English

Gravitational Decoupled Anisotropic Solutions in $f(\mathcal{G})$ Gravity

General Relativity and Quantum Cosmology 2018-12-06 v1

Abstract

In this paper, we investigate anisotropic static spherically symmetric solutions in the framework of f(G)f(\mathcal{G}) gravity through gravitational decoupling approach. For this purpose, we consider Krori and Barua (known solution) isotropic interior solution for static spherically symmetric self-gravitating system and extend it to two types of anisotropic solutions. We examine the physical viability of our models through energy conditions, squared speed of sound and anisotropy parameter. It is found that the first solution is physically viable as it fulfills the energy bounds as well as stability criteria while the second solution satisfies all energy bounds but is unstable at the core of the compact star.

Keywords

Cite

@article{arxiv.1811.08112,
  title  = {Gravitational Decoupled Anisotropic Solutions in $f(\mathcal{G})$ Gravity},
  author = {M. Sharif and Saadia Saba},
  journal= {arXiv preprint arXiv:1811.08112},
  year   = {2018}
}

Comments

21 pages, 6 figures