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Null energy condition and superluminal propagation

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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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Bumpy black holes from spontaneous Lorentz violation

TL;DR: In this article, the authors consider black holes in Lorentz violating theories of massive gravity and argue that in these theories black hole solutions are no longer universal and exhibit a large number of hairs.
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Disorder in the Early Universe

TL;DR: In this article, the authors develop the formalism of disorder for inflation and investigate the observational consequences of quenched disorder, finding that a common prediction is the presence of additional noise in the power spectrum or bispectrum, which can be recast in terms of a modulating field, allowing the quadratic maximum likelihood estimator for this noise.
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Effective perfect fluids in cosmology

TL;DR: In this paper, the cosmological dynamics of perfect fluids are described within the framework of effective field theories, where the effective action is a derivative expansion whose terms are selected by the symmetry requirements on the relevant long-distance degrees of freedom, which are identified with comoving coordinates.
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Phases of holographic superconductors with broken translational symmetry

TL;DR: In this article, the authors considered holographic superconductors in a broad class of massive gravity backgrounds and provided a holographic description of a superconductor with broken translational symmetry, which exhibits a rich phase structure: depending on the values of the temperature and the disorder strength the boundary system can be in superconducting, normal metallic or normal pseudoinsulating phases.
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The viability of phantom dark energy: A review

TL;DR: In this article, the theoretical consistency and viability of phantom dark energy as a field theory were examined and a brief review of the theoretical foundations for the theory was provided. But, since we expect every physical entity to have some kind of field description, we are not aware of any theoretical analysis of such a theory.
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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