Solar System Tests in Modified Teleparallel Gravity

TL;DR

This paper investigates Solar System tests within a modified teleparallel gravity framework based on an arbitrary function of torsion and boundary terms, deriving solutions and comparing predictions with experiments to constrain the models.

Contribution

It introduces new spherically symmetric solutions in $f(T,B)$ gravity and tests their compatibility with Solar System experiments, expanding the understanding of such theories.

Findings

$f(T,B)$ models are compatible with Solar System tests for a wide parameter range.

Derived new perturbed spherically symmetric solutions around Schwarzschild.

Confronted theoretical predictions with experiments like perihelion shift and light deflection.

Abstract

In this paper, we study different Solar System tests in a modified Teleparallel gravity theory based on an arbitrary function $f(T,B)$ which depends on the scalar torsion $T$ and the boundary term $B$. To do this, we first find new perturbed spherically symmetric solutions around Schwarzschild for different power-law forms of the arbitrary Lagrangian. Then, for each model we calculated the photon sphere, perihelion shift, deflection of light, Cassini experiment, Shapiro delay and the gravitational redshift. Finally, we confront these computations with different known experiments from these Solar System tests to put different bounds on the mentioned models. We then conclude that $f(T,B)$ is compatible with these Solar System experiments with a wide range of parameters which are relevant for cosmology.