Compact star in pseudo-spheroidal spacetime

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 = 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 (BT Z) (Baados et al., Phys. Rev. Lett. 69:1849Lett. 69: , 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.

Anisotropic strange star with Tolman–Kuchowicz metric under f(R, T) gravity

“…Their finite value at the center of the star makes it a singularity free model of strange star. The graphical variation of the pressures clearly indicate that at the surface, effective radial pressure vanishes prominently whereas effective tangential pressure retain a finite value which make the shape of the star spheroidal in nature [107,111,112]. The origin of this spheroidicity makes it a topic of future research.…”

“…According to Kippenhahn and Weigert [88], the anisotropy may arise due to presence of a type 3A superfluid or existence of solid stellar core. The literature survey regarding anisotropic fluid sphere are provided in the following references [89][90][91][92][93][94][95][96][97][98][100][101][102][103][104][105][106][107]163].…”

Relativistic strange stars in Tolman–Kuchowicz spacetime

“…From Fig. 2 we can see that radial pressure vanishes at the boundary of stars but tangential pressure dose not vanishes sharply at the surface of the star which indicate the spheroidal nature of the strange stars [81,82,74].…”

“…Also the strong electric field produces the effect of anisotropy, as suggested by Usov [58]. The interior gravitational fields of anisotropic fluid spheres can be described properly by exact solutions of the EFE as shown in following references [59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74].…”

Influence of $$f\,(R)$$ f ( R ) models on the existence of anisotropic self-gravitating systems

“…The investigation of ECs in modified theories has been carried out regarding a variety of cosmological issues like, f (R) gravity [75], f (R, L m ) gravity [76], f (R, T ) gravity [77], f (R, G) gravity [78], and f (G) gravity [79,80]. The stability of compact objects and their ECs have been analyzed in detail by various researchers [81][82][83][84].…”