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This article is intended to review the recent developments in the Horndeski theory and its generalization, which provide us with a systematic understanding of scalar-tensor theories of gravity as well as a powerful tool to explore…

General Relativity and Quantum Cosmology · Physics 2019-07-22 Tsutomu Kobayashi

Studying the effects of dark energy and modified gravity on cosmological scales has led to a great number of physical models being developed. The effective field theory (EFT) of cosmic acceleration allows an efficient exploration of this…

General Relativity and Quantum Cosmology · Physics 2017-11-01 Joe Kennedy , Lucas Lombriser , Andy Taylor

We study the Cauchy problem of higher dimensional Einstein-Maxwell-Higgs system in the framework of Bondi coordinates. As a first step, the problem is reduced to a single first-order integro-differential equation by defining a generalized…

General Relativity and Quantum Cosmology · Physics 2024-07-30 Mirda Prisma Wijayanto , Fiki Taufik Akbar , Bobby Eka Gunara

We present $\mathcal{H}\mathtt{-EFTCAMB}$, the official successor to $\mathtt{EFTCAMB}$. The original $\mathtt{EFTCAMB}$ is designed as a consistent and numerically stable implementation of the effective field theory (EFT) of dark energy in…

General Relativity and Quantum Cosmology · Physics 2026-03-30 Gen Ye , Shijie Lin , Jiaming Pan , Dani de Boe , Stan Verhoeve , Marco Raveri , Bin Hu , Noemi Frusciante , Alessandra Silvestri

Modifications of gravity have been considered to model the primordial inflation and the late-time cosmic acceleration. Provided that modified gravity models do not suffer from theoretical instabilities, they must be confronted with…

General Relativity and Quantum Cosmology · Physics 2016-10-13 Sandrine Schlögel

A set of conditions that any effective field theory needs to satisfy in order to allow for the existence of a viable UV completion has recently gained attention in the cosmological context under the name of $\textit{positivity bounds}$. In…

Cosmology and Nongalactic Astrophysics · Physics 2024-03-22 Dani de Boe , Gen Ye , Fabrizio Renzi , Inês S. Albuquerque , Noemi Frusciante , Alessandra Silvestri

The Einstein-Hilbert action with a cosmological constant is the most general local four-dimensional action leading to second-order derivative equations of motion that are symmetric and divergence free. In higher dimensions, additional terms…

General Relativity and Quantum Cosmology · Physics 2021-02-09 Soumya Jana , Charles Dalang , Lucas Lombriser

In the previous article Eur. Phys. J. Plus 136, 590 (2021) (arXiv: 2110.15396) we have proposed a reconstruction method for the kinetic gravity braiding theory in the framework of the flat Friedman-Robertson-Walker spacetime. Here we…

General Relativity and Quantum Cosmology · Physics 2022-07-05 Ruslan K. Muharlyamov , Tatiana N. Pankratyeva

Genesis within the Horndeski theory is one of possible scenarios for the start of the Universe. In this model, the absence of instabilities is obtained at the expense of the property that coefficients, serving as effective Planck masses,…

High Energy Physics - Theory · Physics 2020-12-30 Y. Ageeva , P. Petrov , V. Rubakov

We naturally extend the theory of gravity with a conformally coupled scalar field by only requiring conformal invariance of the scalar field equation of motion and not of the action. The classically extended theory incorporates a…

General Relativity and Quantum Cosmology · Physics 2021-06-07 Pedro G. S. Fernandes

Rather than obtaining cosmic acceleration with a scalar field potential (quintessence) or noncanonical kinetic term (k-essence), we can do it purely through a modified gravity braiding of the scalar and metric, i.e. the $G_3$ Horndeski…

General Relativity and Quantum Cosmology · Physics 2021-12-24 Eric V. Linder

We describe the implementation of a new approach to the numerical evaluation of the effects of non-cold relics on the evolution of cosmological perturbations. The Boltzmann hierarchies used to compute the contributions of these relics to…

Cosmology and Nongalactic Astrophysics · Physics 2025-09-03 Nanoom Lee , José Luis Bernal , Sven Günther , Lingyuan Ji , Marc Kamionkowski

The $\texttt{Hi-COLA}$ code is an efficient dark matter simulation suite that flexibly handles the Horndeski family of modified gravity models. In this work we extend the scope of $\texttt{Hi-COLA}$ to accommodate Horndeski theories with…

Cosmology and Nongalactic Astrophysics · Physics 2025-11-04 Ashim Sen Gupta , Bartolomeo Fiorini , Tessa Baker

We develop a modified semi-classical approach to the approximate solution of Schrodinger's equation for certain nonlinear quantum oscillations problems. At lowest order, the Hamilton-Jacobi equation of the conventional semi-classical…

Mathematical Physics · Physics 2015-06-03 Vincent Moncrief , Antonella Marini , Rachel Maitra

The cosmological constant and its phenomenology remain among the greatest puzzles in theoretical physics. We review how modifications of Einstein's general relativity could alleviate the different problems associated with it that result…

General Relativity and Quantum Cosmology · Physics 2022-10-14 The FADE Collaboration , Heliudson Bernardo , Benjamin Bose , Guilherme Franzmann , Steffen Hagstotz , Yutong He , Aliki Litsa , Florian Niedermann

We review the effective field theory of modified gravity in which the Lagrangian involves three dimensional geometric quantities appearing in the 3+1 decomposition of space-time. On the flat isotropic cosmological background we expand a…

High Energy Physics - Theory · Physics 2015-02-24 Ryotaro Kase , Shinji Tsujikawa

Cosmic acceleration may be due to modifications of cosmic gravity and to test this we need robust connections between theory and observations. However, in a model independent approach like effective field theory or a broad class like…

Cosmology and Nongalactic Astrophysics · Physics 2017-01-31 Eric V. Linder

Gravitational waves (GW) are generally affected by modification of a gravity theory during propagation in cosmological distance. We numerically perform a quantitative analysis on Horndeski theory at cosmological scale to constrain the…

General Relativity and Quantum Cosmology · Physics 2018-05-28 Shun Arai , Atsushi Nishizawa

The Mori-Zwanzig projection operator formalism is a powerful method for the derivation of mesoscopic and macroscopic theories based on known microscopic equations of motion. It has applications in a large number of areas including fluid…

Statistical Mechanics · Physics 2019-06-26 Michael te Vrugt , Raphael Wittkowski

We study the renormalization of a particular sector of Horndeski theory. In particular, we focus on the nonminimal coupling of a scalar field to the Gauss-Bonnet term and its kinetic coupling to the Einstein tensor. Adopting a power…

High Energy Physics - Theory · Physics 2024-05-14 Nicolás Cáceres , Cristóbal Corral , Felipe Diaz , Rodrigo Olea