Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Mass-Varying Massive Gravity with k-essence   For a large class of mass-varying massive gravity models, the graviton mass
cannot provide the late-time cosmic expansion of the universe due to its
vanishing at late time. In this work, we propose a new class of mass-varying
massive gravity in which the graviton mass varies according to a kinetic term
of a k-essence field. By using a more general form of the fiducial metric, we
found a solution such that a non-vanishing graviton mass can drive the
accelerated expansion of the universe at late time. We also perform dynamical
analyses of such model and found that without introducing the k-essence
Lagrangian, the graviton mass can be responsible for both dark contents of the
universe, namely dark energy that drives the accelerated expansion of the
universe and non-relativistic matter that plays the role of dark matter.
Moreover, by including the k-essence Lagrangian, we found that it is possible
to alleviate the so-called cosmic coincidence problem.

27
The categories of this paper are: comp-gas
28
The categories of this paper are: alg-geom
13
The categories of this paper are: quant-ph
19
The categories of this paper are: eess
11
The categories of this paper are: hep-lat
22
The categories of this paper are: chao-dyn
7
The categories of this paper are: hep-th
34
The categories of this paper are: chem-ph
23
The categories of this paper are: solv-int
1
The categories of this paper are: cs
18
The categories of this paper are: econ
2
The categories of this paper are: math
9
The categories of this paper are: nlin
36
The categories of this paper are: cmp-lg
17
The categories of this paper are: q-fin
30
The categories of this paper are: q-alg