Anisotropic solutions by gravitational decoupling
General Relativity and Quantum Cosmology
2018-02-13 v4
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 star surface with the outer Schwarzschild space-time are studied in great details, 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.
Keywords
Cite
@article{arxiv.1708.00407,
title = {Anisotropic solutions by gravitational decoupling},
author = {J Ovalle and R Casadio and R da Rocha and A Sotomayor},
journal= {arXiv preprint arXiv:1708.00407},
year = {2018}
}
Comments
20 pages, 4 figures; references and typos corrected; final version to match the EPJC version