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Related papers: Derivative couplings in massive bigravity

200 papers

We consider a recently proposed non-minimal matter coupling in massive gravity and multi-gravity. We argue that, when formulated in terms of unconstrained vielbeins, this matter coupling contains the primary constraints necessary to remove…

High Energy Physics - Theory · Physics 2015-07-21 Kurt Hinterbichler , Rachel A. Rosen

We investigate the possibility of a new massive gravity theory with derivative interactions as an extension of de Rham-Gabadadze-Tolley massive gravity. We find the most general Lagrangian of derivative interactions using Riemann tensor…

General Relativity and Quantum Cosmology · Physics 2013-10-30 Rampei Kimura , Daisuke Yamauchi

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

We construct gravitational modifications that go beyond Horndeski, namely theories with extended nonminimal derivative couplings, in which the coefficient functions depend not only on the scalar field but also on its kinetic energy. Such…

General Relativity and Quantum Cosmology · Physics 2017-03-01 Tiberiu Harko , Francisco S. N. Lobo , Emmanuel N. Saridakis , Minas Tsoukalas

In the N=1 four-dimensional new-minimal supergravity framework, we supersymmetrise the coupling of the scalar kinetic term to the Einstein tensor. This coupling, although introduces a non-minimal derivative interaction of curvature to…

High Energy Physics - Theory · Physics 2015-06-04 Fotis Farakos , Cristiano Germani , Alex Kehagias , Emmanuel N. Saridakis

Bimetric gravity, is a theory of gravity that posits the existence of two interacting and dynamical metric tensors. The spectrum of bimetric gravity consists of a massless and a massive spin-2 particle. The form of the interactions between…

General Relativity and Quantum Cosmology · Physics 2025-01-23 Ioannis D. Gialamas , Kyriakos Tamvakis

We study the cosmology of bimetric theory with a composite matter coupling. We find two possible branches of background evolution. We investigate the question of stability of cosmological perturbations. For the tensor and vector…

High Energy Physics - Theory · Physics 2015-06-23 A. Emir Gumrukcuoglu , Lavinia Heisenberg , Shinji Mukohyama , Norihiro Tanahashi

We present a detailed study of a simple scalar field model that yields non-singular cosmological solutions. We study both the qualitative dynamics of the homogeneous and isotropic background and the evolution of inhomogeneous linear…

Astrophysics · Physics 2009-11-10 Laura E. Allen , David Wands

In this work we investigate the existence of relativistic models for dark matter in the context of bimetric gravity, used here to reproduce the modified Newtonian dynamics (MOND) at galactic scales. For this purpose we consider two…

General Relativity and Quantum Cosmology · Physics 2015-06-03 Luc Blanchet , Lavinia Heisenberg

In this paper we study gravitational wave perturbations in a cosmological setting of bigravity which can reproduce the {\Lambda}CDM background and large scale structure. We show that in general gravitational wave perturbations are unstable…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-27 Giulia Cusin , Ruth Durrer , Pietro Guarato , Mariele Motta

We analyze a bi-gravity model based on the first order formalism, having as fundamental variables two tetrads but only one Lorentz connection. We show that on a large class of backgrounds its linearization agrees with general relativity. At…

High Energy Physics - Theory · Physics 2025-07-14 Sergei Alexandrov , Simone Speziale

We investigate the coupling to matter in ghost-free massive (bi-)gravity. When species in the matter sector couple covariantly to only one metric, we show that at one--loop these couplings do not spoil the special structure of the graviton…

High Energy Physics - Theory · Physics 2015-01-16 Claudia de Rham , Lavinia Heisenberg , Raquel H. Ribeiro

We study cosmological perturbations in a non-local higher-derivative model of gravity introduced by Biswas, Mazumdar and Siegel. We extend previous work, which had focused on classical scalar perturbations around a cosine hyperbolic bounce…

High Energy Physics - Theory · Physics 2015-06-22 Ben Craps , Tim De Jonckheere , Alexey S. Koshelev

The tetrad approach is used to resolve the matrix square root appearing in the dRGT potential. Constraints and their algebra are derived for the minimal case. It is shown that the number of gravitational degrees of freedom corresponds to…

High Energy Physics - Theory · Physics 2014-10-02 Vladimir O. Soloviev

The properties of metric perturbations are determined in the context of an expanding Universe governed by a modified theory of gravity with a non-minimal coupling between curvature and matter. We analyse the dynamics of the 6 components of…

General Relativity and Quantum Cosmology · Physics 2025-01-07 Miguel Barroso Varela , Orfeu Bertolami

We study the structure of scalar-tensor theories of gravity based on derivative couplings between the scalar and the matter degrees of freedom introduced through an effective metric. Such interactions are classified by their tensor…

General Relativity and Quantum Cosmology · Physics 2014-03-26 Miguel Zumalacárregui , Juan García-Bellido

Linear cosmological perturbations of a large class of modified gravity and dark energy models can be unified in the effective field theory of cosmic acceleration, encompassing Horndeski scalar-tensor theories and beyond. The fully available…

Cosmology and Nongalactic Astrophysics · Physics 2015-11-25 Lucas Lombriser , Andy Taylor

We consider a consistent linear effective vielbein matter coupling without introducing the Boulware-Deser ghost in ghost-free massive gravity. This is achieved in the partially constrained vielbein formulation. We first introduce the…

High Energy Physics - Theory · Physics 2016-01-13 Antonio De Felice , A. Emir Gümrükçüoğlu , Lavinia Heisenberg , Shinji Mukohyama

Scalar-tensor theories have shown promise in many sectors of cosmology. However, recent constraints from the speed of gravitational waves have put severe limits on the breadth of models such classes of theories can realize. In this work, we…

General Relativity and Quantum Cosmology · Physics 2025-05-06 Fabiano F. Santos , Jackson Levi Said

Theories of massive gravity with one or two dynamical metrics generically lack stable and observationally-viable cosmological solutions that are distinguishable from $\Lambda$CDM. We consider an extension to trimetric gravity, with three…

Cosmology and Nongalactic Astrophysics · Physics 2016-09-02 Marvin Lüben , Yashar Akrami , Luca Amendola , Adam R. Solomon