Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Cosmological perturbations of brane-induced gravity and the vDVZ
  discontinuity on FLRW space-times   We investigate the cosmological perturbations of the brane-induced
(Dvali-Gabadadze-Porrati) model which exhibits a van Dam-Veltman-Zakharov
(vDVZ) discontinuity when linearized over a Minkowski background. We show that
the linear brane scalar cosmological perturbations over an arbitrary
Friedmann-Lemaitre-Robertson-Walker (FLRW) space-time have a well defined limit
when the radius of transition between 4D and 5D gravity is sent to infinity
with respect to the background Hubble radius. This radius of transition plays
for the brane-induced gravity model a role equivalent to the Compton wavelength
of the graviton in a Pauli-Fierz theory, as far as the vDVZ discontinuity is
concerned. This well defined limit is shown to obey the linearized 4D
Einstein's equations whenever the Hubble factor is non vanishing. This shows
the disappearance of the vDVZ discontinuity for general FLRW background, and
extends the previously know result for maximally-symmetric space-times of non
vanishing curvature. Our reasoning is valid for matter with simple equation of
state such as a scalar field, or a perfect fluid with adiabatic perturbations,
and involves to distinguish between space-times with a vanishing scalar
curvature and space-times with a non vanishing one. We also discuss the
validity of the linear perturbation theory, in particular for those FLRW
space-times where the Ricci scalar is vanishing only on a set of zero measure.
In those cases, we argue that the linear perturbation theory breaks down when
the Ricci scalar vanishes (and the radius of transition is sent to infinity),
in a way similar to what has been found to occur around sources on a Minkowski
background.

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The categories of this paper are: nlin
31
The categories of this paper are: ao-sci
32
The categories of this paper are: atom-ph
37
The categories of this paper are: supr-con
21
The categories of this paper are: adap-org
15
The categories of this paper are: nucl-ex
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The categories of this paper are: dg-ga
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The categories of this paper are: stat
34
The categories of this paper are: chem-ph
3
The categories of this paper are: physics
22
The categories of this paper are: chao-dyn
28
The categories of this paper are: alg-geom
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The categories of this paper are: cond-mat
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The categories of this paper are: bayes-an
1
The categories of this paper are: cs
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The categories of this paper are: acc-phys