Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Schwarzschild black hole and the generalized second law in
  phantom-dominated universe   We study the conditions required for validity of the generalized second law
in phantom dominated universe in the presence of Schwarzschild black hole. Our
study is independent of the origin of the phantom like behavior of the
considered universe. We also discuss the generalized second law in the
neighborhood of transition (from quintessence to phantom regime) time. We show
that even for a constant equation of state parameter the generalized second law
may be satisfied provided the temperature is not taken as de Sitter
temperature. It is shown that in models with (only) a transition from
quintessence to phantom regime the generalized second law does not hold in the
transition epoch.

2
The categories of this paper are: math
18
The categories of this paper are: econ
26
The categories of this paper are: bayes-an
33
The categories of this paper are: plasm-ph
8
The categories of this paper are: hep-ex
11
The categories of this paper are: hep-lat
29
The categories of this paper are: funct-an
0
The categories of this paper are: hep-ph
3
The categories of this paper are: physics
31
The categories of this paper are: ao-sci
19
The categories of this paper are: eess
7
The categories of this paper are: hep-th
23
The categories of this paper are: solv-int
35
The categories of this paper are: mtrl-th
22
The categories of this paper are: chao-dyn
1
The categories of this paper are: cs