Abstract:
In this work, we introduce a formal framework to derive interior solutions for the
Einstein Maxwell system, describing the configuration of a relativistic charged fluid
sphere within the context of spherically symmetric gravitational fields, which are
matched to the exterior Reissner-Nordstrom space–time. Building upon previous
methodologies, particularly the innovative approach by Komathiraj and Sharma (2018),
we refine the process by reducing the system to a recurrence relation with variable
rational coefficients. This enables us to obtain a solution in terms of an infinite series.
We demonstrate that it is possible to closed form solutions within a specific range of
model parameters. By imposing constraints on these parameters, we simplify the
solutions to express them in terms of elementary functions, enhancing their accessibility
and interpretability. The streamlined approach involves deriving solutions through
series analysis and solving resulting difference equations, ultimately yielding
expressions in the form of polynomials and products involving algebraic functions. Our
study thus presents a comprehensive set of general solutions, offering insights into the
behavior of charged fluid spheres in relativistic gravitational environments.
