Speaker
Description
In recent years, there has been a growing interest in understanding the General Theory of Relativity (GTR) in several ways for the construction of stellar modeling. One of such modification is the inclusion of higher order curvature terms in the Lagrangian. By introducing a quadratic form of the Riemann tensor to the standard Einstein-Hilbert action Lovelock extended GTR in higher dimensions, which is known as the Einstein-Gauss-Bonnet (EGB) gravity. Even though the universe we live in is $4$-dimensions, investigations on the impacts of higher dimensional effects on space-time geometry and matter remains a fascinating field of research, in this paper, for a relativistic star in static equilibrium, we invoke the $5$ dimensional Einstein-Gauss-Bonnet gravity. The configuration is assumed to be filled with an anisotropic matter distribution that admits a linear equation of state (EOS). We make the EGB field equations tractable by introducing a particular coordinate transformation and closing the system with a single generating function. By specifying the generating function Z(x), we solve the system. We show that the solution is well-behaved and stable and the energy conditions are fulfilled. We fix the model parameters a and B of the solution by matching the interior solution to the exterior Boulware-Deser metric, which facilitates its physical analysis. A numerical study of the developed model helps us understand EGB gravity's effects on the
geometry of localized objects and gross physical features of the matter variables. In particular, our investigation brings to attention the role of the Gauss-Bonnet coupling parameter $\alpha$ in fine-tuning the values of the matter variables.
| soumik.astrophysics@gmail.com | |
| Affiliation | COOCH BEHAR PANCHANAN BARMA UNIVERSITY |
