Polytropic stars in three-dimensional spacetime

Abstract

We investigate three-dimensional perfect fluid stars with polytropic equation of state, matched to the exterior three-dimensional black hole geometry of Banados, Teitelboim and Zanelli. A new class of exact solutions for a generic polytropic index is found and analysed.

3 pages, revtex

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Cited by in corpus (15)

• Exact power series solutions of the structure equations of the general relativistic isotropic fluid stars with linear barotropic and polytropic equations of state
• Curvature Invariants and Lower Dimensional Black Hole Horizons
• A class of interior solutions corresponding to a $(2+1)$ dimensional asymptotically anti-de Sitter spacetime
• (N+1)-dimensional Lorentzian evolving wormholes supported by polytropic matter
• Anisotropic Generalized Polytropic Spheres: Regular 3D Black Holes
• Thin shells in (2+1)-dimensional F(R) gravity
• Compact star in pseudo-spheroidal spacetime
• Static circularly symmetric perfect fluid solutions with an exterior BTZ metric
• Exact solutions in (2 + 1)-dimensional anti-de Sitter space-time admitting a linear or non-linear equation of state
• Rigidly rotating perfect fluid stars in $2+1$ dimensions
• Rotating Boson Star with Large Self-interaction in (2+1) dimensions
• Gravitational collapse of a circularly symmetric star
• Charged star in (2+1)-dimensional gravity
• Spinor solutions of a Chern-Simons model for the superconformal algebra
• Analytic approach to the formation of a three-dimensional black string from a dust cloud