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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

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 generalize to reduced Horndeski theories of gravity, where gravitational waves (GWs) travel at the speed of light, the expression of a statistically homogeneous and unpolarized stochastic gravitational wave background (SGWB) signal…

General Relativity and Quantum Cosmology · Physics 2022-12-01 João C. Lobato , Isabela S. Matos , Maurício O. Calvão , Ioav Waga

This paper is a pedagogical introduction to models of gravity and how to constrain them through cosmological observations. We focus on the Horndeski scalar-tensor theory and on the quantities that can be measured with a minimum of…

Cosmology and Nongalactic Astrophysics · Physics 2020-01-27 Luca Amendola , Dario Bettoni , Ana Marta Pinho , Santiago Casas

The next generation of surveys will greatly improve our knowledge of cosmological gravity. In this paper we focus on how Stage IV photometric redshift surveys, including weak lensing and multiple tracers of the matter distribution and radio…

Cosmology and Nongalactic Astrophysics · Physics 2020-12-18 David Alonso , Emilio Bellini , Pedro G. Ferreira , Miguel Zumalacarregui

Horndeski derived a most general vector-tensor theory in which the vector field respects the gauge symmetry and the resulting dynamical equations are of second order. The action contains only one free parameter, $\lambda$, that determines…

General Relativity and Quantum Cosmology · Physics 2013-03-12 John D. Barrow , Mikjel Thorsrud , Kei Yamamoto

We summarise the effective field theory of dark energy construction to explore observable predictions of linear Horndeski theories. Based on \cite{Perenon:2016blf}, we review the diagnostic of these theories on the correlation of the…

General Relativity and Quantum Cosmology · Physics 2019-06-14 Louis Perenon , Hermano Velten

Modified gravity theories have received increased attention lately to understand the late time acceleration of the universe. This viewpoint essentially modifies the geometric components of the universe. Among numerous extension to…

General Relativity and Quantum Cosmology · Physics 2019-05-23 Parth Shah , Gauranga C. Samanta

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

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

When a Hamiltonian density is bounded by below, we know that the lowest-energy state must be stable. One is often tempted to reverse the theorem and therefore believe that an unbounded Hamiltonian density always implies an instability. The…

General Relativity and Quantum Cosmology · Physics 2023-12-08 Gilles Esposito-Farese

We calculate deviations in cosmological observables as a function of parameters in a class of connection-based models of quantum gravity. In this theory non-trivial modifications to the background cosmology can occur due to a distortion of…

Cosmology and Nongalactic Astrophysics · Physics 2023-02-01 Michael W. Toomey , Savvas Koushiappas , Bruno Alexandre , João Magueijo

We show that for Horndeski theories it is possible to derive mathematically compact consistency relations (CR) between physically observable quantities, valid for different classes of theories defined by the behavior of the brading function…

General Relativity and Quantum Cosmology · Physics 2025-10-03 Antonio Enea Romano

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 consider Horndeski cosmological models able to screen the vacuum energy coming from any field theory assuming that after this screening the space should be in a de Sitter vacuum with a particular value of the cosmological constant…

General Relativity and Quantum Cosmology · Physics 2015-04-15 Prado Martin-Moruno , Nelson J. Nunes , Francisco S. N. Lobo

We develop a thermodynamic formulation of Cotton gravity in the Codazzi parametrization, providing a general framework in which the gravitational dynamics can be interpreted in terms of horizon thermodynamics. As paradigmatic examples, we…

General Relativity and Quantum Cosmology · Physics 2026-05-13 Shayesteh Ghaffari , Giuseppe Gaetano Luciano , Carlo Alberto Mantica

In the quasistatic regime, generic modifications to gravity can give rise to novel scale-dependence of the gravitational field equations. Crucially, the detectability of the new scale-dependent terms hinges upon the existence of an…

Cosmology and Nongalactic Astrophysics · Physics 2014-12-17 Tessa Baker , Pedro G. Ferreira , C. Danielle Leonard , Mariele Motta

Theories of gravity in the beyond Horndeski class encompass a wide range of scalar-tensor theories that will be tested on cosmological scales over the coming decade. In this work, we investigate the possibility of testing them in the…

General Relativity and Quantum Cosmology · Physics 2017-03-15 Jeremy Sakstein , Eugeny Babichev , Kazuya Koyama , David Langlois , Ryo Saito

We construct gravitational modifications that go beyond Horndeski, namely theories with extended nonminimal derivative couplings, in which the coefficient functions depend not only on the scalar field but also on its kinetic energy. Such…

General Relativity and Quantum Cosmology · Physics 2017-03-01 Tiberiu Harko , Francisco S. N. Lobo , Emmanuel N. Saridakis , Minas Tsoukalas

We analyze the polarization content of gravitational waves in Horndeski theory. Besides the familiar plus and cross polarizations in Einstein's General Relativity, there is one more polarization state which is the mixture of the transverse…

General Relativity and Quantum Cosmology · Physics 2018-05-15 Shaoqi Hou , Yungui Gong , Yunqi Liu