Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Computation of the conformal algebra of 1+3 decomposable spacetimes   The conformal algebra of a 1+3 decomposable spacetime can be computed from
the conformal Killing vectors (CKV) of the 3-space. It is shown that the
general form of such a 3-CKV is the sum of a gradient CKV and a Killing or
homothetic 3-vector. It is proved that spaces of constant curvature always
admit such conformal Killing vectors. As an example, the complete conformal
algebra of a G\"odel-type spacetime is computed. Finally it is shown that this
method can be extended to compute the conformal algebra of more general
non-decomposable spacetimes.

9
The categories of this paper are: nlin
20
The categories of this paper are: acc-phys
23
The categories of this paper are: solv-int
14
The categories of this paper are: math-ph
30
The categories of this paper are: q-alg
4
The categories of this paper are: cond-mat
27
The categories of this paper are: comp-gas
13
The categories of this paper are: quant-ph
8
The categories of this paper are: hep-ex
16
The categories of this paper are: stat
10
The categories of this paper are: q-bio
7
The categories of this paper are: hep-th
15
The categories of this paper are: nucl-ex
11
The categories of this paper are: hep-lat
28
The categories of this paper are: alg-geom
24
The categories of this paper are: dg-ga