Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Weitzenb\"ock's Torsion, Fermi Coordinates and Adapted Frames   We study Weitzenb\"ock's torsion and discuss its properties. Specifically, we
calculate the measured components of Weitzenb\"ock's torsion tensor for a frame
field adapted to static observers in a Fermi normal coordinate system that we
establish along the world line of an arbitrary accelerated observer in general
relativity. A similar calculation is carried out in the standard
Schwarzschild-like coordinates for static observers in the exterior Kerr
spacetime; we then compare our results with the corresponding curvature
components. Our work supports the contention that in the extended general
relativistic framework involving both the Levi-Civita and Weitzenb\"ock
connections, curvature and torsion provide complementary representations of the
gravitational field.

2
The categories of this paper are: math
3
The categories of this paper are: physics
31
The categories of this paper are: ao-sci
14
The categories of this paper are: math-ph
32
The categories of this paper are: atom-ph
21
The categories of this paper are: adap-org
9
The categories of this paper are: nlin
11
The categories of this paper are: hep-lat
13
The categories of this paper are: quant-ph
34
The categories of this paper are: chem-ph
16
The categories of this paper are: stat
12
The categories of this paper are: nucl-th
20
The categories of this paper are: acc-phys
29
The categories of this paper are: funct-an
28
The categories of this paper are: alg-geom
25
The categories of this paper are: patt-sol