PostNewtonian limit of generalized scalartorsion theories of gravity
Abstract
In this article we derive the postNewtonian limit of a class of teleparallel theories of gravity, where the action is a free function L (T ,X ,Y ,ϕ ) of the torsion scalar T and scalar quantities X and Y built from the dynamical scalar field ϕ . We restrict the analysis to a massless scalar field in order to use the parametrized postNewtonian formalism without modifications, such as introducing an effective gravitational constant which depends on the distance between the interacting masses. In particular the results show a class of fully conservative theories of gravity, where the only nonvanishing parameters are γ and β . For a particular choice of the function L (T ,X ,Y ,ϕ ) the theory cannot be distinguished from general relativity in its postNewtonian approximation.
 Publication:

Physical Review D
 Pub Date:
 January 2020
 DOI:
 10.1103/PhysRevD.101.024005
 arXiv:
 arXiv:1910.01023
 Bibcode:
 2020PhRvD.101b4005F
 Keywords:

 General Relativity and Quantum Cosmology;
 High Energy Physics  Theory
 EPrint:
 LaTeX, 10 pages, no figures