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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

The field-theoretical approach is reviewed. Perturbations in general relativity as well as in an arbitrary $D$-dimensional metric theory are studied on a background, which is a solution (arbitrary) of the theory. Lagrangian for…

General Relativity and Quantum Cosmology · Physics 2008-10-16 A. N. Petrov

We take an Effective Field Theory (EFT) approach to unifying existing proposals for the origin of cosmic acceleration and its connection to cosmological observations. Building on earlier work where EFT methods were used with observations to…

Cosmology and Nongalactic Astrophysics · Physics 2013-09-24 Jolyon K. Bloomfield , Éanna É. Flanagan , Minjoon Park , Scott Watson

This paper describes and proves a canonical procedure to decouple perturbations and optimize their gauge around backgrounds with one non-homogeneous dimension, namely of co-homogeneity 1, while preserving locality in this dimension.…

High Energy Physics - Theory · Physics 2007-05-23 Barak Kol

We study cosmological perturbations for a ghost free massive gravity theory formulated with a dynamical extra metric that is needed to massive deform GR. In this formulation FRW background solutions fall in two branches. In the dynamics of…

High Energy Physics - Theory · Physics 2012-07-12 Marco Crisostomi , Denis Comelli , Luigi Pilo

We present the generalisation to (3+1) dimensions of a quantum deformation of the (2+1) (Anti)-de Sitter and Poincar\'e Lie algebras that is compatible with the conditions imposed by the Chern-Simons formulation of (2+1) gravity. Since such…

General Relativity and Quantum Cosmology · Physics 2015-05-18 Angel Ballesteros , Francisco J. Herranz , Pedro Naranjo

Gravity and general relativity are considered as an Effective Field Theory at low energies and macroscopic distances. The effective action of the conformal anomaly of light or massless quantum fields has significant effects on macroscopic…

High Energy Physics - Theory · Physics 2023-02-20 Emil Mottola

We present a thorough stability analysis of modified gravity theories in the presence of matter fields. We use the Effective Field Theory framework for Dark Energy and Modified Gravity to retain a general approach for the gravity sector and…

General Relativity and Quantum Cosmology · Physics 2017-03-14 Antonio De Felice , Noemi Frusciante , Georgios Papadomanolakis

In the de Sitter ambient space formalism the massless fields, which include the linear gravity and massless minimally coupled scalar field, can be written in terms of two separate parts: a massless conformally coupled scalar field and a…

General Relativity and Quantum Cosmology · Physics 2017-12-29 M. V. Takook

We present a new covariant, gauge-invariant formalism describing linear metric perturbation fields on any spherically symmetric background in general relativity. The advantage of this formalism relies in the fact that it does not require a…

General Relativity and Quantum Cosmology · Physics 2013-04-15 Eliana Chaverra , Néstor Ortiz , Olivier Sarbach

The coupling to a 2+1 background geometry of a quantized charged test particle in a strong magnetic field is analyzed. Canonical operators adapting to the fast and slow freedoms produce a natural expansion in the inverse square root of the…

High Energy Physics - Theory · Physics 2016-09-06 P. Maraner

Scalar fields play an important role in constructing modified gravity theories. In the case of a single scalar field with timelike gradient, the corresponding Lagrangian in the unitary gauge takes the form of spatially covariant gravity…

General Relativity and Quantum Cosmology · Physics 2024-07-23 Yang Yu , Zheng Chen , Xian Gao

Scalar-tensor theories are promising dark energy models. A promising scalar-tensor theory, called Horndeski-like gravity, is coming from the application of the Horndeski gravity in string theory and cosmology that takes into account two…

General Relativity and Quantum Cosmology · Physics 2025-03-18 Dani de Boe , Fabiano F. Santos , Jackson Levi Said

A technique to linearize gravitational field equations is developed in which the perturbation metric coefficients are treated as second rank, symmetric, 1-form fields belonging to the Minkowski background spacetime by using the exterior…

General Relativity and Quantum Cosmology · Physics 2017-01-30 Ahmet Baykal , Tekin Dereli

Starting from an action for discretized gravity we derive a canonical formalism that exactly reproduces the dynamics and (broken) symmetries of the covariant formalism. For linearized Regge calculus on a flat background -- which exhibits…

General Relativity and Quantum Cosmology · Physics 2011-08-11 Bianca Dittrich , Philipp A Hoehn

The higher derivative corrections in double field theory are revisited to first order in $\alpha'$. In first order perturbation theory around flat space, the gauge algebra is $\alpha'$ corrected, governed by two parameters $a, b$. One…

High Energy Physics - Theory · Physics 2017-04-05 Olaf Hohm

In general relativity, systems of spinning classical particles are implemented into the canonical formalism of Arnowitt, Deser, and Misner [1]. The implementation is made with the aid of a symmetric stress-energy tensor and not a…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Jan Steinhoff , Gerhard Schäfer , Steven Hergt

We present a systematic exposition of the Lagrangian field theory for the massive spin-two field generated in higher-derivative gravity. It has been noticed by various authors that this nonlinear field overcomes the well known inconsistency…

General Relativity and Quantum Cosmology · Physics 2009-11-07 G. Magnano , L. M. Sokolowski

This is the third in a series of papers which considers first-order gauge-invariant and covariant gravitational perturbations to locally rotationally symmetric (LRS) class II space-times. In this paper we complete our analysis of the…

General Relativity and Quantum Cosmology · Physics 2007-08-21 R. B. Burston

Future observations of the large-scale structure have the potential to investigate cosmological models with a high degree of complexity, including the properties of gravity on large scales, the presence of a complicated dark energy…

Cosmology and Nongalactic Astrophysics · Physics 2019-02-26 Robert Reischke , Alessio Spurio Mancini , Björn Malte Schäfer , Philipp M. Merkel