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We present a systematic exploration of dark energy and modified gravity models containing a single scalar field non-minimally coupled to the metric. Even though the parameter space is large, by exploiting an effective field theory (EFT)…

Cosmology and Nongalactic Astrophysics · Physics 2019-06-03 Louis Perenon , Federico Piazza , Christian Marinoni , Lam Hui

The exact analytical description of non relativistic charge motion in general magnetic fields is, apparently, a simple problem but, it has not been solved up to now apart for rare cases. The key feature of the present derivation is to adopt…

Plasma Physics · Physics 2015-06-23 Claudio Di Troia

The gauge-independent invariant approach to investigation of the linear scalar perturbations of inflaton and gravitational fields is developed in self-consistent way. This approach allows to compare various gauges used by other researchers…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Roman S. Pasechnik , Gregory M. Vereshkov

Some exact, nonlinear, vacuum gravitational wave solutions are derived for certain polynomial $f(R)$ gravities. We show that the boundaries of the gravitational domain of dependence, associated with events in polynomial $f(R)$ gravity, are…

General Relativity and Quantum Cosmology · Physics 2017-10-11 Arthur George Suvorov , Andrew Melatos

We develop the effective field theory approach to torsional modified gravities, a formalism that allows for the systematic investigation of the background and perturbation levels separately. Starting from the usual effective field theory…

General Relativity and Quantum Cosmology · Physics 2018-10-03 Chunlong Li , Yong Cai , Yi-Fu Cai , Emmanuel N. Saridakis

We study the constraint equations for a class of scalar-tensor effective field theories of gravity, including the operators up to $4$ derivatives in the action ($4\partial$ST). We extend the conformal transverse traceless and conformal thin…

General Relativity and Quantum Cosmology · Physics 2021-03-15 Aron D Kovacs

We consider general, non-linear curvature perturbations on scales greater than the Hubble horizon scale by invoking an expansion in spatial gradients, the so-called gradient expansion. After reviewing the basic properties of the gradient…

Astrophysics · Physics 2009-10-09 Misao Sasaki

The effective field theory (EFT) of inflation provides a natural framework to study the new physical effects on primordial perturbations. Recently a healthy extension of the EFT of inflation with high-order operators has been proposed,…

High Energy Physics - Theory · Physics 2019-10-01 Jin Qiao , Guang-Hua Ding , Qiang Wu , Tao Zhu , Anzhong Wang

General Relativity is expected to break down in the high-curvature regime. Beyond an effective field theory treatment with higher-order operators, it is important to identify consistent theories with higher-curvature terms at the…

General Relativity and Quantum Cosmology · Physics 2025-10-22 Fabrizio Corelli , Paolo Pani , Andrea P. Sanna

Non-linear nature of Einstein equation introduces genuine relativistic higher order corrections to the usual Newtonian fluid equations describing the evolution of cosmological perturbations. We study the effect of such novel non-linearities…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-20 Donghui Jeong , Jinn-Ouk Gong , Hyerim Noh , Jai-chan Hwang

We define fully non-perturbative generalizations of the uniform density and comoving curvature perturbations, which are known, in the linear theory, to be conserved on sufficiently large scales for adiabatic perturbations. Our non-linear…

Astrophysics · Physics 2009-11-10 David Langlois , Filippo Vernizzi

We propose a universal description of dark energy and modified gravity that includes all single-field models. By extending a formalism previously applied to inflation, we consider the metric universally coupled to matter fields and we write…

High Energy Physics - Theory · Physics 2015-06-11 Giulia Gubitosi , Federico Piazza , Filippo Vernizzi

The majority of extensions to General Relativity display mathematical pathologies (higher derivatives, character change in equations that can be classified within PDE theory, and even unclassifiable ones) that cause severe difficulties to…

General Relativity and Quantum Cosmology · Physics 2025-05-08 Ramiro Cayuso , Pau Figueras , Tiago França , Luis Lehner

Several extensions of General Relativity and high energy physics include scalar fields as extra degrees of freedom. In the search for predictions in the non-linear regime of cosmological evolution, the community makes use of numerical…

Cosmology and Nongalactic Astrophysics · Physics 2014-09-04 Claudio Llinares , David Mota

Strong background fields require a non-perturbative treatment, which is afforded in QED by the Furry expansion of scattering amplitudes. It has been conjectured that this expansion breaks down for sufficiently strong fields, based on the…

High Energy Physics - Phenomenology · Physics 2019-04-10 A. Ilderton

We introduce a class of rotating magnetically charged string solutions of the Einstein gravity with a nonlinear electrodynamics source in four dimensions. The present solutions has no curvature singularity and no horizons but has a conic…

High Energy Physics - Theory · Physics 2014-11-21 S. H. Hendi

The question of what gravitational theory could supersede General Relativity has been central in theoretical physics for decades. Many disparate alternatives have been proposed motivated by cosmology, quantum gravity and phenomenological…

General Relativity and Quantum Cosmology · Physics 2017-11-13 Juan Cayuso , Néstor Ortiz , Luis Lehner

We study the non-linear dynamics of quantum fields in matter and radiation dominated universes, using the non-equilibrium field theory approach combined with the non-perturbative Hartree and the large N approximations. We examine the…

High Energy Physics - Phenomenology · Physics 2014-11-17 D. Boyanovsky , D. Cormier , H. J. de Vega , R. Holman , A. Singh , M. Srednicki

In a previous work the authors have solved the Einstein equations of General Relativity for a class of metrics with constant spatial curvature, where it was found a non vanishing Weyl tensor in the presence of a primordial magnetic field…

General Relativity and Quantum Cosmology · Physics 2015-06-10 Grasiele B. Santos , Eduardo Bittencourt , José M. Salim

A higher-derivative, interacting, scalar field theory in curved spacetime with the most general action of sigma-model type is studied. The one-loop counterterms of the general theory are found. The renormalization group equations…

High Energy Physics - Theory · Physics 2009-09-17 E. Elizalde , A. G. Jacksenaev , S. D. Odintsov , I. L. Shapiro