Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Constraining f(T) gravity in the Solar System   In the framework of $f(T)$ theories of gravity, we solve the field equations
for $f(T)=T+\alpha T^{n}$, in the weak-field approximation and for spherical
symmetry spacetime. Since $f(T)=T$ corresponds to Teleparallel Gravity, which
is equivalent to General Relativity, the non linearity of the Lagrangian are
expected to produce perturbations of the general relativistic solutions,
parameterized by $\alpha$. Hence, we use the $f(T)$ solutions to model the
gravitational field of the Sun, and exploit data from accurate tracking of
spacecrafts orbiting Mercury and Saturn to infer preliminary insights on what
could be obtained about the model parameter $\alpha$ and the cosmological
constant $\Lambda$. It turns out that improvements of about one-three orders
with respect to the present-day constraints in the literature of magnitude seem
possible.

30
The categories of this paper are: q-alg
23
The categories of this paper are: solv-int
11
The categories of this paper are: hep-lat
13
The categories of this paper are: quant-ph
4
The categories of this paper are: cond-mat
27
The categories of this paper are: comp-gas
25
The categories of this paper are: patt-sol
31
The categories of this paper are: ao-sci
26
The categories of this paper are: bayes-an
9
The categories of this paper are: nlin
22
The categories of this paper are: chao-dyn
33
The categories of this paper are: plasm-ph
2
The categories of this paper are: math
12
The categories of this paper are: nucl-th
20
The categories of this paper are: acc-phys
28
The categories of this paper are: alg-geom