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Newtons second law, Schrodingers equation and Maxwells equations are all theories composed of at most second-time derivatives. Indeed, it is not often we need to take the time derivative of the acceleration. So why are we not seeing more…

Classical Physics · Physics 2022-11-29 Eleonora Svanberg

We review the fundamentals and highlight the differences between some commonly used definitions for the PPN gamma parameter ($\gamma$) and the gravitational slip ($\eta$). Here we stress the usefulness of a gamma-like parameter used by…

General Relativity and Quantum Cosmology · Physics 2021-08-10 Júnior D. Toniato , Davi C. Rodrigues

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 implications of string Swampland criteria for alternative theories of gravity. Even though this has not rigorously been proven, there is some evidence that exact de-Sitter solutions with a positive cosmological constant…

High Energy Physics - Theory · Physics 2019-08-02 Lavinia Heisenberg , Matthias Bartelmann , Robert Brandenberger , Alexandre Refregier

Horndeski theory is the most general scalar-tensor theory retaining second-order field equations, although the action includes higher-order terms. This is achieved by a special choice of coupling constants. In this paper, we investigate…

General Relativity and Quantum Cosmology · Physics 2020-01-01 Qi-Ming Fu , Hao Yu , Li Zhao , Yu-Xiao Liu

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

We determine the conditions for which the constraints from lunar laser ranging on the time evolution of the local gravitational constant can be extrapolated to impose constraints on the time evolution of the cosmological gravitational…

Cosmology and Nongalactic Astrophysics · Physics 2020-08-13 Clare Burrage , Johannes Dombrowski

In a recent paper, Erik Verlinde has developed the interesting possibility that spacetime and gravity may emerge from the entangled structure of an underlying microscopic theory. In this picture, dark matter arises as a response to the…

Cosmology and Nongalactic Astrophysics · Physics 2018-06-20 Alberto Diez-Tejedor , Alma X. Gonzalez-Morales , Gustavo Niz

In gravity theories derived from a f(R) Lagrangian, matter is usually supposed to be minimally coupled to the metric, which hence defines a ``Jordan frame.'' However, since the field equations are fourth order, gravity possesses an extra…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Nathalie Deruelle , Misao Sasaki , Yuuiti Sendouda

Ultralight particles, with a mass below the electronvolt scale, exhibit wave-like behavior and have arisen as a compelling dark matter candidate. A particularly intriguing subclass is scalar dark matter, which induces variations in…

High Energy Physics - Phenomenology · Physics 2026-02-10 Xucheng Gan , Da Liu , Di Liu , Xuheng Luo , Bingrong Yu

We study matter density perturbations up to third order and the one-loop matter power spectrum in degenerate higher-order scalar-tensor (DHOST) theories beyond Horndeski. We systematically solve gravitational field equations and fluid…

General Relativity and Quantum Cosmology · Physics 2020-11-11 Shin'ichi Hirano , Tsutomu Kobayashi , Daisuke Yamauchi , Shuichiro Yokoyama

We use growth of structure data to constrain the effective field theory of dark energy. Considering as case study Horndeski theories with the speed of gravitational waves equal to that of light, we show how constraints on the free…

Cosmology and Nongalactic Astrophysics · Physics 2019-06-14 Louis Perenon , Julien Bel , Roy Maartens , Alvaro de la Cruz-Dombriz

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

We present all scalar-tensor Lagrangians that are cubic in second derivatives of a scalar field, and that are degenerate, hence avoiding Ostrogradsky instabilities. Thanks to the existence of constraints, they propagate no more than three…

High Energy Physics - Theory · Physics 2016-12-23 Jibril Ben Achour , Marco Crisostomi , Kazuya Koyama , David Langlois , Karim Noui , Gianmassimo Tasinato

We study the cosmological evolution of a scalar field in Horndeski gravity, assuming that the scalar field is subdominant with respect to the cosmic fluid. We first analyse the most general shift-symmetric action that respects local Lorentz…

General Relativity and Quantum Cosmology · Physics 2020-04-08 Nicola Franchini , Thomas P. Sotiriou

Gravitational waves are excellent tools to probe the foundations of General Relativity in the strongly dynamical and non-linear regime. One such foundation is Lorentz symmetry, which can be broken in the gravitational sector by the…

General Relativity and Quantum Cosmology · Physics 2015-05-27 Devin Hansen , Nicolas Yunes , Kent Yagi

We have previously presented a reconstruction of Horndeski scalar-tensor theories from linear cosmological observables. It includes free nonlinear terms which can be added onto the reconstructed covariant theory without affecting the…

General Relativity and Quantum Cosmology · Physics 2019-08-21 Joe Kennedy , Lucas Lombriser , Andy Taylor

The discovery of the electromagnetic counterpart to GW170817 severely constrains the tensor mode propagation speed, eliminating a large model space of Horndeski theory. We use the cosmic microwave background data from Planck and the joint…

Cosmology and Nongalactic Astrophysics · Physics 2019-01-28 C. D. Kreisch , E. Komatsu

We conjecture a general upper bound on the strength of gravity relative to gauge forces in quantum gravity. This implies, in particular, that in a four-dimensional theory with gravity and a U(1) gauge field with gauge coupling g, there is a…

High Energy Physics - Theory · Physics 2010-04-06 Nima Arkani-Hamed , Lubos Motl , Alberto Nicolis , Cumrun Vafa

We consider the possibility of energy being exchanged between the scalar and matter fields in scalar-tensor theories of gravity. Such an exchange provides a new mechanism which can drive variations in the gravitational 'constant' G. We find…

General Relativity and Quantum Cosmology · Physics 2009-01-14 T. Clifton , John D. Barrow
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