540 research outputs found

### Cosmological perturbations in massive gravity with doubly coupled matter

We investigate the cosmological perturbations around FLRW solutions to non- linear massive gravity with a new effective coupling to matter proposed recently. Unlike the case with minimal matter coupling, all five degrees of freedom in the gravity sector propagate on generic self-accelerating FLRW backgrounds. We study the stability of the cosmological solutions and put constraints on the parameters of the theory by demanding the correct sign for the kinetic terms for scalar, vector and tensor perturbations

### Models for the Brane-Bulk Interaction: Toward Understanding Braneworld Cosmological Perturbation

Using some simple toy models, we explore the nature of the brane-bulk
interaction for cosmological models with a large extra dimension. We are in
particular interested in understanding the role of the bulk gravitons, which
from the point of view of an observer on the brane will appear to generate
dissipation and nonlocality, effects which cannot be incorporated into an
effective (3+1)-dimensional Lagrangian field theoretic description. We
explicitly work out the dynamics of several discrete systems consisting of a
finite number of degrees of freedom on the boundary coupled to a
(1+1)-dimensional field theory subject to a variety of wave equations. Systems
both with and without time translation invariance are considered and moving
boundaries are discussed as well. The models considered contain all the
qualitative feature of quantized linearized cosmological perturbations for a
Randall-Sundrum universe having an arbitrary expansion history, with the sole
exception of gravitational gauge invariance, which will be treated in a later
paper.Comment: 47 pages, RevTeX (or Latex, etc) with 5 eps figure

### Brane gravity, higher derivative terms and non-locality

In brane world scenarios with a bulk scalar field between two branes it is
known that 4-dimensional Einstein gravity is restored at low energies on either
brane. By using a gauge-invariant gravitational and scalar perturbation
formalism we extend the theory of weak gravity in the brane world scenarios to
higher energies, or shorter distances. We argue that weak gravity on either
brane is indistinguishable from 4-dimensional higher derivative gravity,
provided that the inter-brane distance (radion) is stabilized, that the
background bulk scalar field is changing near the branes and that the
background bulk geometry near the branes is warped. This argument holds for a
general conformal transformation to a frame in which matter on the branes is
minimally coupled to the metric. In particular, Newton's constant and the
coefficients of curvature-squared terms in the 4-dimensional effective action
are determined up to an ambiguity of adding a Gauss-Bonnet topological term. In
other words, we provide the brane-world realization of the so called
$R^2$-model without utilizing a quantum theory. We discuss the appearance of
composite spin-2 and spin-0 fields in addition to the graviton on the brane and
point out a possibility that the spin-0 field may play the role of an effective
inflaton to drive brane-world inflation. Finally, we conjecture that the
sequence of higher derivative terms is an infinite series and, thus, indicates
non-locality in the brane world scenarios.Comment: Latex, 18 pages; a comment on the spurious tensor mode was added;
recovery condition of higher derivative gravity clarifie

### Horava-Lifshitz Cosmology: A Review

This article reviews basic construction and cosmological implications of a
power-counting renormalizable theory of gravitation recently proposed by
Horava. We explain that (i) at low energy this theory does not exactly recover
general relativity but instead mimic general relativity plus dark matter; that
(ii) higher spatial curvature terms allow bouncing and cyclic universes as
regular solutions; and that (iii) the anisotropic scaling with the dynamical
critical exponent z=3 solves the horizon problem and leads to scale-invariant
cosmological perturbations even without inflation. We also comment on issues
related to an extra scalar degree of freedom called scalar graviton. In
particular, for spherically-symmetric, static, vacuum configurations we prove
non-perturbative continuity of the lambda->1+0 limit, where lambda is a
parameter in the kinetic action and general relativity has the value lambda=1.
We also derive the condition under which linear instability of the scalar
graviton does not show up.Comment: 28 pages, invited review for CQG; version to be published (v2

### Scaling solution, radion stabilization, and initial condition for brane-world cosmology

We propose a new, self-consistent and dynamical scenario which gives rise to
well-defined initial conditions for five-dimensional brane-world cosmologies
with radion stabilization. At high energies, the five-dimensional effective
theory is assumed to have a scale invariance so that it admits an expanding
scaling solution as a future attractor. The system automatically approaches the
scaling solution and, hence, the initial condition for the subsequent
low-energy brane cosmology is set by the scaling solution. At low energies, the
scale invariance is broken and a radion stabilization mechanism drives the
dynamics of the brane-world system. We present an exact, analytic scaling
solution for a class of scale-invariant effective theories of five-dimensional
brane-world models which includes the five-dimensional reduction of the
Horava-Witten theory, and provide convincing evidence that the scaling solution
is a future attractor.Comment: 17 pages; version accepted for PRD, references adde

### Measurement of Parity Violation in the Early Universe using Gravitational-wave Detectors

A stochastic gravitational-wave background (SGWB) is expected to arise from
the superposition of many independent and unresolved gravitational-wave
signals, of either cosmological or astrophysical origin. Some cosmological
models (characterized, for instance, by a pseudo-scalar inflaton, or by some
modification of gravity) break parity, leading to a polarized SGWB. We present
a new technique to measure this parity violation, which we then apply to the
recent results from LIGO to produce the first upper limit on parity violation
in the SGWB, assuming a generic power-law SGWB spectrum across the LIGO
sensitive frequency region. We also estimate sensitivity to parity violation of
the future generations of gravitational-wave detectors, both for a power-law
spectrum and for a model of axion inflation. This technique offers a new way of
differentiating between the cosmological and astrophysical sources of the
isotropic SGWB, as astrophysical sources are not expected to produce a
polarized SGWB.Comment: 5 pages, 2 figures, 1 tabl

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