Exact solutions in (2+1)-dimensional anti-de Sitter space-time admitting a linear or non-linear equation of state
Gravitational analyzes in lower dimensions has become a field of active research interest ever since Bañados, Teitelboim and Zanelli (BTZ) (Phys. Rev. Lett. 69:1849, 1992) proved the existence of a black hole solution in (2+1) dimensions. The BTZ metric has inspired many investigators to develop and analyze circularly symmetric stellar models which can be matched to the exterior BTZ metric. We have obtained two new classes of solutions for a (2+1)-dimensional anisotropic star in anti-de Sitter background space-time which have been obtained by assuming that the equation of state (EOS) describing the material composition of the star could either be linear or non-linear in nature. By matching the interior solution to the BTZ exterior metric with zero spin, we have demonstrated that the solutions provided here are regular and well-behaved at the stellar interior.
KeywordsStar solution (2+1)-Dimensional gravity
FR, KJ and RS would like to thank the Inter-University Centre for Astronomy and Astrophysics (IUCAA), Pune, India, for awarding Visiting Research Associateship. FR is grateful to UGC, Govt. of India, for financial support under its Research Award Scheme.