标题： (2 + 1)维反德西特时空中的精确解，其状态方程为线性或非线性 显示英文标题

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

摘要： 在较低维度中的引力分析自Banados、Teitelboim和Zanelli（BTZ）（Phys. Rev. Lett. 69, 1849, 1992）证明了(2 + 1)维度中黑洞解的存在以来，已成为活跃的研究领域。BTZ度规激发了许多研究者开发和分析可以与外部BTZ度规匹配的圆形对称恒星模型。我们已经获得了两种新的(2 + 1)维度各向异性恒星在反德西特背景时空中的解，这些解是通过假设描述恒星物质组成的方程状态（EOS）可能是线性或非线性的来获得的。通过将内部解与无自旋的BTZ外部度规匹配，我们证明了此处提供的解在恒星内部是规则且行为良好的。 显示英文摘要

摘要： Gravitational analyzes in lower dimensions has become a field of active research 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 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.