Anisotropic solutions by gravitational decoupling
J. OvalleDepartamento de Física, Universidad Simón Bolívar, AP 89000, Caracas, 1080A, VenezuelaR. CasadioDipartimento di Fisica e Astronomia, Alma Mater Università di Bologna, Via Irnerio 46, 40126, Bologna, ItalyR. da RochaCentro de Matemática, Computação e Cognição, Universidade Federal do ABC (UFABC), Santo André, SP, 09210-580, BrazilA. SotomayorDepartamento de Matemáticas, Universidad de Antofagasta, Antofagasta, Chile
2018en
ABI
Abstract
We investigate the extension of isotropic interior solutions for static self-gravitating systems to include the effects of anisotropic spherically symmetric gravitational sources by means of the gravitational decoupling realised via the minimal geometric deformation approach. In particular, the matching conditions at the surface of the star with the outer Schwarzschild space-time are studied in great detail, and we describe how to generate, from a single physically acceptable isotropic solution, new families of anisotropic solutions whose physical acceptability is also inherited from their isotropic parent.
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Cited by 40 references