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las Heras, Camilo; León, Pablo

Using MGD gravitational decoupling to extend the isotropic solutions of Einstein equations to the anisotropical domain. (English) Zbl 1535.83015

Fortschr. Phys. 66, No. 7, Article ID 1800036, 9 p. (2018).
Summary: 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.
© 2018 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim

Cited in 13 Documents

MSC:

83C15 Exact solutions to problems in general relativity and gravitational theory
83C20 Classes of solutions; algebraically special solutions, metrics with symmetries for problems in general relativity and gravitational theory
83C05 Einstein’s equations (general structure, canonical formalism, Cauchy problems)

Keywords:

analytical solutions; anisotropic distribution; gravitational decoupling
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