Speaker
Bisweswar Sen
Description
We study aspects of black-hole spacetimes in the presence of dark-energy components, focusing on how the equation of state and associated curvature diagnostics constrain physically distinct regimes. Starting from the Schwarzschild geometry, we derive the Kretschmann scalar as a coordinate-invariant measure of curvature and use it to characterize the behavior near the horizon and at the central singularity. We then discuss how dark-energy motivated modifications can be incorporated and how they affect invariant quantities and horizon structure. Our results provide a compact set of analytic expressions and checks that are useful for comparing different dark-energy/black-hole models.
