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We study the late cosmological evolution, from the nonrelativistic matter dominated era to the dark energy era, in modified gravity models described by Degenerate Higher-Order Scalar-Tensor (DHOST) theories. They represent the most general…

Cosmology and Nongalactic Astrophysics · Physics 2020-07-15 Hamza Boumaza , David Langlois , Karim Noui

With the continuous upgrade of detectors, more and more gravitational wave (GW) events were captured by the LIGO Scientific Collaboration and Virgo Collaboration (LVC), which offers a new avenue to test General Relativity and explore the…

General Relativity and Quantum Cosmology · Physics 2021-11-17 Rui Niu , Xing Zhang , Bo Wang , Wen Zhao

This contribution reviews scalar-tensor theories whose Lagrangian contains second-order derivatives of a scalar field but nevertheless propagate only one scalar mode (in addition to the usual two tensor modes), and are thus not plagued with…

General Relativity and Quantum Cosmology · Physics 2018-03-05 David Langlois

The Horndeski theories are extended into the Lovelock gravity theory. When the canonical scalar field is uniquely kinetically coupled to the Lovelock tensors, it is named after Lovelock scalar field. The Lovelock scalar field model is a…

General Relativity and Quantum Cosmology · Physics 2018-05-18 Changjun Gao

The reason for the present accelerated expansion of the Universe stands as one of the most profound questions in the realm of science, with deep connections to both cosmology and fundamental physics. From a cosmological point of view,…

General Relativity and Quantum Cosmology · Physics 2024-08-22 Peixiang Ji , Lijing Shao

The scalar-tensor theories have become popular recently in particular in connection with attempts to explain present accelerated expansion of the universe, but they have been considered as a natural extension of general relativity long time…

General Relativity and Quantum Cosmology · Physics 2018-04-09 Josef Schmidt , Jiří Bičák

We derive exact Friedmann--Robertson--Walker cosmological solutions in general scalar--tensor gravity theories, including Brans--Dicke gravity, for stiff matter or radiation. These correspond to the long or short wavelength modes…

General Relativity and Quantum Cosmology · Physics 2011-08-11 Jose P. Mimoso , David Wands

We show how the scalar field, a candidate of quintessence, in a proposed model of the scalar-tensor theories of gravity provides a way to understand a small but nonzero cosmological constant as indicated by recent observations. A particular…

General Relativity and Quantum Cosmology · Physics 2009-09-25 Yasunori Fujii

The Horndeski action is the most general one involving a metric and a scalar field that leads to second order field equations in four dimensions. Being the natural extension of the well known Scalar-Tensor theories, its structure and…

General Relativity and Quantum Cosmology · Physics 2013-10-22 Dario Bettoni , Stefano Liberati

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

Gravitation and the standard model of particle physics are incorporated within a single conformal scalar-tensor theory, where the scalar field is complex. The Higgs field has a dynamical expectation value, as has the Planck mass, but the…

General Relativity and Quantum Cosmology · Physics 2017-03-24 Meir Shimon

The most general covariant action describing gravity coupled to a scalar field with only second order equations of motion, Horndeski's theory (also known as "Generalized Galileons"), provides an all-encompassing model in which single scalar…

Cosmology and Nongalactic Astrophysics · Physics 2014-03-24 Jolyon Bloomfield

The scalar-tensor theory of gravitation has been and still is one of the most widely discussed "alternative theories" to General Relativity (GR). Despite nearly half a century of its age, it continues to attract renewed interests of not…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Yasunori Fujii

We analyze the qualitative behaviors of scalar-tensor cosmologies with an arbitrary monotonic $\omega(\Phi)$ function. In particular, we are interested on scalar-tensor theories distinguishable at early epochs from General Relativity (GR)…

Astrophysics · Physics 2009-10-28 Arturo Serna , Jean-Michel Alimi

We study the phenomenology of the beyond Horndeski class of scalar-tensor theories of gravity, which on cosmological scales can be characterised in terms of one extra function of time, $\alpha_{\rm H}$, as well as the usual four Horndeski…

Cosmology and Nongalactic Astrophysics · Physics 2019-09-04 Dina Traykova , Emilio Bellini , Pedro G. Ferreira

In the present article we study the cosmological evolution of a two-scalar field gravitational theory defined in the Jordan frame. Specifically, we assume one of the scalar fields to be minimally coupled to gravity, while the second field…

General Relativity and Quantum Cosmology · Physics 2020-03-18 Alex Giacomini , Genly Leon , Andronikos Paliathanasis , Supriya Pan

It is shown that a Brans-Dicke scalar-tensor gravitational theory, which also includes Bekenstein's kind of interaction between the Maxwell and scalar fields, has a particular kind of solutions with highly enhanced gravitational effects as…

General Relativity and Quantum Cosmology · Physics 2011-12-22 F. O. Minotti

We consider all degenerate scalar-tensor theories that depend quadratically on second order derivatives of a scalar field, which we have identified in a previous work. These theories, whose degeneracy in general ensures the absence of…

General Relativity and Quantum Cosmology · Physics 2016-06-22 Jibril Ben Achour , David Langlois , Karim Noui

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…

Cosmology and Nongalactic Astrophysics · Physics 2025-08-13 J. Bayron Orjuela-Quintana , Jose Beltrán Jiménez

The new manifestation of conformal invariance for a massless scalar particle in a Riemannian spacetime of general relativity is found. Conformal transformations conserve the Hamiltonian and wave function in the Foldy-Wouthuysen…

Mathematical Physics · Physics 2013-08-07 Alexander J. Silenko