Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Singularity of metrics and its connection to thermodynamics and dynamics
  of black holes   In general, a singular metric leads to an incomplete spacetime, while a
non-singular metric gives rise to a complete (an incomplete) spacetime if the
corresponding Ricci and Kretschmann scalars converge (diverge) and radial
geodesics are complete (incomplete) at the center of a black hole. We find that
one black hole, associated with a singular metric in a certain region of
parameters, presents the thermodynamic and dynamic effects different from those
the same black hole, associated with a non-singular metric in another certain
region of parameters, does even though both the singular and non-singular
metrics describe an incomplete spacetime. We take the charged black hole in the
four-dimensional Einstein-Gauss-Bonnet theory as an example, and provide a
proposal to observe this phenomenon by connecting the singularity of metrics
with the second-order phase transition and quasinormal modes in the eikonal
limit. The resulting effects might be observed in future experiments when
compared with those of the Reissner-Nordstr\"om black hole of Einstein's
general relativity.

35
The categories of this paper are: mtrl-th
34
The categories of this paper are: chem-ph
31
The categories of this paper are: ao-sci
8
The categories of this paper are: hep-ex
24
The categories of this paper are: dg-ga
37
The categories of this paper are: supr-con
15
The categories of this paper are: nucl-ex
25
The categories of this paper are: patt-sol
3
The categories of this paper are: physics
17
The categories of this paper are: q-fin
14
The categories of this paper are: math-ph
1
The categories of this paper are: cs
13
The categories of this paper are: quant-ph
26
The categories of this paper are: bayes-an
9
The categories of this paper are: nlin
2
The categories of this paper are: math