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We consider various decoupling limits of ghost-free massive gravity on (A)dS. The first is a decoupling limit on AdS space where the mass goes to zero while the AdS radius is held fixed. This results in an interacting massive Proca vector…

High Energy Physics - Theory · Physics 2018-10-05 Claudia de Rham , Kurt Hinterbichler , Laura A. Johnson

We revisit the problem of gravity coupled to a background metric $\eta_{\mu\nu}$, looking for ghost free interactions. It is known that elimination of the Boulware-Desewr ghost is equivalent to a certain Hessian condition on the interacting…

General Relativity and Quantum Cosmology · Physics 2018-12-05 Máximo Bañados

We consider the branch of the projectable Horava-Lifshitz model which exhibits ghost instabilities in the low energy limit. It turns out that, due to the Lorentz violating structure of the model and to the presence of a finite strong…

High Energy Physics - Theory · Physics 2016-06-29 S. Ramazanov , F. Arroja , M. Celoria , S. Matarrese , L. Pilo

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

We give an introduction to massive spin-2 theories and the problem of their non-linear completion. We review the Boulware-Deser ghost problem and two ways to circumvent classic no-go theorems. In turn, massive spin-2 theories are not…

High Energy Physics - Theory · Physics 2013-12-09 Sarah Folkerts , Cristiano Germani , Nico Wintergerst

Ghost-free bimetric theory describes two nonlinearly interacting spin-2 fields, one massive and one massless, thus extending general relativity. We confront bimetric theory with observations of Supernovae type 1a, Baryon Acoustic…

General Relativity and Quantum Cosmology · Physics 2021-10-04 Angelo Caravano , Marvin Lüben , Jochen Weller

A new representation is found for the action of the recently suggested ghost-free nonlocal gravity models generating de Sitter or Anti-de Sitter background with an arbitrary value of the effective cosmological constant. This representation…

High Energy Physics - Theory · Physics 2015-06-11 A. O. Barvinsky , Yu. V. Gusev

Conformal transformations play a widespread role in gravity theories in regard to their cosmological and other implications. In the pure metric theory of gravity, conformal transformations change the frame to a new one wherein one obtains a…

General Relativity and Quantum Cosmology · Physics 2012-10-19 Canan N. Karahan , Oktay Dogangun , Durmus A. Demir

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

We show that higher spin systems specific to cosmological spaces are subject to the same problems as models with Poincar'e limits. In particular, we analyse partially massless (PM) spin 2 and find that both its gravitational coupling and…

High Energy Physics - Theory · Physics 2013-01-30 S. Deser , E. Joung , A. Waldron

We find that the recently-proposed ghost-free interaction of a 2-form gauge field in four dimensions, which contains derivative couplings in a nonperturbative manner, can be regarded as a resummation of ghostly interaction terms. We…

General Relativity and Quantum Cosmology · Physics 2020-01-30 Kazufumi Takahashi , Daisuke Yoshida

The true nature of gravity is a remarkable open problem in Gravitation. Theoretical and observational motivations open the avenue of alternative theories of gravity. One possibility resorts to nonminimal couplings and non-metricity…

General Relativity and Quantum Cosmology · Physics 2025-08-05 Cláudio Gomes

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

We investigate, in any spacetime dimension >=3, the problem of consistent couplings for a finite collection of massless, spin-2 fields described, in the free limit, by a sum of Pauli-Fierz actions. We show that there is no consistent…

High Energy Physics - Theory · Physics 2009-10-31 Nicolas Boulanger , Thibault Damour , Leonardo Gualtieri , Marc Henneaux

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

We construct a fully covariant theory of massive gravity which does not require the introduction of an external reference metric, and overcomes the usual problems of massive gravity theories (fatal ghosts instabilities, acausality and/or…

High Energy Physics - Theory · Physics 2015-06-15 Maud Jaccard , Michele Maggiore , Ermis Mitsou

We explore a cosmological model in which dark matter is non-minimally coupled to gravity at the fluid level. While typically subdominant compared to Standard Model forces, such couplings may dominate dark matter dynamics. We show that this…

General Relativity and Quantum Cosmology · Physics 2025-10-14 Samuele Silveravalle , Andrea Lapi , Francesco Benetti , Stefano Liberati

Conventional scenarios of purely gravitationally produced dark matter with masses below the Hubble parameter at the end of inflation are in tension with Cosmic Microwave Background (CMB) constraints on the isocurvature power spectrum. We…

High Energy Physics - Phenomenology · Physics 2024-02-15 Marcos A. G. Garcia , Mathias Pierre , Sarunas Verner

We present our analysis of the theory constructed in 1965 by Ogievetsky and Polubarinov (OP) -- the first ever theory of interacting massive gravitons. Its mass term is adjusted in such a way that the non-linear field equations imply as a…

High Energy Physics - Theory · Physics 2018-10-31 Shinji Mukohyama , Mikhail S. Volkov

The quantum theory of a free particle on a portion of two-dimensional Euclidean space bounded by a circle and subject to non-local boundary conditions gives rise to bulk and surface states. Starting from this well known property, a…

High Energy Physics - Theory · Physics 2007-05-23 Giampiero Esposito
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