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Parameterized post-Newtonian limit of general teleparallel gravity theories by Ualikhanova, Ulbossyn; Hohmann, Manuel is a scholarly article available to read on EtoBox.

What is Parameterized post-Newtonian limit of general teleparallel gravity theories about?

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.

Author

Ualikhanova, Ulbossyn; Hohmann, Manuel

Published

2019

Language

EN