Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Modified Gravitational Equations on Braneworld with Lorentz Invariant
  Violation   The modified gravitational equations to describe a four-dimensional
braneworld in the case with the Lorentz invariant violation in a bulk spacetime
is presented. It contains a trace part of the brane energy-momentum tensor and
the coefficients of all terms describe the Lorentz violation effects from the
bulk spacetime. As an application, we apply this formalism to study cosmology.
In respect to standard effective Friedmann equations on the brane, Lorentz
invariance violation in the bulk causes a modification of this equations that
can lead to significant physical consequences. In particular, the effective
Friedmann equation on the brane explicitly depends on the equation of state of
the brane matter and the Lorentz violating parameters. We show that the
components of five-dimensional Weyl curvature are related to the matter on
brane even at low energies. We also find that the constraints on the theory
parameters are depend on the equation of state of the energy components of the
brane matter. Finally, the stability of the model depend on the specific
choices of initial conditions and the parameters $\beta_i$.

28
The categories of this paper are: alg-geom
9
The categories of this paper are: nlin
6
The categories of this paper are: astro-ph
5
The categories of this paper are: gr-qc
15
The categories of this paper are: nucl-ex
22
The categories of this paper are: chao-dyn
16
The categories of this paper are: stat
8
The categories of this paper are: hep-ex
25
The categories of this paper are: patt-sol
36
The categories of this paper are: cmp-lg
3
The categories of this paper are: physics
37
The categories of this paper are: supr-con
2
The categories of this paper are: math
31
The categories of this paper are: ao-sci
0
The categories of this paper are: hep-ph
1
The categories of this paper are: cs