Compact stars admitting Finch-Skea symmetry in the presence of various matter fields*

Abstract

In the present article authors investigate the anisotropic stellar solutions admitting Finch-Skea symmetry (viable and non-singular metric potentials) in the presence of some exotic matter fields, such as: Bose-Einstein Condensate (BEC) dark matter, Kalb-Ramond fully anisotropic rank-2 tensor field from the low-energy string theory effective action, gauge field imposing $U(1)$ symmetry. Interior spacetime is matched with both Schwarzchild and Reissner-N"ordstrom vacuum spacetimes for BEC, KB and gauge fields respectively. Further, we have studied energy conditions, Equation of State (EoS), radial derivatives of energy density and anisotropic pressures, Tolman-Oppenheimer-Volkoff equilibrium condition, relativistic adiabatic index, sound speed and surface redshift. Most of the aforementioned conditions were satisfied and therefore solutions derived in the current study lie in the physically acceptable regime.

Relativistic polytropic models of charged anisotropic compact objects

“…The consequences of static and spherically symmetric anisotropic charged Bardeen spheres were reviewed using the Finch-Skea ansatz under the Karmarkar condition [108]. In some recent studies [75,[109][110][111], several classes of exact solutions for anisotropic uncharged Finch-Skea models have been proposed by adopting different mathematical approaches with the observational data of various wellknown COs. In comparison with the results of these approaches, our results are quite novel and specifically more generic, owing to the generalized polytropic EoS [107].…”

“…In particular, the Finch-Skea model, as an interior spacetime, has manifested several viable features with an exterior solution of the Bardeen black hole, corresponding to the magnetic monopole of gravitationally collapsing remnants [108,115,116]. Moreover, it has successfully been employed to support the observational constraints of various types of astrophysical compact stars under various physical conditions [75,109,110]. Apart from these outcomes, most of the recent studies related to the Finch-Skea geometry have revealed stellar relativistic astrophysical implications with contributions from the Adler and Buchdahl spacetimes [31,100,108,[115][116][117].…”