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Since the rediscovery of Horndeski gravity, a lot of work has been devoted to the exploration of its properties, especially in the context of dark energy. However, one sector of this theory, namely the one containing the coupling of the…

General Relativity and Quantum Cosmology · Physics 2017-03-02 Massimiliano Rinaldi

We discuss two spherically symmetric solutions admitted by the Horndeski (or scalar tensor) theory in the context of solar system and astrophysical scenarios. One of these solutions is derived for Einstein-Gauss-Bonnet gravity, while the…

General Relativity and Quantum Cosmology · Physics 2017-02-28 Sourav Bhattacharya , Sumanta Chakraborty

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…

Cosmology and Nongalactic Astrophysics · Physics 2026-03-17 M. S. Oliveira , F. A. Brito , J. A. V. Campos

We consider a scalar-tensor theory of gravitation with the scalar source being the trace of the stress-energy tensor of the scalar field itself and matter. We obtain an example of a numerical solution of the cosmological equations which…

General Relativity and Quantum Cosmology · Physics 2016-10-05 I. G. Dudko , Yu. P. Vyblyi

Scalar-tensor theories have shown promise in many sectors of cosmology. However, recent constraints from the speed of gravitational waves have put severe limits on the breadth of models such classes of theories can realize. In this work, we…

General Relativity and Quantum Cosmology · Physics 2025-05-06 Fabiano F. Santos , Jackson Levi Said

We investigate gravitational waves with an arbitrary potential within the framework of linearized Horndeski theory. We show that the minimum of the potential can play the role of an effective cosmological constant in this theory, which is…

General Relativity and Quantum Cosmology · Physics 2026-03-17 Hatice Özer , Özgür Delice

We investigate the radiative stability of Horndeski scalar-tensor theories with luminally propagating gravitational waves (as extensively discussed in the wake of GW170817) and show that in general there is a tension between obtaining…

Cosmology and Nongalactic Astrophysics · Physics 2020-11-25 Johannes Noller , Andrina Nicola

Horndeski gravities are theories of gravity coupled to a scalar field, in which the action contains an additional non-minimal quadratic coupling of the scalar, through its first derivative, to the Einstein tensor or the analogous…

High Energy Physics - Theory · Physics 2016-01-27 Xing-Hui Feng , Hai-Shan Liu , H. Lü , C. N. Pope

We study the motion of particles in the background of a scalar-tensor theory of gravity in which the scalar field is kinetically coupled to the Einstein tensor and we present the null geodesic structure for asymptotically flat, AdS, and dS…

General Relativity and Quantum Cosmology · Physics 2025-08-15 D. A. Carvajal , P. A. González , Marco Olivares , Eleftherios Papantonopoulos , Yerko Vásquez

In shift-symmetric Horndeski theories, a static and spherically symmetric black hole can support linearly time-dependent scalar hair. However, it was shown that such a solution generically suffers from ghost or gradient instability in the…

General Relativity and Quantum Cosmology · Physics 2017-08-22 Daria A. Tretyakova , Kazufumi Takahashi

Considering an anisotropic cosmological background is an interesting and simultaneously challenging problem of theoretical physics, since we not only assume a high degree of anisotropy in the early stages of the Universe, but also observe…

General Relativity and Quantum Cosmology · Physics 2024-03-27 S. Mironov , A. Shtennikova

Horndeski theory constitutes the most general model of scalar-tensor theories. It has attracted much attention in recent years in relation with black holes, celestial dynamics, stability analysis, etc. It is important to note that, for…

General Relativity and Quantum Cosmology · Physics 2024-07-16 Chao Zhang , Tao Zhu

Scalar fields have played an important role in the development of the fundamental theories of physics as well as in other branches of physics such as gravitation and cosmology. For a long time these escaped detection until 2012 year when…

General Relativity and Quantum Cosmology · Physics 2019-05-29 Israel Quiros

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 recent observations of neutron star mergers have changed our perspective on scalar- tensor theories of gravity, favouring models where gravitational waves travel at the speed of light. In this work we consider a scalar-tensor set-up…

General Relativity and Quantum Cosmology · Physics 2018-08-15 Javier Chagoya , Gianmassimo Tasinato

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

Future observations of the large-scale structure have the potential to investigate cosmological models with a high degree of complexity, including the properties of gravity on large scales, the presence of a complicated dark energy…

Cosmology and Nongalactic Astrophysics · Physics 2019-02-26 Robert Reischke , Alessio Spurio Mancini , Björn Malte Schäfer , Philipp M. Merkel

We study spherically symmetric solutions with a scalar field in the shift-symmetric subclass of the Horndeski theory. Constructing an effective energy-momentum tensor of the scalar field based on the two-fluid model, we decompose the scalar…

General Relativity and Quantum Cosmology · Physics 2020-10-13 Jiaming Shi , Taishi Katsuragawa , Taotao Qiu

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

A general framework for effective theories propagating two tensor and one scalar degrees of freedom is investigated. Geometrically, it describes dynamical foliation of spacelike hypersurfaces coupled to a general background, in which the…

General Relativity and Quantum Cosmology · Physics 2014-10-29 Xian Gao
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