Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Solar System tests in $f(T)$ gravity   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 $|n|
\neq 1$. 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.

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The categories of this paper are: dg-ga
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The categories of this paper are: q-alg
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The categories of this paper are: astro-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: comp-gas
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The categories of this paper are: stat
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The categories of this paper are: funct-an
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The categories of this paper are: nucl-ex
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The categories of this paper are: bayes-an
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The categories of this paper are: quant-ph
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The categories of this paper are: hep-th
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The categories of this paper are: nlin
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The categories of this paper are: atom-ph
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The categories of this paper are: chao-dyn
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The categories of this paper are: hep-ex
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The categories of this paper are: cmp-lg