Total Conserved Charges of Lense-Thirring Spacetime in Gravity Theory with Diffeomorphism and Local Lorentz Symmetry

The approach of invariant conserved currents generated by an arbitrary vector field which generates a diffeomorphism on the spacetime, in the context of gravitational theory with general coordinate transformation and local Lorentz symmetry has been employed. Three kinds of conserved charges are computed for four tetrads spacetime reproducing Lense-Thirring (LT) metric, which is an approximate solution of the Einstein field equations. Some tetrads give the well known charges and others give in addition to the anomalous charges a divergent quantity. Therefore, regularized expressions, i.e., new local Lorentz transformations are used to get the physical results. Subject Index: 105, 451, 453