Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: G\"{o}del and G\"{o}del-type solutions in the Palatini $f(R,T)$ gravity
  theory   The Palatini $f(R,T)$ gravity theory is considered. The standard
Einstein-Hilbert action is replaced by an arbitrary function of the Ricci
scalar $R$ and of the trace $T$ of the energy-momentum tensor. In the Palatini
approach, the Ricci scalar is a function of the metric and the connection.
These two quantities, metric and connection, are taken as independents
variables. Then, it is examined whether Palatini $f(R,T)$ gravity theory allows
solutions in which lead to violation of causality. The G\"{o}del and
G\"{o}del-type space-times are considered. In addition, a critical radius,
which permits to examine limits for violation of causality, is calculated. It
is shown that, for different matter contents, non-causal solutions can be
avoided in this Palatini gravitational theory.

37
The categories of this paper are: supr-con
14
The categories of this paper are: math-ph
8
The categories of this paper are: hep-ex
29
The categories of this paper are: funct-an
23
The categories of this paper are: solv-int
17
The categories of this paper are: q-fin
33
The categories of this paper are: plasm-ph
12
The categories of this paper are: nucl-th
9
The categories of this paper are: nlin
7
The categories of this paper are: hep-th
35
The categories of this paper are: mtrl-th
1
The categories of this paper are: cs
11
The categories of this paper are: hep-lat
32
The categories of this paper are: atom-ph
19
The categories of this paper are: eess
21
The categories of this paper are: adap-org