A novel probe of Einstein-Hilbert action: Dynamic upgradation of metric parameters

The Einstein-Hilbert (EH) action is peculiar in many ways. Some of the Peculiar features have already been highlighted literature. In present article, we discussed some EH which has not earlier. It well-known that there are several ways decomposing into bulk and surface part with different underlying motivations. We provide a review on all these decompositions. Then, attempt to study static coordinate as limiting case time-dependent via dynamic upgradation constant metric parameters. Firstly, consequences when parameters, spherically symmetric (SSS) metric, promoted time dependent variables, allows us incorporate time-dependence coordinate. find that, every sets decomposition, expression term remains invariant, whereas changes by total derivative term. Finally, obliterate dependence Ricci-scalar (or action) does go back its original value. Instead, curvature becomes singular horizon, implies topological change from spacetime.