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In massive gravity and in bimetric theories of gravity, two constraints are needed to eliminate the two phase-space degrees of freedom of the Boulware-Deser ghost. For recently proposed non-linear theories, a Hamiltonian constraint has been…

High Energy Physics - Theory · Physics 2015-06-03 S. F. Hassan , Rachel A. Rosen

In this work we study the cosmological perturbations in massive bigravity in the presence of non-minimal derivative couplings. For this purpose we consider a specific subclass of Horndeski scalar-tensor interactions that live on the unique…

High Energy Physics - Theory · Physics 2016-03-24 Xian Gao , Lavinia Heisenberg

We study the physical propagating modes in a massive gravity model in curved cosmological backgrounds, which we have found as classical solutions in our previous paper. We show that, generically, there exist such the cosmological background…

High Energy Physics - Theory · Physics 2009-02-09 Masahiro Maeno , Ichiro Oda

We present a comprehensive analysis of classical scalar, vector and tensor cosmological perturbations in ghost-free massive bigravity. In particular, we find the full evolution equations and analytical solutions in a wide range of regimes.…

General Relativity and Quantum Cosmology · Physics 2015-06-23 Macarena Lagos , Pedro G. Ferreira

We investigate the cosmological perturbations in f(T) gravity. Examining the pure gravitational perturbations in the scalar sector using a diagonal vierbien, we extract the corresponding dispersion relation, which provides a constraint on…

Cosmology and Nongalactic Astrophysics · Physics 2011-02-02 Shih-Hung Chen , James B. Dent , Sourish Dutta , Emmanuel N. Saridakis

We investigate the cosmology of interacting spin-2 particles, formulating the multi-gravitational theory in terms of vierbeins and without imposing any Deser-van Nieuwenhuizen-like constraint. The resulting multi-vierbein theory represents…

High Energy Physics - Theory · Physics 2014-02-21 Nicola Tamanini , Emmanuel N. Saridakis , Tomi S. Koivisto

A ghost-free theory of gravity with two dynamical metrics both coupled to matter is shown to be consistent and viable. Its cosmological implications are studied, and the models, in particular in the context of partially massless gravity,…

High Energy Physics - Theory · Physics 2013-10-25 Yashar Akrami , Tomi S. Koivisto , David F. Mota , Marit Sandstad

Theories with a non-minimal coupling between the space-time curvature and matter fields introduce an extra force due to the non-conservation of the matter energy momentum. In the present work the theoretical consistency of such couplings is…

General Relativity and Quantum Cosmology · Physics 2013-10-02 Nicola Tamanini , Tomi S. Koivisto

Vielbeins are necessary when coupling General Relativity (GR) to fermionic matter. This enhances the gauge group of GR to include local Lorentz transformations. In view of a reduced phase space formulation of quantum gravity, in this work…

General Relativity and Quantum Cosmology · Physics 2023-05-12 Thomas Thiemann

We propose a phenomenological model in which a non-minimal coupling between gravity and dark matter is present in order to address some of the apparent small scales issues of \lcdm model. When described in a frame in which gravity dynamics…

Cosmology and Nongalactic Astrophysics · Physics 2012-07-24 Dario Bettoni , Valeria Pettorino , Stefano Liberati , Carlo Baccigalupi

This work proposes a new gravitational theory formulated in terms of the vierbein field. The vierbein contains components which can be shifted by local Lorentz transformations and therefore do not show up in the spacetime metric. These…

High Energy Physics - Theory · Physics 2019-05-20 Chrysoula Markou , Felix J. Rudolph , Angnis Schmidt-May

We consider the problem of finding a dual formulation of gravity in the presence of non-trivial matter couplings. In the absence of matter a dual graviton can be introduced only for linearised gravitational interactions. We show that the…

High Energy Physics - Theory · Physics 2009-01-16 Eric A. Bergshoeff , Mees de Roo , Sven F. Kerstan , Axel Kleinschmidt , Fabio Riccioni

We analyze a theory with non-minimal matter-curvature coupling, considering non-metricity properties with a Weyl connection. This model has the advantage of an extra force term which can mimic dark matter and dark energy, and simultaneously…

General Relativity and Quantum Cosmology · Physics 2026-04-15 M. Lima , C. Gomes

Ghost-free bimetric gravity is a theory of two interacting spin-2 fields, one massless and one massive, in addition to the standard matter particles and fields, thereby generalizing Einstein's theory of general relativity. To parameterize…

General Relativity and Quantum Cosmology · Physics 2021-05-19 Marcus Högås , Edvard Mörtsell

It has recently been shown that the graviton can consistently gain a constant mass without introducing the Boulware-Deser ghost. We propose a gravity model where the graviton mass is set by a scalar field and prove that this model is free…

High Energy Physics - Theory · Physics 2014-02-06 Qing-Guo Huang , Yun-Song Piao , Shuang-Yong Zhou

We analyze the ghost issue in the recently proposed models of non-linear massive gravity in the ADM formalism. We show that, in the entire two-parameter family of actions, the Hamiltonian constraint is maintained at the complete non-linear…

High Energy Physics - Theory · Physics 2015-05-28 S. F. Hassan , Rachel A. Rosen

We investigate strong coupling effects in a covariant massive gravity model, which is a candidate for a ghost free non-linear completion of Fierz-Pauli. We analyse the conditions to recover general relativity via Vainshtein mechanism in the…

High Energy Physics - Theory · Physics 2011-11-04 Kazuya Koyama , Gustavo Niz , Gianmassimo Tasinato

We develop a numerical algorithm to solve the high-order nonlinear derivative-coupling equation associated with the quartic Galileon model, and implement it in a modified version of the RAMSES N-body code to study the effect of the Galileon…

Cosmology and Nongalactic Astrophysics · Physics 2013-11-08 Baojiu Li , Alexandre Barreira , Carlton M. Baugh , Wojciech A. Hellwing , Kazuya Koyama , Silvia Pascoli , Gong-Bo Zhao

A quantum theory of massive Abelian vector bosons with non-minimal couplings to gravity has been studied within an evolving, isotropic, and homogeneous gravitational background. The vectors may play a role of dark matter if stabilizing…

High Energy Physics - Phenomenology · Physics 2024-11-12 Bohdan Grzadkowski , Anna Socha

We study the metric perturbations around the de Sitter and Minkowski backgrounds in Conformal Gravity. We confirm the presence of ghosts in both cases. In the de Sitter case, by applying the Maldacena boundary conditions - the Neumann…

High Energy Physics - Theory · Physics 2023-08-30 Anamaria Hell , Dieter Lust , George Zoupanos