On relevance of modified gravities
Abstract
It is shown that modified gravity theories with a Lagrangian composed of the three quadratic invariants of the Riemann curvature tensor are not appropriate. The field equations are either incompatible and/or irregular [like f(R)-gravities], or, if compatible, lead to the linear instability of polarizations relating to the Weyl tensor. A more relevant modification is the frame field theory, namely the best and unique variant of Absolute Parallelism; it has no free parameters (D=5 is a must) and no singularities arising in solutions. I sketch few remarkable features of this theory.
Keywords
Cite
@article{arxiv.0812.1344,
title = {On relevance of modified gravities},
author = {I. L. Zhogin},
journal= {arXiv preprint arXiv:0812.1344},
year = {2011}
}
Comments
Submitted to the Zelmanov Journal; 11 pages; improvements and new issues: (trivial) `weak' Lagrangian (term of N.Kh. Ibragimov) and classification of AP polarizations