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Using MGD Gravitational Decoupling to Extend the Isotropic Solutions of Einstein Equations to the Anisotropical Domain

2018/04/30 by C. Las Heras, P. León, P. Leon · 115 citations
Earth and Planetary Sciences · Engineering · Mathematics · Physics and Astronomy · #Applied mathematics #Black Holes and Theoretical Physics #Classical mechanics #Cosmology and Gravitation Theories #Decoupling (probability) #Domain (mathematical analysis) #Einstein #Engineering #Geophysics and Gravity Measurements #Gravitation #Isotropy #Mathematical analysis #Mathematics #Physics #Quantum mechanics #Thermodynamics #Work (physics) #gr-qc

paper · pdf · doi:10.1002/prop.201800036

published in Fortschritte der Physik 66(7) (Wiley) · 18 pages, 12 figures. Some references were added

openalex created_date 2018/04/24 · arxiv created 2018/05/16 · openalex publication_date 2018/06/26 · arxiv updated 2018/08/21 · openalex updated_date 2026/08/05

Abstract

Abstract The aim of this work is to obtain new analitical solutions for Einstein equations in the anisotropical domain. This will be done via the minimal geometric deformation (MGD) approach, that allow us to decouple the Einstein equations. It requires a perfect fluid known solution that we will choose to be Finch‐Skeas(FS) solution. Two different constraints were applied, and in each case we found an interval of values for the free parameters, where necesarly other physical solutions shall live.

Citations

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