Speaker
Description
In this talk, I will begin by providing an overview and substantiation of EGB theory. Then I will explore two critical features of modified gravitational systems: curvature singularities and mass gaps. Investigations into these features are central to our understanding of the structure and stability of compact objects in higher-dimensional gravity settings and for comparisons to classical GR. We first look at N-dimensional cosmology within the perfect fluid EGB framework, investigating the nature of singularities and the evolution of the Universe under nonstandard conditions. Using a transformation, we show that no curvature singularity is possible. Further, we provide a geometrical explanation for the mass gap phenomenon in 5D EGB black holes via spacetime decomposition. We show for self-similar radiation collapse, the central singularity is not a sink for timelike geodesics and is extendable. These studies clearly demonstrate how the Gauss-Bonnet invariant affects the nature of the final state of collapse in this modified theory.
