Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Weyl gravity as general relativity   When the full connection of Weyl conformal gravity is varied instead of just
the metric, the resulting vacuum field equations reduce to the vacuum Einstein
equation, up to the choice of local units, if and only if the torsion vanishes.
This result differs strongly from the usual fourth-order formulation of Weyl
gravity.

8
The categories of this paper are: hep-ex
1
The categories of this paper are: cs
9
The categories of this paper are: nlin
24
The categories of this paper are: dg-ga
19
The categories of this paper are: eess
22
The categories of this paper are: chao-dyn
15
The categories of this paper are: nucl-ex
35
The categories of this paper are: mtrl-th
4
The categories of this paper are: cond-mat
6
The categories of this paper are: astro-ph
11
The categories of this paper are: hep-lat
27
The categories of this paper are: comp-gas
25
The categories of this paper are: patt-sol
37
The categories of this paper are: supr-con
31
The categories of this paper are: ao-sci
33
The categories of this paper are: plasm-ph