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Disformal theories of gravity are scalar-tensor theories where the scalar couples derivatively to matter via the Jordan frame metric. These models have recently attracted interest in the cosmological context since they admit accelerating…

General Relativity and Quantum Cosmology · Physics 2015-11-04 Hiu Yan Ip , Jeremy Sakstein , Fabian Schmidt

This paper is concerned with theories of gravity that contain a scalar coupled both conformally and disformally to matter through the metric. By systematically deriving the non-relativistic limit, it is shown that no new non-linear…

Cosmology and Nongalactic Astrophysics · Physics 2014-12-10 Jeremy Sakstein

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

Generic models in Galileons or Horndeski theory do not have cosmological solutions that are free of instabilities and singularities in the entire time of evolution. We extend this No-Go theorem to a spacetime with torsion. On this more…

High Energy Physics - Theory · Physics 2024-07-22 S. Mironov , M. Valencia-Villegas

Higher derivative scalar interactions can give rise to interesting cosmological scenarios. We present a complete classification of such operators that can yield sizeable effects without introducing ghosts and, at the same time, define an…

High Energy Physics - Theory · Physics 2018-08-22 Luca Santoni , Enrico Trincherini , Leonardo G. Trombetta

Disformal transformation is a generalisation of the well-known conformal transformation commonly elaborated in mainstream graduate texts in gravity (relativity) and modern cosmology. This transformation is one of the most important…

General Relativity and Quantum Cosmology · Physics 2024-01-23 Allan L. Alinea

Horndeski gravity is the most general scalar-tensor theory with one scalar field leading to second-order Euler-Lagrange field equations for the metric and scalar field, and it is based on Riemannian geometry. In this paper, we formulate an…

General Relativity and Quantum Cosmology · Physics 2023-05-10 Sebastian Bahamonde , Georg Trenkler , Leonardo G. Trombetta , Masahide Yamaguchi

The late-time cosmological dynamics of disformal gravity are investigated using dynamical systems methods. It is shown that in the general case there are no stable attractors that screen fifth-forces locally and simultaneously describe a…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-23 Jeremy Sakstein

We study perturbation theory for large-scale structure in the most general scalar-tensor theories propagating a single scalar degree of freedom, which include Horndeski theories and beyond. We model the parameter space using the effective…

Cosmology and Nongalactic Astrophysics · Physics 2020-06-09 Marco Crisostomi , Matthew Lewandowski , Filippo Vernizzi

We consider the issue of stability at the linearized level for static, spherically symmetric wormhole solutions within a subclass of scalar-tensor theories of beyond Horndeski type. In this class of theories we derive a set of stability…

General Relativity and Quantum Cosmology · Physics 2023-06-14 S. Mironov , V. Rubakov , V. Volkova

A metric transformation is a tool to find a new theory of gravity beyond general relativity. The gravity action is guaranteed to be free from a dangerous Ostrogradsky mode as long as the metric transformation is regular and invertible.…

General Relativity and Quantum Cosmology · Physics 2023-08-07 Atsushi Naruko , Ryo Saito , Norihiro Tanahashi , Daisuke Yamauchi

We study new classes of metric transformations in the context of scalar-tensor theories, which involve both higher derivatives of the scalar field and derivatives of the metric itself. In general, such transformations are not invertible as…

General Relativity and Quantum Cosmology · Physics 2025-03-03 Eugeny Babichev , Keisuke Izumi , Karim Noui , Norihiro Tanahashi , Masahide Yamaguchi

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

The extended scalar-tensor and vector-tensor theories admit black hole solutions with the nontrivial profiles of the scalar and vector fields, respectively. The disformal transformation maps a solution in a class of the scalar-tensor or…

General Relativity and Quantum Cosmology · Physics 2020-12-29 Masato Minamitsuji

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

We study a higher order conformally coupled scalar tensor theory endowed with a covariant geometric constraint relating the scalar curvature with the Gauss-Bonnet scalar. It is a particular Horndeski theory including a canonical kinetic…

General Relativity and Quantum Cosmology · Physics 2022-10-05 Eugeny Babichev , Christos Charmousis , Mokhtar Hassaine , Nicolas Lecoeur

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…

General Relativity and Quantum Cosmology · Physics 2024-06-18 Marcello Miranda , Serena Giardino , Andrea Giusti , Lavinia Heisenberg

Phenomenological functions $\Sigma$ and $\mu$ (also known as $G_{\rm light}/G$ and $G_{\rm matter}/G$) are commonly used to parameterize possible modifications of the Poisson equation relating the matter density contrast to the lensing and…

Cosmology and Nongalactic Astrophysics · Physics 2016-11-15 Levon Pogosian , Alessandra Silvestri

The approach to incorporate quantum effects in gravity by replacing free particle geodesics with Bohmian non-geodesic trajectories has an equivalent description in terms of a conformally related geometry, where the motion is force free,…

General Relativity and Quantum Cosmology · Physics 2021-11-10 Sandip Chowdhury , Kunal Pal , Kuntal Pal , Tapobrata Sarkar

Teleparallel Horndeski theory offers an avenue through which to circumvent the speed constraint of gravitational waves in an efficient manner. However, this provides an even larger plethora of models due to the increase in action terms. In…

General Relativity and Quantum Cosmology · Physics 2022-03-30 Konstantinos F. Dialektopoulos , Jackson Levi Said , Zinovia Oikonomopoulou