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We have recently proposed a new class of gravitational scalar-tensor theories free from Ostrogradski instabilities, in arXiv:1404.6495. As they generalize Horndeski theories, or "generalized" galileons, we call them G$^3$. These theories…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-22 Jérôme Gleyzes , David Langlois , Federico Piazza , Filippo Vernizzi

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 consider conformal field theories with central charges $(c,{\overline c})=(1,1)$ that are invariant under the exchange of the holomorphic and antiholomorphic sectors, in both bosonic and fermionic realizations that are meaningful for…

High Energy Physics - Theory · Physics 2026-01-13 Federico L. Bottesi , Guillermo R. Zemba

The importance of the first-class constraint algebra of general relativity is not limited just by its self-contained description of the gauge nature of spacetime, but it also provides conditions to properly evolve the geometry by selecting…

General Relativity and Quantum Cosmology · Physics 2017-11-15 José Tomás Gálvez Ghersi , Michael J. Desrochers , Mason Protter , Andrew DeBenedictis

We investigate in detail a new class (GOOFy) of transformations for bosonic and fermionic fields that leave the Lagrangian density unchanged. The transformations act upon complex scalar fields \Phi and \Phi^\dagger employing generalized…

High Energy Physics - Phenomenology · Physics 2026-02-25 Bohdan Grzadkowski , Odd Magne Ogreid

A new class of modified gravity theories with a healthy higher order derivative terms of a function of the matter Lagrangian $f(L_m)$ is considered. Generally the energy momentum tensor is not conserved, leading to the fifth force similar…

General Relativity and Quantum Cosmology · Physics 2021-04-19 Zahra Haghani , Shahab Shahidi

Motivated by the GW170817/GRB170817A constraint on the deviation of the speed of gravitational waves from that of photons, we study disformal transformations of the metric in the context of the generalized Proca theory. The constraint…

General Relativity and Quantum Cosmology · Physics 2018-09-26 Guillem Domènech , Shinji Mukohyama , Ryo Namba , Vassilis Papadopoulos

We will consider the torsional completion of gravity for a background filled with Dirac matter fields, studying what happens when fermionic non-minimal coupling is taken into account: we will show that, although non-minimal couplings are…

General Relativity and Quantum Cosmology · Physics 2014-10-06 Luca Fabbri , Stefano Vignolo , Sante Carloni

We generalize the basic theory of mimetic gravity by extending its purview to the general metric-compatible geometries that admit torsion, in addition to curvature. This essentially implies reinstating the mimetic principle of isolating the…

General Relativity and Quantum Cosmology · Physics 2025-04-02 Hiyang Ramo Chothe , Ashim Dutta , Sourav Sur

In this paper, we extend Horndeski's theory into the Palatini approach, assuming that the metric tensor and the (symmetric) connection are a priori independent objects. We introduce an additional transformation of the connection and write…

General Relativity and Quantum Cosmology · Physics 2026-03-10 Aleksander Kozak

Invertible disformal transformations serve as a useful tool to explore ghost-free scalar-tensor theories. In this paper, we construct a generalization of invertible disformal transformations that involves arbitrary higher-order covariant…

General Relativity and Quantum Cosmology · Physics 2023-10-19 Kazufumi Takahashi

We investigate the gauge-invariant cosmological perturbations in the gravity and matter frames in the general scalar-tensor theory where two frames are related by the disformal transformation. The gravity and matter frames are the…

Cosmology and Nongalactic Astrophysics · Physics 2014-09-05 Masato Minamitsuji

We study disformal transformations in the context of scalar extensions to teleparallel gravity, in which the gravitational interaction is mediated by the torsion of a flat, metric compatible connection. We find a generic class of…

General Relativity and Quantum Cosmology · Physics 2019-10-02 Manuel Hohmann

It has long been demonstrated that the vacuum scalar-tensor theory in the Jordan-frame Brans-Dicke parametrization is form-invariant under conformal transformations, provided that a suitable transformation of the coupling parameter $\omega$…

General Relativity and Quantum Cosmology · Physics 2026-04-20 Israel Quiros , Amit Kumar Rao

We present a novel theory of gravity by considering an extension of symmetric teleparallel gravity. This is done by introducing, in the framework of the metric-affine formalism, a new class of theories where the nonmetricity $Q$ is…

General Relativity and Quantum Cosmology · Physics 2018-10-31 Tiberiu Harko , Tomi S. Koivisto , Francisco S. N. Lobo , Gonzalo J. Olmo , Diego Rubiera-Garcia

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

In this thesis, I investigate how to construct a self-consistent model of deformed general relativity using canonical methods and metric variables. The specific deformation of general covariance is predicted by some studies into loop…

General Relativity and Quantum Cosmology · Physics 2019-10-07 Rhiannon Cuttell

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 classify higher-order Maxwell-Einstein theories linear in the curvature tensor and quadratic in the derivatives of the electromagnetic field strength whose kinetic matrices are degenerate. This provides a generalisation of quadratic…

General Relativity and Quantum Cosmology · Physics 2025-08-26 Aimeric Colléaux , Karim Noui

The canonical scalar-tensor theory model which exhibits spontaneous scalarization in the strong-gravity regime of neutron stars has long been known to predict a cosmological evolution for the scalar field which generically results in severe…

General Relativity and Quantum Cosmology · Physics 2019-11-11 Hector O. Silva , Masato Minamitsuji