On the Regularization of Kerr-NUT spacetime: I

Details On the Regularization of Kerr-NUT spacetime: I On the Regularization of Kerr-NUT spacetime: I

2012-02-08

arxiv.org/abs/1202.2095v2

Prog. Theor. Phys. 127 (2012), 561-576

Physics

General Physics

10 pages, Latex (Will appear in Prog. Theor. Phys.)

Scientific paper

10.1143/PTP.127.561

Within the framework of teleparallel equivalent of general relativity (TEGR) theory, calculation of the total energy and momentum of Kerr-NUT spacetimes have been employed using two methods of the gravitational energy-momentum, which is coordinate independent, and the Riemannian connection 1-form, ${\widetilde{\Gamma}_\alpha}^\beta$. It has been shown that the two methods give the same an unacceptable result, i.e., divergent value. Therefore, a local Lorentz transformation that plays a role of a regularizing tool, which subtracts the inertial effects without distorting the true gravitational contribution, has been suggested. This transformation keeps the resulting spacetime to be a solution of the equations of motion of TEGR.

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