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Related papers: Ghost Free Mimetic Massive Gravity

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Unitarity of scale-invariant coupled theory of higher-derivative gravity and matter is investigated. A scalar field coupled with dirac fermion is taken as matter sector.Following the idea of induced gravity Einstein-Hilbert term is…

High Energy Physics - Theory · Physics 2017-10-23 Gaurav Narain

We show that linear perturbations around the simplest black hole solution of massive bi-gravity theories, the bi-Schwarzschild solution, exhibit an unstable mode featuring the Gregory-Laflamme instability of higher-dimensional black…

General Relativity and Quantum Cosmology · Physics 2013-07-05 Eugeny Babichev , Alessandro Fabbri

Canonical analysis of a recently proposed [1] linear+quadratic curvature gravity model in D=3 displays its pure fourth derivative quadratic branch as a ghost-free (massless) excitation. Hence it both negates an old no-go theorem and is…

High Energy Physics - Theory · Physics 2009-09-11 S Deser

We propose and study a new first order version of the ghost-free massive gravity. Instead of metrics or tetrads, it uses a connection together with Plebanski's chiral 2-forms as fundamental variables, rendering the phase space structure…

High Energy Physics - Theory · Physics 2014-09-04 Sergei Alexandrov , Kirill Krasnov , Simone Speziale

We report the existence of a ghost- and tachyon-free sector in metric-affine theories of gravity, that is invariant under diffeomorphism and a particular abelian symmetry. In contrast with many studied cases in the literature, the…

High Energy Physics - Theory · Physics 2022-08-03 Carlo Marzo

We propose a bigravity analogue of the $F(R)$ gravity. Our construction is based on recent ghost-free massive bigravity where additional scalar fields are added and the corresponding conformal transformation is implemented. It turns out…

High Energy Physics - Theory · Physics 2015-06-05 Shin'ichi Nojiri , Sergei D. Odintsov

We present a new point of view on the quantization of the massive gravitational field, namely we use exclusively the quantum framework of the second quantization. The Hilbert space of the many-gravitons system is a Fock space ${\cal…

High Energy Physics - Theory · Physics 2009-11-10 Dan Radu Grigore , Gunter Scharf

In de Sitter spacetime there exists an absolute minimum for the mass of a spin-2 field set by the Higuchi bound m^2 \geq 2H^2. We generalize this bound to arbitrary spatially flat FRW geometries in the context of the recently proposed…

High Energy Physics - Theory · Physics 2015-06-05 Matteo Fasiello , Andrew J. Tolley

We analyse scale invariant quadratic quantum gravity incorporating non-minimal coupling to a multiplet of scalar fields in a gauge theory, with particular emphasis on the consequences for its interpretation resulting from a transformation…

High Energy Physics - Theory · Physics 2018-03-07 Martin B. Einhorn , D. R. Timothy Jones

In this letter we point out that the massive gravity theory with a graviton ghost mode in de Sitter background cannot possess a de Sitter invariant vacuum state. In order to avoid a negative norm state, we must associate the creation…

General Relativity and Quantum Cosmology · Physics 2009-03-20 Keisuke Izumi , Takahiro Tanaka

We describe a Higgs mechanism for the partially massless graviton. In order to do so, we first construct a covariant fracton-like effective field theory on de Sitter space that linearly realizes a dipolar shift symmetry. The global symmetry…

High Energy Physics - Theory · Physics 2025-07-30 Kurt Hinterbichler , Austin Joyce

We present the complete form of the decoupling limit of ghost-free massive gravity with a Minkowski reference metric, including the full interactions of the helicity-1 and helicity-0 modes of the massive spin-2 field. While in the metric…

High Energy Physics - Theory · Physics 2015-06-16 Nicholas A. Ondo , Andrew J. Tolley

Inspired by a recent ghost-free nonlinear massive gravity in four-dimensional spacetime, we study its higher dimensional scenarios. As a result, we are able to show the constant-like behavior of massive graviton terms for some well-known…

General Relativity and Quantum Cosmology · Physics 2016-05-04 Tuan Q. Do

Recently modified gravitational theories which mimic the behaviour of dark matter, the so-called "Mimetic Dark Matter", have been proposed. We study the consistency of such theories with respect to the absence of ghost instability and…

High Energy Physics - Theory · Physics 2015-01-15 Masud Chaichian , Josef Kluson , Markku Oksanen , Anca Tureanu

We show that a partially massless graviton can propagate on a large set of spacetimes which are not Einstein spacetimes. Starting from a recently constructed theory for a massive graviton that propagates the correct number of degrees of…

High Energy Physics - Theory · Physics 2018-08-31 Laura Bernard , Cedric Deffayet , Kurt Hinterbichler , Mikael von Strauss

We show that the massless form fields, in $(4+1)$-dimensional non-perturbation theory of emergent gravity, become massive in a perturbative phase without Higgs mechanism. In particular an axionic scalar sourced by a non-perturbative…

High Energy Physics - Theory · Physics 2019-12-06 Supriya Kar , R. Nitish

The role of Lorentz symmetry in ghost-free massive gravity is studied, emphasizing features emerging in approximately Minkowski spacetime. The static extrema and saddle points of the potential are determined and their Lorentz properties…

General Relativity and Quantum Cosmology · Physics 2021-08-10 Alan Kostelecky , Robertus Potting

An extension of the bimetric theory of gravity is considered that includes quadratic Ricci curvature terms associated with each metric. The issue of the Boulware-Deser ghost is analyzed. The Hamiltonian constraint is derived and the…

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

We propose a new ghost-free model describing massive spin two field. This model consists of a kinetic term and interaction terms without derivative. We report on the properties of this model, especially we consider what could happen when…

High Energy Physics - Theory · Physics 2014-11-20 Shin'ichi Nojiri

For a special value of the mass, a massive graviton on de Sitter space acquires an enhanced scalar gauge symmetry, and is called partially massless. The partially massless graviton possesses a duality invariance akin to electromagnetic…

High Energy Physics - Theory · Physics 2026-05-28 Kurt Hinterbichler