New algorithms to obtain analytical solutions of Einsteins equations in isotropic coordinates


Abstract in English

The main objective of this work, is to show two inequivalent methods to obtain new spherical symmetric solutions of Einsteins 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.

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