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

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 Banados, 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. (C) 2011 Elsevier B.V. All rights reserved.