Solar System tests in $f(T)$ gravity

Abstract

We investigate the four solar system tests of gravity - perihelion precession, light bending, Shapiro time delay, gravitational redshift - in $f(T)$ gravity. In particular, we investigate the solution derived by Ruggiero and Radicella, Phys. Rev. D 91, 104014 (2015), for a nondiagonal vierbein field for a polynomial $f(T)=T+\alpha T^n$, where $\alpha$ is a constant and $|n|\ne 1$. In this paper, we derive the solutions for each test, in which Weinberg's, Bodenner and Will's, Cattani et al. and Rindler and Ishak's methods are applied, Gravitation and Cosmology: Principles and Applications of the General Theory of Relativity (Wiley, New York, 1972); Am. J. Phys. 71 (2003); Phys. Rev. D 87, 047503 (2013); Phys. Rev. D 76, 043006 (2007). We set a constraint on alpha for $n$ = 2, 3 by using data available from literature.

16 pages, 1 figure

References in corpus (20)

• Extended Theories of Gravity and their Cosmological and Astrophysical Applications
• The teleparallel equivalent of general relativity
• On Born-Infeld Gravity in Weitzenbock spacetime
• f(T) gravity mimicking dynamical dark energy. Background and perturbation analysis
• Good and bad tetrads in f(T) gravity
• Solar system constraints on f(T) gravity
• Observational information for f(T) theories and Dark Torsion
• The Contribution of the Cosmological Constant to the Relativistic Bending of Light Revisited
• Static Solutions with Spherical Symmetry in f(T) Theories
• Solar system effects in Schwarzschild--de Sitter spacetime
• Exact charged black-hole solutions in D-dimensional f(T) gravity: torsion vs curvature analysis
• Weak-Field Spherically Symmetric Solutions in $f(T)$ gravity
• Model-Independent Distance Measurements from Gamma-Ray Bursts and Constraints on Dark Energy
• A special exact spherically symmetric solution in f(T) gravity theories
• Conformal Weyl gravity and perihelion precession
• FRW in quadratic form of $f(T)$ gravitational theories
• Stationary Axisymmetric Solutions and their Energy Contents in Teleparallel Equivalent of Einstein Theory
• A type of Born-Infeld regular gravity and its cosmological consequences
• Kerr geometry in f(T) gravity
• Light Deflection, Lensing, and Time Delays from Gravitational Potentials and Fermat's Principle in the Presence of a Cosmological Constant

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