8 research outputs found
Special Massive Spin-2 on de Sitter Space
The theory of a massive spin-2 state on the de Sitter space -- with the mass
squared equal to one sixth of the curvature -- is special for two reasons: (i)
it exhibits an enhanced local symmetry; (ii) it emerges as a part of the model
that gives rise to the self-accelerated Universe. The known problems of this
theory are: either it cannot be coupled to a non-conformal conserved
stress-tensor because of the enhanced symmetry, or it propagates a ghost-like
state when the symmetry is constrained by the Lagrange multiplier method. Here
we propose a solution to these problems in the linearized approximation.Comment: 9 pages, reference added, JCAP versio
A short review of "DGP Specteroscopy"
In this paper we provide a short review of the main results developed in
hep-th/0604086. We focus on linearised vacuum perturbations about the
self-accelerating branch of solutions in the DGP model. These are shown to
contain a ghost in the spectrum for any value of the brane tension. We also
comment on hep-th/0607099, where some counter arguments have been presented.Comment: Minor typos correcte
Gravity on de-Sitter 3-Brane, Induced Einstein-Hilbert Term and Massless Gravitons
We study the extensions of DGP model which are described by five-dimensional
Einstein gravity coupled covariantly to 3-brane with induced gravity term and
consider warped D=4 de Sitter background field solutions on the brane. The case
with included D=5 AdS cosmological term is also considered. Following
background field method we obtain the field equations described by the
Lagrangean terms bilinear in gravitational field. In such a linear field
approximation on curved dS background we calculate explicitly the
five-dimensional massive terms as well as the mass-like ones on the brane. We
investigate the eigenvalue problem of Schr\"{o}dinger-like equation in fifth
dimension for graviton masses and discuss the existence of massless as well as
massive graviton modes in the bulk and on the brane without and with induced
gravity.Comment: LaTeX 26 pages, the version which appears in Class. Quant. Gra
Self-T-Dual Brane Cosmology and the Cosmological Constant Problem
We consider a codimension-one brane embedded in a gravity-dilaton bulk
action, whose symmetries are compatible with T-duality along the space-like
directions parallel to the brane, and the bulk time-like direction. The
equations of motions in the string frame allow for a smooth background obtained
by the union of two symmetric patches of AdS space. The Poincar\'{e} invariance
of the solution appears to hold independently of the value of the brane vacuum
energy, through a self-tuning property of the dilaton ground state. Moreover,
the effective cosmology displays a bounce, at which the scale factor does not
shrink to zero. Finally, by exploiting the T-duality symmetry, we show how to
construct an ever-expanding Universe, along the lines of the Pre-Big Bang
scenario.Comment: Minor corrections, comments & references added. Accepted for
publicatio
Perturbations of Self-Accelerated Universe
We discuss small perturbations on the self-accelerated solution of the DGP
model, and argue that claims of instability of the solution that are based on
linearized calculations are unwarranted because of the following: (1) Small
perturbations of an empty self-accelerated background can be quantized
consistently without yielding ghosts. (2) Conformal sources, such as radiation,
do not give rise to instabilities either. (3) A typical non-conformal source
could introduce ghosts in the linearized approximation and become unstable,
however, it also invalidates the approximation itself. Such a source creates a
halo of variable curvature that locally dominates over the self-accelerated
background and extends over a domain in which the linearization breaks down.
Perturbations that are valid outside the halo may not continue inside, as it is
suggested by some non-perturbative solutions. (4) In the Euclidean continuation
of the theory, with arbitrary sources, we derive certain constraints imposed by
the second order equations on first order perturbations, thus restricting the
linearized solutions that could be continued into the full nonlinear theory.
Naive linearized solutions fail to satisfy the above constraints. (5) Finally,
we clarify in detail subtleties associated with the boundary conditions and
analytic properties of the Green's functions.Comment: 39 LaTex page
Mass Screening in Modified Gravity
Models of modified gravity introduce extra degrees of freedom, which for
consistency with the data, should be suppressed at observable scales. In the
models that share properties of massive gravity such a suppression is due to
nonlinear interactions: An isolated massive astrophysical object creates a halo
of a nonzero curvature around it, shielding its vicinity from the influence of
the extra degrees of freedom. We emphasize that the very same halo leads to a
screening of the gravitational mass of the object, as seen by an observer
beyond the halo. We discuss the case when the screening could be very
significant and may rule out, or render the models observationally interesting.Comment: 16 pages, 4 figures, A contribution to the Proceedings of the
International Workshop on Cosmology and Gravitation, Peyresq 12, June 16-22,
2007, Peyresq, Franc
Cosmic Mimicry: Is LCDM a Braneworld in Disguise ?
For a broad range of parameter values, braneworld models display a remarkable
property which we call cosmic mimicry. Cosmic mimicry is characterized by the
fact that, at low redshifts, the Hubble parameter in the braneworld model is
virtually indistinguishable from that in the LCDM cosmology. An important point
to note is that the \Omega_m parameters in the braneworld model and in the LCDM
cosmology can nevertheless be quite different. Thus, at high redshifts (early
times), the braneworld asymptotically expands like a matter-dominated universe
with the value of \Omega_m inferred from the observations of the local matter
density. At low redshifts (late times), the braneworld model behaves almost
exactly like the LCDM model but with a renormalized value of the cosmological
density parameter \Omega_m^{LCDM}. The redshift which characterizes cosmic
mimicry is related to the parameters in the higher-dimensional braneworld
Lagrangian. Cosmic mimicry is a natural consequence of the scale-dependence of
gravity in braneworld models. The change in the value of the cosmological
density parameter is shown to be related to the spatial dependence of the
effective gravitational constant in braneworld theory. A subclass of mimicry
models lead to an older age of the universe and also predict a redshift of
reionization which is lower than z_{reion} \simeq 17 in the LCDM cosmology.
These models might therefore provide a background cosmology which is in better
agreement both with the observed quasar abundance at z \gsim 4 and with the
large optical depth to reionization measured by the Wilkinson Microwave
Anisotropy Probe.Comment: 22 pages, 4 figures. A subsection and references added; main results
remain unchanged. Accepted for publication in JCA