Anisotropic solutions by gravitational decoupling

By J. Ovalle, R. Casadio, R. Rocha, A. Sotomayor. 2017

270 citations recorded by the source corpus.

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.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/21daee982f1dfe453b1ab4d8218b8adc1fcc0ab0

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In Astronomy and Astrophysics

1. L. Gabbanelli
2. Carlos Rubio
3. Á. Rincón

In Nuclear and High Energy Physics

1. L. Gabbanelli
2. Carlos Rubio
3. Á. Rincón

Citations in the corpus

• Gravitational decoupled anisotropies in compact stars (2018, methodology): “e present article is to generalize anisotropic analogous solutions of a particular kind of isotropic compact objects by means of the so-called minimal geometric deformation approach (MGD hereinafter) [15,16]. This method was originally proposed in the context of the Randall{Sundrum braneworld [17,18”