On conserved quantities for the Schwarzschild black hole in teleparallel gravity

Abstract We examine various methods of constructing conserved quantities in the Teleparallel Equivalent General Relativity (TEGR). demonstrate that covariant formulation preferred method are Noether charges true invariant quantities. The depend on vector field $$\xi $$ ξ and we consider two different options where is chosen as either a Killing or four-velocity observer. discuss physical meaning each choice example Schwarzschild solution frames: static, freely falling Lemaitre frame, newly obtained generalised frame with an arbitrary initial velocity. also how to determine inertial spin connection for tetrads used our calculations, find certain ambiguity “switching-off” gravity can share same connection.