Post-Newtonian limit of generalized scalar-teleparallel theories of gravity

Abstract

We propose a general class of scalar-teleparallel theories, which are based on a scalar field which is coupled to a flat connection with torsion and nonmetricity, and study its post-Newtonian limit using the parametrized post-Newtonian formalism. We find that among this class there are theories whose post-Newtonian limit fully agrees with general relativity; for others only the parameters $\beta$ and $\gamma$ deviate from their general relativity values $\beta =\gamma =1$, while all other parameters remain the same, thus preserving total momentum conservation, local Lorentz invariance and local position invariance; finally, we also find theories whose post-Newtonian limit is pathological. Our main result is a full classification of the proposed theories into these different cases. We apply our findings to a number of simpler classes of theories and show that for these a subset of the aforementioned cases can be found.

19 pages, 4 figures; journal version

References in corpus (22)

• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• First M87 Event Horizon Telescope Results. I. The Shadow of the Supermassive Black Hole
• The Confrontation between General Relativity and Experiment
• In the Realm of the Hubble tension $-$ a Review of Solutions
• First Sagittarius A* Event Horizon Telescope Results. I. The Shadow of the Supermassive Black Hole in the Center of the Milky Way
• Horndeski theory and beyond: a review
• Recent Advances on Inflation
• Comparing Equivalent Gravities: common features and differences
• Post-Newtonian limit of generalized symmetric teleparallel gravity
• Perturbations in Non-Flat Cosmology for $f(T)$ gravity
• Non-trivial Minkowski backgrounds in f(T) gravity
• Homogeneous and isotropic cosmology in general teleparallel gravity
• Testing scalar-tensor theories and PPN parameters in Earth orbit
• Variational Principles in Teleparallel Gravity Theories
• Post-Newtonian parameter $\gamma$ for multiscalar-tensor gravity with a general potential
• Symmetric Teleparallel Horndeski Gravity
• Post-Newtonian limit of generalized scalar-torsion theories of gravity
• Teleparallel gravity
• The Parameterised Post-Newtonian Limit of Bimetric Theories of Gravity
• Post-Newtonian parameters $\gamma$ and $\beta$ of scalar-tensor gravity for a homogeneous gravitating sphere
• Irregular universe in the Nieh-Yan modified teleparallel gravity
• Gauge-invariant approach to the parametrized post-Newtonian formalism

Cited by in corpus (1)

• Revisiting Stability in New General Relativity