Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Premetric equivalent of general relativity: Teleparallelism   In general relativity (GR), the metric tensor of spacetime is essential since
it represents the gravitational potential. In other gauge theories (such as
electromagnetism), the so-called premetric approach succeeds in separating the
purely topological field equation from the metric-dependent constitutive law.
We show here that GR allows for a premetric formulation, too. For this purpose,
we apply the teleparallel approach of gravity, which represents GR as a gauge
theory based on the translation group. We formulate the metric-free topological
field equation and a general linear constitutive law between the basic field
variables. The requirement of local Lorentz invariance turns the model into a
full equivalent of GR. Our approach opens a way for a natural extension of GR
to diverse geometrical structures of spacetime.

20
The categories of this paper are: acc-phys
4
The categories of this paper are: cond-mat
15
The categories of this paper are: nucl-ex
7
The categories of this paper are: hep-th
28
The categories of this paper are: alg-geom
16
The categories of this paper are: stat
22
The categories of this paper are: chao-dyn
31
The categories of this paper are: ao-sci
37
The categories of this paper are: supr-con
17
The categories of this paper are: q-fin
10
The categories of this paper are: q-bio
18
The categories of this paper are: econ
32
The categories of this paper are: atom-ph
29
The categories of this paper are: funct-an
23
The categories of this paper are: solv-int
19
The categories of this paper are: eess