Gravitational decoupled anisotropic solutions in $$f({\mathcal {G}})$$ f(G) gravity

Abstract In this paper, we investigate anisotropic static spherically symmetric solutions in the framework of $$f({\mathcal {G}})$$ f(G) gravity through gravitational decoupling approach. For this purpose, we consider Krori and Barua (known solution) isotropic interior solution for static sphericall...

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Bibliographic Details
Main Authors: M. Sharif, Saadia Saba
Format: Article
Language:English
Published: SpringerOpen 2018-11-01
Series:European Physical Journal C: Particles and Fields
Online Access:http://link.springer.com/article/10.1140/epjc/s10052-018-6406-8
Description
Summary:Abstract In this paper, we investigate anisotropic static spherically symmetric solutions in the framework of $$f({\mathcal {G}})$$ f(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.
ISSN:1434-6044
1434-6052