Minimally Deformed Anisotropic Solution of Compact Stars in Einstein Gauss Bonnet Gravity by Gravitational Decoupling

Abstract

In this thesis, two known anisotropic solutions named Tolman-Finch-skea and Tolman-IV are investigated under the extension of these solutions to anisotropic realm via their gravitational decoupling with external anisotropic sources. The radial metric potential is linearly transformed with the MGD approach while the temporal metric part remains unchanged. The system of Einstein-Gauss- Bonnet field equations converted into two systems of field equations i.e. one of them is against the standard Einstein energy momentum tensor and the other one is against the external gravitational source. The junction conditions at the inner and outer surfaces of stellar object are examined with Boulware-Deser 4D spacetime as the outer geometry. Furthermore, the mathematical terms of ther- modynamic properties such as total density ρtot, total radial pressure ptot r and total tangential pressure ptot t are calculated with the help of pressure mimic con- straint. The stellar model is physically analyzed by constructing the astrophys- ical parameters as energy conditions, Herrera’s cracking condition, causality condition, red shift and compactness. In this thesis, both solutions are repre- sented analytically and graphically.