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Gravitational analyzes in lower dimensions has become a field of activeresearch interest ever since Banados, 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 andanalyze circularly symmetric stellar models which can be matched to theexterior BTZ metric. We have obtained two new classes of solutions for a (2 +1)-dimensional anisotropic star in anti-de Sitter background space-time whichhave been obtained by assuming that the equation of state (EOS) describing thematerial composition of the star could either be linear or non-linear innature. By matching the interior solution to the BTZ exterior metric with zerospin, we have demonstrated that the solutions provided here are regular andwell-behaved at the stellar interior.

Exact solutions in (2 + 1)-dimensional anti-de Sitter space-time admitting a linear or non-linear equation of state