Constraints on BMS Transformations via Energy Conditions and implications on black hole geometry
By expanding curvature tensors and recasting classical energy conditions as inequalities on metric perturbations, this study demonstrates that enforcing the strong, weak, null, and dominant energy conditions on a Schwarzschild background imposes significant angular restrictions on BMS supertranslations, thereby substantially reducing the space of physically admissible transformations despite their formal infinite dimensionality.