Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Strategy to Construct Exact Solutions in Einstein-Scalar Gravities   In this article we propose a new efficient strategy to construct exact
solutions of Einstein gravities with a minimally coupled self-interacting
scalar field. The strategy is to use the symmetry of the equations of motion
(EOMs) to give a proper ansatz for scalar field first, then derive the metric
and the corresponding scalar potential later. Using this strategy we give a
simple example of constructing exact circular solutions in three dimensional
gravities, these solutions contain the HMTZ black holes as a special case and
some other new solutions. We also talk about thermodynamics of these exact
solutions. This strategy also works for other metrics and in higher dimensional
spacetime if their EOMs admit a scalar invariance.

18
The categories of this paper are: econ
14
The categories of this paper are: math-ph
31
The categories of this paper are: ao-sci
28
The categories of this paper are: alg-geom
29
The categories of this paper are: funct-an
1
The categories of this paper are: cs
27
The categories of this paper are: comp-gas
37
The categories of this paper are: supr-con
6
The categories of this paper are: astro-ph
8
The categories of this paper are: hep-ex
11
The categories of this paper are: hep-lat
30
The categories of this paper are: q-alg
21
The categories of this paper are: adap-org
22
The categories of this paper are: chao-dyn
23
The categories of this paper are: solv-int
34
The categories of this paper are: chem-ph