Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Teleparallel theories of gravity as analogue of non-linear
  electrodynamics   The teleparallel formulation of gravity theories reveals close structural
analogies to electrodynamics, which are more hidden in their usual formulation
in terms of the curvature of spacetime. We show how every locally Lorentz
invariant teleparallel theory of gravity with second order field equations can
be understood as built from a gravitational field strength and excitation
tensor which are related to each other by a constitutive relation, analogous to
the axiomatic construction of theories of electrodynamics. We demonstrate how
the previously studied models of $f(\mathbb{T})$ and
$f(T_\text{ax},T_\text{ten},T_\text{vec})$ gravity as well as teleparallel dark
energy can be formulated in this language. The advantage of this approach to
gravity is that the field equations for different models all take the same
compact form and general results can be obtained. An important new such result
we find is a constraint which relates the field equations of the tetrad and the
spin connection.

9
The categories of this paper are: nlin
36
The categories of this paper are: cmp-lg
17
The categories of this paper are: q-fin
12
The categories of this paper are: nucl-th
24
The categories of this paper are: dg-ga
35
The categories of this paper are: mtrl-th
4
The categories of this paper are: cond-mat
8
The categories of this paper are: hep-ex
23
The categories of this paper are: solv-int
34
The categories of this paper are: chem-ph
22
The categories of this paper are: chao-dyn
26
The categories of this paper are: bayes-an
6
The categories of this paper are: astro-ph
33
The categories of this paper are: plasm-ph
31
The categories of this paper are: ao-sci
19
The categories of this paper are: eess