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The existence of a ghost free theory of massive gravity begs for an interpretation as a Higgs phase of General Relativity. We revisit the study of massive gravity as a Higgs phase. Absent a compelling microphysical model of spontaneous…

High Energy Physics - Theory · Physics 2015-08-06 Garrett Goon , Kurt Hinterbichler , Austin Joyce , Mark Trodden

A brief review of the physics of systems including higher derivatives in the Lagrangian is given. All such systems involve ghosts, i.e. the spectrum of the Hamiltonian is not bounded from below and the vacuum ground state is absent. Usually…

High Energy Physics - Theory · Physics 2018-01-17 Andrei Smilga

The effective field theory of massive gravity had long been formulated in a generally covariant way arXiv:hep-th/0210184. Using this formalism, it has been found recently that there exists a class of massive nonlinear theories that are free…

High Energy Physics - Theory · Physics 2011-03-22 Lasha Berezhiani , Mehrdad Mirbabayi

We perform a systematic study of various versions of massive gravity with and without violation of Lorentz symmetry in arbitrary dimension. These theories are well known to possess very unusual properties, unfamiliar from studies of gauge…

High Energy Physics - Phenomenology · Physics 2014-11-20 Andrei Mironov , Sergey Mironov , Alexei Morozov , Andrey Morozov

Recently, several works have investigated the coupling to matter in ghost-free massive (bi-&multi-)gravity and a new effective coupling to matter has been proposed. In this note we clarify some confusion on the existence and the…

High Energy Physics - Theory · Physics 2014-12-24 Claudia de Rham , Lavinia Heisenberg , Raquel H. Ribeiro

Modified theories of gravity usually present new degrees of freedom, as well as higher order derivatives, wrong signs in certain terms and complicated couplings already present in the Lagrangian from the beginning or originated by the field…

General Relativity and Quantum Cosmology · Physics 2022-07-28 Adrià Delhom , Alejandro Jiménez-Cano , Francisco José Maldonado Torralba

We derive the full perturbative equations of motion for the most general background solutions in ghost-free bimetric theory in its metric formulation. Clever field redefinitions at the level of fluctuations enable us to circumvent the…

High Energy Physics - Theory · Physics 2016-05-20 Laura Bernard , Cedric Deffayet , Angnis Schmidt-May , Mikael von Strauss

In this paper we construct higher-dimensional minimal theory of mass-varying massive gravity (MTMVMG) where the masslike scalar potential is coupled to a vielbein potential, unlike in the previous literature where it is coupled to metric,…

General Relativity and Quantum Cosmology · Physics 2021-10-06 Ahmad Khoirul Falah , Andy Octavian Latief , Husin Alatas , Bobby Eka Gunara

We explore the nonlinear classical dynamics of the three-dimensional theory of "New Massive Gravity" proposed by Bergshoeff, Hohm and Townsend. We find that the theory passes remarkably highly nontrivial consistency checks at the nonlinear…

High Energy Physics - Theory · Physics 2015-05-27 Claudia de Rham , Gregory Gabadadze , David Pirtskhalava , Andrew J. Tolley , Itay Yavin

A generalization to the theory of massive gravity is presented which includes three dynamical metrics. It is shown that at the linear level, the theory predicts a massless spin-2 field which is decoupled from the other two gravitons which…

High Energy Physics - Theory · Physics 2013-08-13 Nima Khosravi , Nafiseh Rahmanpour , Hamid Reza Sepangi , Shahab Shahidi

In the context of massive gravity, bi-gravity and multi-gravity non-minimal matter couplings via a specific composite effective metric were investigated recently. Even if these couplings generically reintroduce the Boulware-Deser ghost,…

High Energy Physics - Theory · Physics 2015-11-11 Lavinia Heisenberg

We consider the Lagrangian of gravity covariantly amended by the mass and polynomial interaction terms with arbitrary coefficients, and reinvestigate the consistency of such a theory in the decoupling limit, up to the fifth order in the…

High Energy Physics - Theory · Physics 2014-11-21 Claudia de Rham , Gregory Gabadadze

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

In light of recent progress in ghost-free theories of massive gravity and multi-gravity, we reconsider the problem of constructing a ghost-free theory of an interacting spin-2 field charged under a U(1) gauge symmetry. Our starting point is…

High Energy Physics - Theory · Physics 2015-08-26 Claudia de Rham , Andrew Matas , Nicholas Ondo , Andrew J. Tolley

In this work we shall address the ghost issue of $F\left( R,\mathcal{G} \right)$ gravity, which is known to be plagued with ghost degrees of freedom. These ghosts occur due to the presence of higher than two derivatives in the field…

General Relativity and Quantum Cosmology · Physics 2021-11-19 S. Nojiri , S. D. Odintsov , V. K. Oikonomou , Arkady A. Popov

Numerous claims in the literature suggest that gravity induced on a higher co-dimensional surface violates unitarity in the weak coupling regime. However, it remained unclear, why a conserved source localized on this surface and giving rise…

High Energy Physics - Theory · Physics 2013-05-30 Felix Berkhahn , Stefan Hofmann , Florian Niedermann

If the kinetic interactions of a Lorentz-invariant massive graviton are Einstein-Hilbert, then the only possible potential terms free from the Boulware-Deser ghost are those of de Rham, Gabadadze and Tolley (dRGT). We point out there are…

High Energy Physics - Theory · Physics 2018-08-10 Kurt Hinterbichler

We study cosmological perturbations for a ghost free massive gravity theory formulated with a dynamical extra metric that is needed to massive deform GR. In this formulation FRW background solutions fall in two branches. In the dynamics of…

High Energy Physics - Theory · Physics 2012-07-12 Marco Crisostomi , Denis Comelli , Luigi Pilo

Many theories of modified gravity with higher order derivatives are usually ignored because of serious problems that appear due to an additional ghost degree of freedom. Most dangerously, it causes an immediate decay of the vacuum. However,…

General Relativity and Quantum Cosmology · Physics 2016-11-30 Frank Könnig , Henrik Nersisyan , Yashar Akrami , Luca Amendola , Miguel Zumalacárregui

Ghost fields have reemerged in a handful of phenomenologically motivated cosmological and particle physics scenarios, and most recently in a cyclic mechanism to address the fine-tuning of gauge couplings in the standard model. We study the…

General Relativity and Quantum Cosmology · Physics 2017-07-11 Stephon Alexander , Sam Cormack , David Lowe , Robert Sims