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We review recent progress in the construction of modified gravity models as alternatives to dark energy as well as the development of cosmological tests of gravity. Einstein's theory of General Relativity (GR) has been tested accurately…

Cosmology and Nongalactic Astrophysics · Physics 2016-03-24 Kazuya Koyama

We introduce mochi_class, an extension of the Einstein-Boltzmann solver hi_class, designed to unlock the full phenomenological potential of Horndeski gravity. This extension allows for general input functions of time without the need for…

Cosmology and Nongalactic Astrophysics · Physics 2024-09-10 Matteo Cataneo , Emilio Bellini

We consider a general Kaluza-Klein reduction of a truncated Lovelock theory. We find necessary geometric conditions for the reduction to be consistent. The resulting lower-dimensional theory is a higher derivative scalar-tensor theory,…

High Energy Physics - Theory · Physics 2014-12-04 C. Charmousis , B. Goutéraux , E. Kiritsis

We study new consistent scalar-tensor theories of gravity recently introduced by Langlois and Noui with potentially interesting cosmological applications. We derive the conditions for the existence of a primary constraint that prevents the…

High Energy Physics - Theory · Physics 2016-04-22 Marco Crisostomi , Kazuya Koyama , Gianmassimo Tasinato

The cosmology of general fourth order corrections to Einstein gravity is considered, both for a homogeneous and isotropic background and for general tensor perturbations. It is explicitly shown how the standard cosmological history can be…

General Relativity and Quantum Cosmology · Physics 2011-03-07 William Nelson

We present a method to introduce relativistic corrections including linear dark energy perturbations in Horndeski theory into Newtonian simulations based on the N-body gauge approach. We assume that standard matter species (cold dark…

Cosmology and Nongalactic Astrophysics · Physics 2021-01-20 Guilherme Brando , Kazuya Koyama , David Wands

Scalar-tensor theories are one of the most natural and well-constrained alternative theories of gravity, while still allowing for significant deviations from general relativity. We present the equations of motion of nonspinning compact…

General Relativity and Quantum Cosmology · Physics 2023-03-02 Laura Bernard

We conducted a theoretical analysis of the violation of the equivalence principle within a broad class of scalar-Einstein-Gauss-Bonnet theories that exhibit spontaneous scalarization. Beginning with the Jordan frame, we performed a…

General Relativity and Quantum Cosmology · Physics 2025-10-03 Martín G. Richarte , Júnior D. Toniato

This paper investigates the propagation of cosmological gravitational waves interacting with free-streaming neutrinos within the context of Horndeski theories of gravity constrained by the detection of GW170817. We apply the theory of…

General Relativity and Quantum Cosmology · Physics 2019-04-19 Mattia Scomparin , Simone Vazzoler

Is Newton's gravity sufficient to handle the weakly nonlinear evolution stages of the cosmic large-scale structures? Here we resolve the issue by analytically deriving the density and velocity power spectra to the second order in the…

Astrophysics · Physics 2008-11-26 Hyerim Noh , Jai-chan Hwang

A toy model of Einstein gravity with a Gauss-Bonnet classically "entropic" term mimicking a quantum correction is considered. The static black hole solution due to Tomozawa is found and generalized with the inclusion of non trivial horizon…

General Relativity and Quantum Cosmology · Physics 2013-10-15 Guido Cognola , Ratbay Myrzakulov , Lorenzo Sebastiani , Sergio Zerbini

In this article we develop some new existence results for the Einstein constraint equations using the Lichnerowicz-York conformal rescaling method. The mean extrinsic curvature is taken to be an arbitrary smooth function without…

General Relativity and Quantum Cosmology · Physics 2010-01-13 M. Holst , G. Nagy , G. Tsogtgerel

We propose and numerically validate a new fitting formula that is sufficiently accurate to model the growth of structure in Horndeski theories of modified gravity for upcoming Stage IV and V large-scale structure surveys. Based on an…

Cosmology and Nongalactic Astrophysics · Physics 2023-09-18 Yuewei Wen , Nhat-Minh Nguyen , Dragan Huterer

We generate new spherical and time-dependent solutions of viable Horndeski gravity by disforming a solution of the Einstein equations with scalar field source and positive cosmological constant. They describe dynamical objects embedded in…

General Relativity and Quantum Cosmology · Physics 2022-10-05 Reza Saadati , Andrea Giusti , Valerio Faraoni , Fatimah Shojai

$f(R)$ gravity models belong to an important class of modified gravity models where the late time cosmic accelerated expansion is considered as the manifestation of the large scale modification of the force of gravity. $f(R)$ gravity models…

General Relativity and Quantum Cosmology · Physics 2013-08-27 Umananda Dev Goswami , Kabita Deka

Alternative theories of gravity not only modify the polarization contents of the gravitational wave, but also affect the motions of the stars and the energy radiated away via the gravitational radiation. These aspects leave imprints in the…

General Relativity and Quantum Cosmology · Physics 2018-03-28 Shaoqi Hou , Yungui Gong

We establish the existence of time-dependent solitons in a modified gravity framework, which is defined by the low energy limit of theories with a weakly broken galileon symmetry and a mass term. These are regular vacuum configurations of…

General Relativity and Quantum Cosmology · Physics 2021-10-18 Juan Barranco , Javier Chagoya , Alberto Diez-Tejedor , Gustavo Niz , Armando A. Roque

In this paper, we extend Horndeski's theory into the Palatini approach, assuming that the metric tensor and the (symmetric) connection are a priori independent objects. We introduce an additional transformation of the connection and write…

General Relativity and Quantum Cosmology · Physics 2026-03-10 Aleksander Kozak

We reformulate the recently proposed regularized version of Lovelock gravity in four dimensions as a scalar-tensor theory. By promoting the warp factor of the internal space to a scalar degree of freedom by means of Kaluza-Klein reduction,…

General Relativity and Quantum Cosmology · Physics 2020-07-22 Tsutomu Kobayashi

The conditions for the existence and stability of cosmological power-law scaling solutions are established when the Einstein-Hilbert action is modified by the inclusion of a function of the Gauss-Bonnet curvature invariant. The general form…

General Relativity and Quantum Cosmology · Physics 2010-04-14 Kotub Uddin , James E. Lidsey , Reza Tavakol