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We present a method for constructing gauge-invariant cosmological perturbations which are gauge-invariant up to second order. As an example we give the gauge-invariant definition of the second-order curvature perturbation on uniform density…

Astrophysics · Physics 2009-11-10 Karim A Malik , David Wands

We study the general structure of models for structure formation, with applications to the reverse engineering of the model from observations. Through a careful accounting of the degrees of freedom in covariant gravitational instability…

Astrophysics · Physics 2011-07-18 Wayne Hu , Daniel J. Eisenstein

We consider the evolution of linear perturbations in models with a nonminimal coupling between dark matter and scalar field dark energy. Growth of matter inhomogeneities in two examples of such models proposed in the literature are…

Astrophysics · Physics 2009-11-11 Tomi Koivisto

We study scalar field theories that break diffeomorphism invariance down to the subgroup of transverse diffeomorphisms through the matter sector in cosmological backgrounds. We focus on single- and multi-field models and develop the…

General Relativity and Quantum Cosmology · Physics 2026-05-19 Antonio L. Maroto , Prado Martín-Moruno , Diego Tessainer

We study the linear perturbations of multi-field inflationary models governed by a Lagrangian which is a general function of the scalar fields and of a global kinetic term combining their spacetime gradients with an arbitrary field space…

High Energy Physics - Theory · Physics 2008-11-26 David Langlois , Sébastien Renaux-Petel

We study second-order perturbations for a general non-canonical scalar field, minimally coupled to gravity, on the unperturbed FRW background, where metric fluctuations are neglected a priori. By employing different approaches to…

Cosmology and Nongalactic Astrophysics · Physics 2010-04-30 Corrado Appignani , Roberto Casadio , S. Shankaranarayanan

We propose and construct a two-parameter perturbative expansion around a Friedmann-Lema\^{i}tre-Robertson-Walker geometry that can be used to model high-order gravitational effects in the presence of non-linear structure. This framework…

Cosmology and Nongalactic Astrophysics · Physics 2017-02-15 Sophia R. Goldberg , Timothy Clifton , Karim A. Malik

Late-time cosmic acceleration is one of the most interesting unsolved puzzles in modern cosmology. The explanation most accepted nowadays, dark energy, raises questions about its own nature, e.g. what exactly is dark energy, and…

Cosmology and Nongalactic Astrophysics · Physics 2019-04-26 Williams J. M. Ribeiro

We develop an approach to compute observables beyond the linear regime of dark matter perturbations for general dark energy and modified gravity models. We do so by combining the Effective Field Theory of Dark Energy and Effective Field…

Cosmology and Nongalactic Astrophysics · Physics 2020-01-07 Giulia Cusin , Matthew Lewandowski , Filippo Vernizzi

The properties of metric perturbations are determined in the context of an expanding Universe governed by a modified theory of gravity with a non-minimal coupling between curvature and matter. We analyse the dynamics of the 6 components of…

General Relativity and Quantum Cosmology · Physics 2025-01-07 Miguel Barroso Varela , Orfeu Bertolami

For dynamical dark energy with the barotropic equation of state we determine the mean values of parameters and their confidence ranges together with other cosmological parameters on the basis of different combined datasets. The used…

Cosmology and Nongalactic Astrophysics · Physics 2018-11-13 O. Sergijenko

In this note we investigate the effects of perturbations in a dark energy component with a constant equation of state on large scale cosmic microwave background anisotropies. The inclusion of perturbations increases the large scale power.…

Astrophysics · Physics 2009-07-09 J. Weller , A. M. Lewis

We introduce N-parameter perturbation theory as a new tool for the study of non-linear relativistic phenomena. The main ingredient in this formulation is the use of the Baker-Campbell-Hausdorff formula. The associated machinery allows us to…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Carlos F. Sopuerta , Marco Bruni , Leonardo Gualtieri

We use the structure of conditionally independent states to analyze the stability of topological entanglement entropy. For the ground state of quantum double or Levin-Wen model, we obtain a bound on the first order perturbation of…

Strongly Correlated Electrons · Physics 2015-06-11 Isaac H. Kim

A possible solution to the dark energy problem is that Einstein's theory of general relativity is modified. A suite of models have been proposed that, in general, are unable to predict the correct amount of large scale structure in the…

Cosmology and Nongalactic Astrophysics · Physics 2010-05-28 Pedro G. Ferreira , Constantinos Skordis

The next generation of cosmological surveys will operate over unprecedented scales, and will therefore provide exciting new opportunities for testing general relativity. The standard method for modelling the structures that these surveys…

General Relativity and Quantum Cosmology · Physics 2018-03-28 Sophia R. Goldberg , Christopher Gallagher , Timothy Clifton

In the context of f(R) theories of gravity, we study the cosmological evolution of scalar perturbations by using a completely general procedure. We find that the exact fourth-order differential equation for the matter density perturbations…

Astrophysics · Physics 2015-05-13 A. de la Cruz-Dombriz , A. Dobado , A. L. Maroto

Modifications of General Relativity usually include extra dynamical degrees of freedom, which to date remain undetected. Here we explore the possibility of modifying Einstein's theory by adding solely nondynamical fields. With the minimal…

General Relativity and Quantum Cosmology · Physics 2014-01-07 Paolo Pani , Thomas P. Sotiriou , Daniele Vernieri

In this paper, a Lagrangian perturbation theory for the second order treatment of small disturbances of the event horizon in Schwarzchild black holes is introduced. The issue of gauge invariance in the context of general relativistic theory…

General Relativity and Quantum Cosmology · Physics 2015-06-03 Nahid Ahmadi

I derive the stochastic equation for the perturbations of the metric for a gauge - invariant energy - momemtum - tensor (EMT) in stochastic inflation. A quantization for the field that describes the gauge - invariant perturbations for the…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Mauricio Bellini