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UPA Perpustakaan Universitas Jember

Compact star in pseudo-spheroidal spacetime

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We investigate perfect fluid stars in (2 + 1) di-
mension in pseudo-spheroidal spacetime with the help of
Vaidya-Tikekar metric where the physical 3-space (t =
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 neg-
ative 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 rea-
sonable physical features.

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