Abstract
We investigate perfect fluid stars in \((2+1)\) dimension in pseudo-spheroidal spacetime with the help of Vaidya-Tikekar metric where the physical 3-space (\(t= \mbox{constant}\)) is described by pseudo-spheroidal geometry. Here the spheroidicity parameter \(a\), plays an important role for determining the properties of a compact star. In the present work a class of interior solutions corresponding to the Bañados-Teitelboim-Zanelli (BTZ) (Bañados et al., Phys. Rev. Lett. 69:1849, 1992) exterior metric has been provided which describes a static circularly symmetric star with negative cosmological constant in equilibrium. It is shown that asymptotically anti-de Sitter \((2+1)\) dimensional spacetime described by BTZ admits a compact star solution with reasonable physical features.
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Acknowledgements
FR and SR thank the Inter-University Center for Astronomy and Astrophysics (IUCAA), Pune for providing the Associateship programme which has facilitated to start working on the problem. Also SR is thankful to the authority of The Institute of Mathematical Sciences, Chennai, India for providing Associateship under which a part of this work was carried out.
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Shee, D., Ghosh, S., Rahaman, F. et al. Compact star in pseudo-spheroidal spacetime. Astrophys Space Sci 362, 114 (2017). https://doi.org/10.1007/s10509-017-3089-9
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DOI: https://doi.org/10.1007/s10509-017-3089-9