravastar Solutions with Continuous Pressures and Equation of State

Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology

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

Scientific paper

10.1088/0264-9381/23/7/007

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.

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