Abstract
We generate a new generalized regular charged anisotropic exact model that admits conformal symmetry in static spherically symmetric spacetime. Our model was examined for physical acceptability as realistic stellar models. The regularity is not violated, the energy conditions are satisfied, the physical forces balanced at equilibrium, the stability is satisfied via adiabatic index, and the surface red shift and mass–radius ratio are within the required bounds. Our conformal charged anisotropic exact solution contains models generated by Finch–Skea, Vaidya–Tikekar and Schwarzschild. Also, some recent charged or neutral and anisotropic or isotropic conformally symmetric models are found as special cases of our exact model. Our approach using a conformal symmetry provides a generalized geometric framework for studying compact objects.
Highlights
It is important to investigate solutions to the Einstein– Maxwell field equations in order to describe physical properties and behaviour of different physical systems in relativistic astrophysics
The first exact solution to the Einstein field equations was given by Schwarzschild [1] in 1916, describing a compact stellar object with constant density in hydrostatic equilibrium
The conformal Killing vector provided a relationship between the gravitational potential functions which resulted in a new generalized solution
Summary
It is important to investigate solutions to the Einstein– Maxwell field equations in order to describe physical properties and behaviour of different physical systems in relativistic astrophysics. Models that include the effect of conformal Killing vector in finding exact solutions to the Einstein field equations were generated in [41,42,43,44]. Many of these models have singularities at the stellar centre. Spherical models that admit conformal Killing vector in static spacetime were generated by several researchers. Singh et al [48], and Shee et al [49] generated anisotropic exact solutions describing the interior of compact stars for spherically symmetric spacetimes that admit non-static conformal motion.
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