English

A class of interior solutions corresponding to a $(2+1)$ dimensional asymptotically anti-de Sitter spacetime

General Relativity and Quantum Cosmology 2011-09-21 v2

Abstract

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 Ban~\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)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.

Keywords

Cite

@article{arxiv.1108.4319,
  title  = {A class of interior solutions corresponding to a $(2+1)$ dimensional asymptotically anti-de Sitter spacetime},
  author = {Ranjan Sharma and Farook Rahaman and Indrani Karar},
  journal= {arXiv preprint arXiv:1108.4319},
  year   = {2011}
}

Comments

5 pages, 5 figures. Accepted for publication in Phys. Lett. B, some typos are corrected