A family of solutions to the Einstein-Maxwell system of equations describing relativistic charged fluid spheres

K. Komathiraj; Ranjan Sharma

doi:10.1007/s12043-018-1567-4

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arXiv · 1712.07999

A family of solutions to the Einstein-Maxwell system of equations describing relativistic charged fluid spheres

K. Komathiraj·Ranjan Sharma

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Abstract

In this paper, we present a formalism to generate a family of interior solutions to the Einstein-Maxwell system of equations for a spherically symmetric relativistic charged fluid sphere matched to the exterior Reissner-Nordström spacetime. By reducing the Einstein-Maxwell system to a recurrence relation with variable rational coefficients, we show that it is possible to obtain closed-form solutions for a specific range of the model parameters. A large class of solutions obtained previously are shown to be contained in our general class of solutions. We also analyze the physical viability of our new class of solutions.

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K. Komathiraj, Ranjan Sharma. 2017-12-20. A family of solutions to the Einstein-Maxwell system of equations describing relativistic charged fluid spheres. https://doi.org/10.1007/s12043-018-1567-4

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