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Advances in High Energy Physics
Volume 2015 (2015), Article ID 680457, 8 pages
http://dx.doi.org/10.1155/2015/680457
Research Article

Regularization of Gravity Theories and Local Lorentz Transformation

1Centre for Theoretical Physics, The British University in Egypt, P.O. Box 43, Sherouk City 11837, Egypt
2Mathematics Department, Faculty of Science, Ain Shams University, Cairo 11566, Egypt

Received 31 October 2014; Revised 21 December 2014; Accepted 8 January 2015

Academic Editor: Rong-Gen Cai

Copyright © 2015 Gamal G. L. Nashed. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. The publication of this article was funded by SCOAP3.

Abstract

We regularized the field equations of gravity theories such that the effect of local Lorentz transformation (LLT), in the case of spherical symmetry, is removed. A “general tetrad field,” with an arbitrary function of radial coordinate preserving spherical symmetry, is provided. We split that tetrad field into two matrices; the first represents a LLT, which contains an arbitrary function, and the second matrix represents a proper tetrad field which is a solution to the field equations of gravitational theory (which are not invariant under LLT). This “general tetrad field” is then applied to the regularized field equations of . We show that the effect of the arbitrary function which is involved in the LLT invariably disappears.