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 + α T n , where α is a constant and | n | ≠ 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 α for n = 2 , 3 by using data available from literature.