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Phenomenological functions $\Sigma$ and $\mu$, also known as $G_{\rm light}/G$ and $G_{\rm matter}/G$, are commonly used to parameterize modifications of the growth of large-scale structure in alternative theories of gravity. We study the…

Cosmology and Nongalactic Astrophysics · Physics 2018-02-21 Simone Peirone , Kazuya Koyama , Levon Pogosian , Marco Raveri , Alessandra Silvestri

We investigate sufficient conditions under which cubic gravity is healthy and viable at the perturbation level. We perform a detailed analysis of the scalar and tensor perturbations. We impose the requirement that the two scalar potentials,…

General Relativity and Quantum Cosmology · Physics 2024-02-19 Petros Asimakis , Spyros Basilakos , Emmanuel N. Saridakis

The Beyond Horndeski class of alternative gravity theories allow for Self-accelerating de-Sitter cosmologies with no need for a cosmological constant. This makes them viable alternatives to $\Lambda$CDM and so testing their small-scale…

Cosmology and Nongalactic Astrophysics · Physics 2016-11-08 Jeremy Sakstein , Harry Wilcox , David Bacon , Kazuya Koyama , Robert C. Nichol

Horndeski gravity holds a special position as the most general extension of Einstein's theory of general relativity with a single scalar degree of freedom and second-order field equations. Because of these features, Horndeski gravity is an…

General Relativity and Quantum Cosmology · Physics 2016-06-23 Hector O. Silva , Andrea Maselli , Masato Minamitsuji , Emanuele Berti

We study secondary gravitational wave production in Horndenski gravity, when the scalar field dominates the very early universe. We find that higher derivative interactions easily dominate the source term on subhorizon scales and…

General Relativity and Quantum Cosmology · Physics 2024-07-01 Guillem Domènech , Alexander Ganz

Horndeski gravity is the most general scalar tensor theory, with a single scalar field, leading to second order field equations and after the GW170817 it has been severely constrained. In this paper, we study the analogue of Horndeski's…

General Relativity and Quantum Cosmology · Physics 2019-09-12 Sebastian Bahamonde , Konstantinos F. Dialektopoulos , Jackson Levi Said

Dark energy may be the first sign of new fundamental physics in the Universe, taking either a physical form or revealing a correction to Einsteinian gravity. Weak gravitational lensing and galaxy peculiar velocities provide complementary…

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

In this paper, we consider a gravitational action containing a combination of the Ricci scalar, $R$, and the topological Gauss--Bonnet term, $G$. Specifically, we study the cosmological features of a particular class of modified gravity…

General Relativity and Quantum Cosmology · Physics 2023-03-15 Francesco Bajardi , Rocco D'Agostino

We explore the phenomenological consequences of general late-time modifications of gravity in the quasi-static approximation, in the case where cold dark matter is non-minimally coupled to the gravitational sector. Assuming spectroscopic…

Cosmology and Nongalactic Astrophysics · Physics 2016-03-16 Jérôme Gleyzes , David Langlois , Michele Mancarella , Filippo Vernizzi

We show that the gravitational waves generated by the perturbations of general relativistic black holes can be considered as a direct probe of the existence of dark sector interactions. Working within the framework of Horndeski theory and…

General Relativity and Quantum Cosmology · Physics 2021-07-30 Reginald Christian Bernardo

We study the effect of adding an interaction in the $G_3$ term of Horndeski theory, where the propagation of gravitational waves are not modified. We derive the background and perturbation equations of motion from the action. We also derive…

General Relativity and Quantum Cosmology · Physics 2024-11-11 Masroor C. Pookkillath , Nandan Roy

Gravitational wave (GW) astronomy has opened a new window on the Universe, allowing to obtain constraints on dark energy and gravity independent from other electromagnetic waves observations, such as large scale structure (LSS). For the…

General Relativity and Quantum Cosmology · Physics 2026-05-19 Antonio Enea Romano , Juan Manuel Cardenas Mancipe

General Relativity (GR) is consistent with a wide range of experiments/observations from millimeter scales up to galactic scales and beyond. However, there are reasons to believe that GR may need to be modified because it includes…

General Relativity and Quantum Cosmology · Physics 2019-07-17 Leandros Perivolaropoulos , Lavrentios Kazantzidis

The linearized Einstein theory in the approximately flat time-space is modified accounting for a massive graviton as a dark matter in the universe. On the basis of magnetic-type Maxwell- Proca -Vlasov equations, the interactions of the…

Plasma Physics · Physics 2013-06-05 Xiao-qing Li

We investigate the linear cosmological perturbations in the context of the so-called energy-momentum squared gravity (EMSG) theory. Recent researches show that the EMSG theory can reproduce viable background cosmological evolution…

Cosmology and Nongalactic Astrophysics · Physics 2025-02-17 Qi-Ming Fu , Xin Zhang

In the approach of the effective field theory of modified gravity, we derive the second-order action and the equation of motion for tensor perturbations on the flat isotropic cosmological background. This analysis accommodates a wide range…

High Energy Physics - Theory · Physics 2015-05-27 Antonio De Felice , Shinji Tsujikawa

Starting from the weak field limit, we discuss astrophysical applications of Extended Theories of Gravity where higher order curvature invariants and scalar fields are considered by generalizing the Hilbert-Einstein action linear in the…

General Relativity and Quantum Cosmology · Physics 2015-02-25 A. Stabile , S. Capozziello

The Horndeski gauge-gravity coupling is the leading non-minimal interaction between gravity and gauge bosons, and it preserves all the symmetries and the number of physical degrees of freedom of the standard model of particle physics and…

Cosmology and Nongalactic Astrophysics · Physics 2021-04-27 Alireza Allahyari , Mohammad Ali Gorji , Shinji Mukohyama

We explore general scalar-tensor models in the presence of a kinetic mixing between matter and the scalar field, which we call Kinetic Matter Mixing. In the frame where gravity is de-mixed from the scalar this is due to disformal couplings…

Cosmology and Nongalactic Astrophysics · Physics 2017-02-15 Guido D'Amico , Zhiqi Huang , Michele Mancarella , Filippo Vernizzi