Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Layzer-Irvine equation: new perspectives and the role of interacting
  dark energy   We derive the Layzer-Irvine equation in the presence of a homogeneous (or
quasi-homogeneous) dark energy component with an arbitrary equation of state.
We extend the Layzer-Irvine equation to homogeneous and isotropic universes
with an arbitrary number of dimensions and obtain the corresponding virial
relation for sufficiently relaxed objects. We find analogous equations
describing the dynamics of cosmic string loops and other p-branes of arbitrary
dimensionality, discussing the corresponding relativistic and non-relativistic
limits. Finally, we generalize the Layzer-Irvine equation to account for a
non-minimal interaction between dark matter and dark energy, discussing its
practical use as a signature of such an interaction.

36
The categories of this paper are: cmp-lg
19
The categories of this paper are: eess
7
The categories of this paper are: hep-th
25
The categories of this paper are: patt-sol
18
The categories of this paper are: econ
15
The categories of this paper are: nucl-ex
33
The categories of this paper are: plasm-ph
23
The categories of this paper are: solv-int
8
The categories of this paper are: hep-ex
13
The categories of this paper are: quant-ph
28
The categories of this paper are: alg-geom
10
The categories of this paper are: q-bio
21
The categories of this paper are: adap-org
34
The categories of this paper are: chem-ph
4
The categories of this paper are: cond-mat
20
The categories of this paper are: acc-phys