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arXiv · 1403.6937

Regularization of $f(T)$ gravity theories and local Lorentz transformation

G. G. L. Nashed
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Abstract

We regularized the field equations of $f(T)$ 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, the second matrix represents a proper tetrad field which is a solution to the field equations of $f(T)$ gravitational theory, (which are not invariant under LLT). This "general tetrad field" is then applied to the regularized field equations of $f(T)$. We show that the effect of the arbitrary function which is involved in the LLT invariably disappears.

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G. G. L. Nashed. 2015-07-18. Regularization of $f(T)$ gravity theories and local Lorentz transformation. https://doi.org/10.1155/2015%2F680457

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