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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

Studying the effects of dark energy and modified gravity on cosmological scales has led to a great number of physical models being developed. The effective field theory (EFT) of cosmic acceleration allows an efficient exploration of this…

General Relativity and Quantum Cosmology · Physics 2017-11-01 Joe Kennedy , Lucas Lombriser , Andy Taylor

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 introduce a new class of scalar-tensor theories that extend Horndeski, or "generalized galileon", models. Despite possessing equations of motion of higher order in derivatives, we show that the true propagating degrees of freedom obey…

High Energy Physics - Theory · Physics 2015-06-03 Jérôme Gleyzes , David Langlois , Federico Piazza , Filippo Vernizzi

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…

Cosmology and Nongalactic Astrophysics · Physics 2018-09-12 Joe Kennedy , Lucas Lombriser , Andy Taylor

In modified gravity, the one-loop matter power spectrum exhibits an ultraviolet divergence as shown in the framework of the degenerate higher-order scalar-tensor theory. To address this problem, we extend the effective field theory of large…

General Relativity and Quantum Cosmology · Physics 2022-10-04 Shin'ichi Hirano , Tomohiro Fujita

In this paper we revisit the dynamical dark energy model building based on single scalar field involving higher derivative terms. By imposing a degenerate condition on the higher derivatives in curved spacetime, one can select the models…

High Energy Physics - Theory · Physics 2015-06-03 Mingzhe Li , Taotao Qiu , Yifu Cai , Xinmin Zhang

We consider a subclass of degenerate higher-order scalar-tensor (DHOST) theories in which gravitational waves propagate at the speed of light and do not decay into scalar fluctuations. The screening mechanism in DHOST theories evading these…

General Relativity and Quantum Cosmology · Physics 2019-06-05 Shin'ichi Hirano , Tsutomu Kobayashi , Daisuke Yamauchi

We generalize the known equivalence between higher order gravity theories and scalar tensor theories to a new class of theories. Specifically, in the context of a first order or Palatini variational principle where the metric and connection…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Eanna E. Flanagan

Determining the most general, consistent scalar tensor theory of gravity is important for building models of inflation and dark energy. In this work we investigate the number of degrees of freedom present in the theory of beyond Horndeski.…

High Energy Physics - Theory · Physics 2016-03-23 Marco Crisostomi , Matthew Hull , Kazuya Koyama , Gianmassimo Tasinato

We propose a universal description of dark energy and modified gravity that includes all single-field models. By extending a formalism previously applied to inflation, we consider the metric universally coupled to matter fields and we write…

High Energy Physics - Theory · Physics 2015-06-11 Giulia Gubitosi , Federico Piazza , Filippo Vernizzi

Scalar-tensor theories are promising dark energy models. A promising scalar-tensor theory, called Horndeski-like gravity, is coming from the application of the Horndeski gravity in string theory and cosmology that takes into account two…

General Relativity and Quantum Cosmology · Physics 2025-03-18 Dani de Boe , Fabiano F. Santos , Jackson Levi Said

We consider a class of modified gravity models where the terms added to the standard Einstein-Hilbert Lagrangian are just a function of the metric only. For linearized perturbations around an isotropic space-time, this class of models is…

Cosmology and Nongalactic Astrophysics · Physics 2013-10-30 Richard A. Battye , Jonathan A. Pearson

The Hamiltonian formalism of the generalized unimodular gravity theory, which was recently suggested as a model of dark energy, is shown to be a complicated example of constrained dynamical system. The set of its canonical constraints has a…

High Energy Physics - Theory · Physics 2019-08-07 A. O. Barvinsky , N. Kolganov , A. Kurov , D. Nesterov

We consider, in Minkowski spacetime, higher-order Maxwell Lagrangians with terms quadratic in the derivatives of the field strength tensor, and study their degrees of freedom. Using a 3+1 decomposition of these Lagrangians, we extract the…

General Relativity and Quantum Cosmology · Physics 2024-04-30 Aimeric Colléaux , David Langlois , Karim Noui

We propose a novel class of degenerate higher-order scalar-tensor theories as an extension of mimetic gravity. By performing a noninvertible conformal transformation on "seed" scalar-tensor theories which may be nondegenerate, we can…

General Relativity and Quantum Cosmology · Physics 2017-11-27 Kazufumi Takahashi , Tsutomu Kobayashi

Among the Scalar-Tensor modified theories of gravity, DHOST models could play a special role for dark energy while being consistent with current observations, notably those constraining the speed of gravitational waves. Schwarzschild-de…

High Energy Physics - Theory · Physics 2020-01-08 Claudia de Rham , Jun Zhang

The almost simultaneous detection of gravitational waves and a short gamma-ray burst from a neutron star merger has put a tight constraint on the difference between the speed of gravity and light. In the four-dimensional scalar-tensor…

Cosmology and Nongalactic Astrophysics · Physics 2018-01-17 Marco Crisostomi , Kazuya Koyama

In light of upcoming observations modelling perturbations in dark energy and modified gravity models has become an important topic of research. We develop an effective action to construct the components of the perturbed dark energy momentum…

High Energy Physics - Theory · Physics 2015-06-04 Richard A. Battye , Jonathan A. Pearson

Invertible disformal transformations are a useful tool to investigate ghost-free scalar-tensor theories. By performing a higher-derivative generalization of the invertible disformal transformation on Horndeski theories, we construct a novel…

General Relativity and Quantum Cosmology · Physics 2023-01-16 Kazufumi Takahashi , Masato Minamitsuji , Hayato Motohashi