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We describe a mechanism in which the graviton acquires a mass from the functional measure without violating the diffeomorphism symmetry nor including St\"uckelberg fields. Since gauge invariance is not violated, the number of degrees of…

High Energy Physics - Theory · Physics 2024-01-23 João M. L. de Freitas , Iberê Kuntz

With an appropriate choice of parameters, a higher derivative theory of gravity can describe a normal massive sector and a ghost massless sector. We show that, when defined on an asymptotically de Sitter spacetime with Dirichlet boundary…

High Energy Physics - Theory · Physics 2015-06-11 Minjoon Park , Lorenzo Sorbo

Galileon gravity is a robust theoretical alternative to general relativity with a cosmological constant for explaining cosmic acceleration, with interesting properties such as having second order field equations and a shift symmetry. While…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-04 Stephen A. Appleby , Eric V. Linder

We establish a correspondence between general relativity with diffeomorphism invariance and scalar field theories with Galilean invariance: notions such as the Levi-Civita connection and the Riemann tensor have a Galilean counterpart. This…

High Energy Physics - Theory · Physics 2016-03-02 Remko Klein , Mehmet Ozkan , Diederik Roest

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

We consider some flat space theories for spin 2 gravitons, with less invariance than full diffeomorphisms. For the massless case, classical stability and absence of ghosts require invariance under transverse diffeomorphisms (TDiff). Generic…

High Energy Physics - Theory · Physics 2008-11-26 E. Alvarez , D. Blas , J. Garriga , E. Verdaguer

In this paper we present a very simple and independent argument for the absence of the Boulware-Deser ghost in the recently proposed potentially ghost-free non-linear massive gravity. The limitation is that, in its simple form, the argument…

General Relativity and Quantum Cosmology · Physics 2012-01-11 Alexey Golovnev

The DBI-Galileon model is a scalar-tensor theory of gravity which is defined as the most general theory of the dynamics of a 4D brane embedded in a 5D bulk. It is of particular interest as it introduces only a few free parameters, all with…

High Energy Physics - Theory · Physics 2023-12-15 C. Leloup , L. Heitz , J. Neveu

Degenerate scalar-tensor theories are recently proposed covariant theories of gravity coupled with a scalar field. Despite being characterised by higher order equations of motion, they do not propagate more than three degrees of freedom,…

High Energy Physics - Theory · Physics 2017-03-08 Javier Chagoya , Gianmassimo Tasinato

In this paper we show that the flat space Galilean theories with up to three scalars in the equation of motion (the quartic Galileons) are recovered in the decoupling limit of certain scalar theories non-minimally coupled to gravity, the…

High Energy Physics - Theory · Physics 2013-05-30 Cristiano Germani

The Galileon model is a ghost free scalar effective field theory containing higher derivative terms that are protected by the Galileon symmetry. The presence of a Vainshtein screening mechanism allows the scalar field to couple to matter…

High Energy Physics - Phenomenology · Physics 2011-09-20 Philippe Brax , Clare Burrage , Anne-Christine Davis

We show that classically scale invariant gravity coupled to a single scalar field can undergo dimensional transmutation and generate an effective Einstein-Hilbert action for gravity, coupled to a massive dilaton. The same theory has an…

High Energy Physics - Theory · Physics 2016-01-21 Martin B Einhorn , D R Timothy Jones

We use on-shell amplitude techniques to study the possible $\mathcal{N}=1$ supersymmetrizations of Galileon theories in 3+1 dimensions, both in the limit of decoupling from DBI and without. Our results are that (1) the quartic Galileon has…

High Energy Physics - Theory · Physics 2018-05-02 Henriette Elvang , Callum R. T. Jones , Marios Hadjiantonis , Shruti Paranjape

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 show that general infrared modifications of the Einstein-Hilbert action obtained by addition of curvature invariants are not viable. These modifications contain either ghosts or light gravity scalars. A very specific fine-tuning might…

High Energy Physics - Theory · Physics 2007-05-23 Alvaro Nunez , Slava Solganik

Special gravity refers to interacting theories of massless gravitons in Minkowski space-time which are invariant under the abelian gauge invariance $h_{ab}\rightarrow h_{ab}+\partial_{(a}\chi_{b)}$ only. In this article we determine the…

High Energy Physics - Theory · Physics 2017-10-11 Dong Bai , Yu-Hang Xing

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

Galileons are scalar field theories which obey the Galileon symmetry $\varphi \to \varphi + b + c_\mu x^\mu$ and are capable of self-acceleration if they have an inverted sign for the kinetic term. These theories violate the Strong…

Cosmology and Nongalactic Astrophysics · Physics 2021-01-20 Deaglan J. Bartlett , Harry Desmond , Pedro G. Ferreira

We systematically construct ghost-free higher-derivative actions of Abelian vector supermultiplets in four-dimensional ${\cal N}=1$ global supersymmetric theories. After giving a simple example which illustrates that a naive introduction of…

High Energy Physics - Theory · Physics 2017-10-03 Toshiaki Fujimori , Muneto Nitta , Keisuke Ohashi , Yusuke Yamada , Ryo Yokokura

We study the cosmology of a covariant scalar field respecting a Galilean symmetry in flat space-time. We show the existence of a tracker solution that finally approaches a de Sitter fixed point responsible for cosmic acceleration today. The…

Cosmology and Nongalactic Astrophysics · Physics 2014-11-21 Antonio De Felice , Shinji Tsujikawa