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arXiv · 2112.06117

Parametrized post-Newtonian formalism in higher-order Teleparallel Gravity

Manuel Gonzalez-Espinoza·Giovanni Otalora·Lucila Kraiselburd·Susana Landau
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Abstract

We study the parametrized post-Newtonian (PPN) limit of higher-derivative-torsion Modified Teleparallel Gravity. We start from the covariant formulation of modified Teleparallel Gravity by restoring the spin connection of the theory. Then, we perform the post-Newtonian expansion of the tetrad field around the Minkowski background and find the perturbed field equations. We compute the PPN metric for the higher-order Teleparallel Gravity theories which allows us to show that at the post-Newtonian limit this more general class of theories are fully conservative and indistinguishable from General Relativity . In this way, we extend the results that were already found for $F(T)$ gravity in previous works. Furthermore, our calculations reveal the importance of considering a second post-Newtonian (2PN) order approximation or a parametrized post-Newtonian cosmology (PPNC) framework where additional perturbative modes coming from general modifications of Teleparallel Gravity could lead to new observable imprints.

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Manuel Gonzalez-Espinoza, Giovanni Otalora, Lucila Kraiselburd, Susana Landau. 2021-12-12. Parametrized post-Newtonian formalism in higher-order Teleparallel Gravity. https://doi.org/10.1088/1475-7516%2F2022%2F05%2F010

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