Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On a Class of Riemann-Cartan Space-times of G\"odel Type   A class of Riemann-Cartan G\"odel-type space-times is examined by using the
equivalence problem techniques, as formulated by Fonseca-Neto et al. and
embodied in a suite of computer algebra programs called TCLASSI. A
coordinate-invariant description of the gravitational field for this class of
space-times is presented. It is also shown that these space-times can admit a
group $G_{r}$ of affine-isometric motions of dimensions $r=2, 4, 5$. The
necessary and sufficient conditions for space-time (ST) homogeneity of this
class of space-times are derived, extending previous works on G\"odel-type
space-times. The equivalence of space-times in the ST homogeneous subclass is
studied, recovering recent results under different premises. The results of the
limiting Riemannian case are also recovered.

33
The categories of this paper are: plasm-ph
4
The categories of this paper are: cond-mat
19
The categories of this paper are: eess
0
The categories of this paper are: hep-ph
31
The categories of this paper are: ao-sci
36
The categories of this paper are: cmp-lg
12
The categories of this paper are: nucl-th
1
The categories of this paper are: cs
34
The categories of this paper are: chem-ph
25
The categories of this paper are: patt-sol
9
The categories of this paper are: nlin
16
The categories of this paper are: stat
26
The categories of this paper are: bayes-an
21
The categories of this paper are: adap-org
20
The categories of this paper are: acc-phys
37
The categories of this paper are: supr-con