Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2011-08-19
Phys.Lett.B704:1-4,2011
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
5 pages, 5 figures. Accepted for publication in Phys. Lett. B, some typos are corrected
Scientific paper
10.1016/j.physletb.2011.08.054
Lower dimensional gravity has the potential of providing non-trivial and valuable insight into some of the conceptual issues arising in four dimensional relativistic gravitational analysis. The asymptotically anti-de Sitter (2+1) dimensional spacetime described by Ba$\tilde{n}$ados, Teitelboim and Zanelli (BTZ) which admits a black hole solution, has become a source of fascination for theoretical physicists in recent years. By suitably choosing the form of the mass function $m(r)$, we derive a new class of solutions for the interior of an isotropic star corresponding to the exterior (2+1) asymptotically anti-de Sitter BTZ spacetime. The solution obtained satisfies all the regularity conditions and its simple analytical form helps us to study the physical parameters of the configuration in a simple manner.
Karar Indrani
Rahaman Farook
Sharma Ranjan
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