Regular Article - Theoretical Physics
New algorithms to obtain analytical solutions of Einstein’s equations in isotropic coordinates
Departamento de Física, Universidad de Antofagasta, Antofagasta, Chile
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Accepted: 23 November 2019
Published online: 6 December 2019
The main objective of this work, is to show two inequivalent methods to obtain new spherical symmetric solutions of Einstein’s Equations with anisotropy in the pressures in isotropic coordinates. This was done inspired by the MGD method, which is known to be valid for line elements in Schwarzschild coordinates. As example, we obtained four analytical solutions using Gold III as seed solution. Two solutions, out of four, (one for each algorithm), satisfy the physical acceptability conditions.
© The Author(s), 2019