arXiv Analytics

Sign in

arXiv:1907.08178 [gr-qc]AbstractReferencesReviewsResources

Parameterized post-Newtonian limit of general teleparallel gravity theories

Ulbossyn Ualikhanova, Manuel Hohmann

Published 2019-07-18Version 1

We derive the post-Newtonian limit of a general class of teleparallel gravity theories, whose action is given by a free function of three scalar quantities obtained from the torsion of the teleparallel connection. This class of theories is chosen to be sufficiently generic in order to include the $f(T)$ class of theories as well as new general relativity as subclasses. To derive its post-Newtonian limit, we first impose the Weitzenb\"ock gauge, and then introduce a post-Newtonian approximation of the tetrad field around a Minkowski background solution. Our results show that the class of theories we consider is fully conservative, with only the parameters $\beta$ and $\gamma$ potentially deviating from their general relativity values. In particular, we find that the post-Newtonian limit of any $f(T)$ theory is identical to that of general relativity, so that these theories cannot be distinguished by measurements of the post-Newtonian parameters alone.

Related articles: Most relevant | Search more
arXiv:gr-qc/9508025 (Published 1995-08-09)
Estimation of parameters of gravitational waves from coalescing binaries
arXiv:1506.04253 [gr-qc] (Published 2015-06-13)
Parameterized post-Newtonian limit of Horndeski's gravity theory
arXiv:gr-qc/9404011 (Published 1994-04-07)
The fate of black hole singularities and the parameters of the standard models of particle physics and cosmology