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Open AccessJournal ArticleDOI

Null energy condition and superluminal propagation

TLDR
In this paper, the null energy condition is violated in a large class of situations, including isotropic solids and fluids relevant for cosmology, and the existence of superluminal modes is shown to imply the presence of instabilities.
Abstract
We study whether a violation of the null energy condition necessarily implies the presence of instabilities. We prove that this is the case in a large class of situations, including isotropic solids and fluids relevant for cosmology. On the other hand we present several counter-examples of consistent effective field theories possessing a stable background where the null energy condition is violated. Two necessary features of these counter-examples are the lack of isotropy of the background and the presence of superluminal modes. We argue that many of the properties of massive gravity can be understood by associating it to a solid at the edge of violating the null energy condition. We briefly analyze the difficulties of mimicking u H > 0 in scalar tensor theories of gravity.

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The Dynamics of Line Defects and Their Sensitivity to the Lattice Structure

TL;DR: In this paper , it was shown that the dispersion relation for the dynamical modes of dislocations in solids is sensitive to the lattice symmetries, and that the ratio of the phonon lifetimes, at leading order in the low energy expansion, scales as τ I /τ II ∼ (dE II /dk ) / ( dE I /dk) = k/ (mv ) where v is the type I Goldstone velocity and m the mass parameter which appears in the type II dispersion relations.

Dark-energy properties of a spacetime-symmetry breaking cosmological solution -- late-time behaviour and phantom crossing

TL;DR: In this article , the Friedmann equations are expressed as a logarithmic dependence of the scale factor of the dark energy equation of state, where the symmetry-breaking coefficient is defined as the inverse of the cosmological scale factor.
Dissertation

An action principle for dissipative fluid dynamics

TL;DR: In this article, a new formulation of fluid dynamics in terms of a path integral is proposed, which systematically encodes the effects of thermal and quantum fluctuations. But it does not consider the effect of quantum fluctuations on the dynamics.
Posted Content

Surface Layers in the Gravity/Hydrodynamics Correspondence

TL;DR: In this paper, the authors consider boundaries between nonrelativistic flows, applying the usual boundary conditions for viscous fluids, and find that a naive application of the correspondence to these boundaries yields a surface layer in the gravity theory whose stress tensor is not equal to that given by the Israel matching conditions.
Journal ArticleDOI

Primordial gravitational waves and perturbations during an inhomogeneous inflation

TL;DR: In this article, the authors investigated the inhomogeneous inflation, in which the space exponentially expands with inhomogeneities, and its cosmological perturbations, and they found that the space can expand uniformly in different direction with the same rate.
References
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Book

The Large Scale Structure of Space-Time

TL;DR: In this paper, the authors discuss the General Theory of Relativity in the large and discuss the significance of space-time curvature and the global properties of a number of exact solutions of Einstein's field equations.
Book

General Relativity

Robert Wald
Journal ArticleDOI

4D Gravity on a Brane in 5D Minkowski Space

TL;DR: In this article, the authors propose a mechanism by which four-dimensional Newtonian gravity emerges on a 3-brane in 5D Minkowski space with an infinite size extra dimension.
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