Solar system constraints on f(T) gravity

By Lorenzo Iorio, Emmanuel N. Saridakis. 2012

239 citations recorded by the source corpus.

We use recent observations of Solar system orbital motions in order to constrain f(T) gravity. In particular, imposing a quadratic f(T) correction to the linear-in-T form, which is a good approximation for every realistic case, we extract the spherical solutions of the theory. Using these spherical solutions to describe the Sun's gravitational field, we use recently determined supplementary advances of planetary perihelia, to infer upper bounds on the allowed f(T) corrections. We find that the maximal allowed divergence of the gravitational potential in f(T) gravity from that in the teleparallel equivalent of General Relativity is of the order of 6.2 × 10−10, in the applicability region of our analysis. This is much smaller than the corresponding (significantly small too) divergence that is predicted from cosmological observations, as expected. Such a tiny allowed divergence from the linear form should be taken into account in f(T) model building.

Subfields: Astronomy and Astrophysics, Oceanography

View Paper: https://www.semanticscholar.org/paper/041440a1a2cd2d7b457c8863adc9a129247a7564

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Citations in the corpus

Structure formation in f(T) gravity and a solution for H0 tension (2018, background): “The observational data from various astronomical sources indicate that the f(T ) gravity is a viable alternative to the ΛCDM-cosmology [27–36], and moreover, it has been found to be consistent with the solar system constraints [37, 38] as well.”
f(T) teleparallel gravity and cosmology (2015, background): “This is the first order correction in every realistic f(T ) gravity, in which we expect αT 2 T [193, 477], since T (like R) is small in 8πG-units.”
f(R,T) Cosmological Models in Phase Space (2013, background): “[75] and references therein), where T in this theory is the torsion scalar arising from the torsion tensor in a similar way as the curvature scalar arises from the curvature tensor, and which is completely different from f(R, T ) gravity.”