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New algorithms to obtain analytical solutions of Einstein's equations in isotropic coordinates

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arxiv 1905.02380 v3 pith:VYXXIJDM submitted 2019-05-07 gr-qc

C. Las Heras , P. León This is my paper · ORCID
classification gr-qc
keywords solutionscoordinatesanalyticaleinsteinequationsfourisotropicobtain
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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.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Minimal Geometric Deformation in a Reissner-Nordstr\"om background

    gr-qc 2019-09 conditional novelty 4.0 of 10

    New exact Reissner-Nordström black hole solutions are built via minimal geometric deformation with a linear equation of state in the added source.

  2. Anisotropic neutron stars by gravitational decoupling

    gr-qc 2019-08 conditional novelty 3.0 of 10

    Starting from a known perfect-fluid neutron star model, the paper constructs anisotropic versions via minimal geometric deformation and finds that the least compact models (SAX J1808.4-3658 and Her X-1) are the most stable.

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