Parametrized post-Newtonian limit of the Nieh-Yan modified teleparallel gravity

TL;DR

This paper analyzes a modified teleparallel gravity model incorporating the Nieh-Yan term, showing it aligns with general relativity in Solar System tests within the parametrized post-Newtonian framework.

Contribution

It demonstrates that the Nieh-Yan modified teleparallel gravity has the same post-Newtonian parameters as general relativity, ensuring compatibility with Solar System experiments.

Findings

All PPN parameters match those of GR.

The model is healthy and parity-violating.

Compatible with Solar System tests.

Abstract

The recently proposed Nieh-Yan modified teleparallel gravity is a parity-violating gravity model that modifies the general relativity equivalent teleparallel gravity by a Nieh-Yan term. This model is healthy and simple in form. In this paper, we consider the application of this model to the Solar System and investigate its slow-motion and weak-field approximation in terms of the parametrized post-Newtonian formalism. We find that all the post-Newtonian parameters of the model are the same as those of general relativity, which makes the model compatible with the Solar System experiments.