Parametrized postNewtonian limit of general teleparallel gravity theories
Abstract
We derive the postNewtonian 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 postNewtonian limit, we first impose the Weitzenböck gauge, and then introduce a postNewtonian 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 β and γ potentially deviating from their general relativity values. In particular, we find that the postNewtonian limit of any f (T ) theory is identical to that of general relativity, so that these theories cannot be distinguished by measurements of the postNewtonian parameters alone.
 Publication:

Physical Review D
 Pub Date:
 November 2019
 DOI:
 10.1103/PhysRevD.100.104011
 arXiv:
 arXiv:1907.08178
 Bibcode:
 2019PhRvD.100j4011U
 Keywords:

 General Relativity and Quantum Cosmology
 EPrint:
 LaTeX, 12 pages, no figures