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Adopting Noether point symmetries, we classify and integrate dynamical systems coming from Horndeski cosmologies. The method is particularly effective both to select the form of Horndeski models and to derive exact cosmological solutions.…

广义相对论与量子宇宙学 · 物理学 2018-07-04 Salvatore Capozziello , Konstantinos F. Dialektopoulos , Sergey V. Sushkov

We study the evolution of Bianchi-I space-times within the framework of the Horndeski theory with $G_5=\text{const}/X$. The space-times are filled a global unidirectional electromagnetic field interacting with a scalar field. We consider…

广义相对论与量子宇宙学 · 物理学 2024-07-26 Ruslan K. Muharlyamov , Tatiana N. Pankratyeva , Shehabaldeen O. A. Bashir

Horndeski gravity is a popular contender for a phenomenological model of dynamical dark energy, and as such subject to observational constraints. In this work, we ask whether Horndeski gravity can be more than a phenomenological model and…

广义相对论与量子宇宙学 · 物理学 2023-03-22 Astrid Eichhorn , Rafael R. Lino dos Santos , Fabian Wagner

We introduce a new class of Hardy spaces $H^{\varphi(\cdot,\cdot)}(\mathbb R^n)$, called Hardy spaces of Musielak-Orlicz type, which generalize the Hardy-Orlicz spaces of Janson and the weighted Hardy spaces of Garc\'ia-Cuerva, Str\"omberg,…

经典分析与常微分方程 · 数学 2013-11-13 Luong Dang Ky

This paper develops a renormalized perturbation theory framework for nonlinear structure formation in a broad class of modified gravity models that exhibit Vainshtein screening, with a focus on a viable subclass of Horndeski theories. We…

广义相对论与量子宇宙学 · 物理学 2025-08-29 Luca Amendola , Carla Bernal , Radouane Gannouji

We obtained a new class of exactly-solvable potentials by means of the hypergeometric equation for Schrodinger equation, which different from the exactly-solvable potentials introduced by Bose and Natanzon. Using the new class of solvable…

量子物理 · 物理学 2022-10-26 Wei Yang

We delve into the first-order thermodynamics of Horndeski gravity, focusing on spatially flat, homogeneous, and isotropic cosmologies. Our exploration begins with a comprehensive review of the effective fluid representation within viable…

广义相对论与量子宇宙学 · 物理学 2024-06-18 Marcello Miranda , Serena Giardino , Andrea Giusti , Lavinia Heisenberg

We constrain the viable models of Horndeski gravity, written in its equivalent Generalised Galileon version, by resorting to the Witten positive energy theorem. We find that the free function $G_3(\phi, X)$ in the Lagrangian is constrained…

广义相对论与量子宇宙学 · 物理学 2022-04-12 Cláudio Gomes , Orfeu Bertolami

In this paper, we show how the proper choice of gauge is critical in analyzing the stability of non-singular cosmological bounce solutions based on Horndeski theories. We show that it is possible to construct non-singular cosmological…

广义相对论与量子宇宙学 · 物理学 2018-02-07 Anna Ijjas

Recently we have derived a set of mapping relations that enables the reconstruction of the family of Horndeski scalar-tensor theories which reproduce the background dynamics and linear perturbations of a given set of effective field theory…

宇宙学与河外天体物理 · 物理学 2018-09-12 Joe Kennedy , Lucas Lombriser , Andy Taylor

We investigate the structure of nontrivial maximally symmetric vacua and compact-object solutions in shift-symmetric scalar-tensor theories. Focusing on Horndeski gravity, we derive consistency conditions directly from the field equations…

广义相对论与量子宇宙学 · 物理学 2026-01-30 Athanasios Bakopoulos , Christos Charmousis , Nikos Chatzifotis , Theodoros Nakas

We study a class of homogeneous but anisotropic cosmologies within the family of shift-symmetric Horndeski theories, where the scalar field features an inhomogeneous profile but it preserves a translational symmetry that is realised as a…

宇宙学与河外天体物理 · 物理学 2025-08-13 J. Bayron Orjuela-Quintana , Jose Beltrán Jiménez

In the present work, we study a subclass of Horndeski gravity characterized by a non-minimal derivative coupling between a scalar field and the Einstein tensor, as a possible alternative to alleviate the observational tension associated…

宇宙学与河外天体物理 · 物理学 2026-03-17 M. S. Oliveira , F. A. Brito , J. A. V. Campos

We consider a model of dark matter fluid based on a sector of Horndeski gravity. The model is very successful, at the background level, in reproducing the evolution of the Universe from early times to today. However, at the perturbative…

广义相对论与量子宇宙学 · 物理学 2019-01-10 Alessandro Casalino , Massimiliano Rinaldi

Within the framework of modified gravity (MG), the quasi-static (QS) and sub-horizon (SH) approximations are widely used in analyses aiming to identify departures from the concordance model at late-times. In general, it is assumed that time…

广义相对论与量子宇宙学 · 物理学 2023-08-15 J. Bayron Orjuela-Quintana , Savvas Nesseris

The gravitational wave event GW170817 together with its electromagnetic counterparts constrains the speed of gravity to be extremely close to that of light. We first show, on the example of an exact Schwarzschild-de Sitter solution of a…

广义相对论与量子宇宙学 · 物理学 2018-06-20 Eugeny Babichev , Christos Charmousis , Gilles Esposito-Farese , Antoine Lehébel

We study the effects of Horndeski models of dark energy on the observables of the large-scale structure in the late time universe. A novel classification into {\it Late dark energy}, {\it Early dark energy} and {\it Early modified gravity}…

宇宙学与河外天体物理 · 物理学 2017-02-10 Louis Perenon , Christian Marinoni , Federico Piazza

In the attempts toward a quantum gravity theory, general relativity faces a serious difficulty since it is non-renormalizable theory. Ho\v{r}ava-Lifshitz gravity offers a framework to circumvent this difficulty, by sacrificing the local…

宇宙学与河外天体物理 · 物理学 2013-08-21 J. B. Fonseca-Neto , A. Yu. Petrov , M. J. Reboucas

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…

广义相对论与量子宇宙学 · 物理学 2015-04-15 Prado Martin-Moruno , Nelson J. Nunes , Francisco S. N. Lobo

We find new classes of exact solutions to the Einstein-Maxwell system of equations for a charged sphere with a particular choice of the electric field intensity and one of the gravitational potentials. The condition of pressure isotropy is…

广义相对论与量子宇宙学 · 物理学 2009-03-19 K. Komathiraj , S. D. Maharaj