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

TL;DR

This paper explores anisotropic compact star models with Finch-Skea symmetry incorporating exotic matter fields like BEC dark matter, Kalb-Ramond tensor fields, and gauge fields, analyzing their physical viability and matching conditions.

Contribution

It introduces new anisotropic stellar solutions with Finch-Skea symmetry in the presence of exotic matter fields and assesses their physical acceptability.

Findings

Most energy conditions are satisfied.

Solutions are physically acceptable and stable.

Matching with known vacuum solutions is successful.

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.