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We further develop the framework for coupling galileons and Dirac-Born-Infeld (DBI) scalar fields to a massive graviton while retaining both the non-linear symmetries of the scalars and ghost-freedom of the theory. The general construction…

High Energy Physics - Theory · Physics 2014-08-06 Garrett Goon , A. Emir Gumrukcuoglu , Kurt Hinterbichler , Shinji Mukohyama , Mark Trodden

It is possible to couple Dirac-Born-Infeld (DBI) scalars possessing generalized Galilean internal shift symmetries (Galileons) to nonlinear massive gravity in four dimensions, in such a manner that the interactions maintain the Galilean…

High Energy Physics - Theory · Physics 2013-08-19 Melinda Andrews , Garrett Goon , Kurt Hinterbichler , James Stokes , Mark Trodden

A scalar-tensor theory of gravity can be made not only to account for the current cosmic acceleration, but also to satisfy solar-system and laboratory constraints, by introducing a non-linear derivative interaction for the scalar field.…

Cosmology and Nongalactic Astrophysics · Physics 2015-03-13 Tsutomu Kobayashi , Hiroyuki Tashiro , Daichi Suzuki

Vector Galileons are ghost-free systems containing higher derivative interactions of vector fields. They break the vector gauge symmetry, and the dynamics of the longitudinal vector polarizations acquire a Galileon symmetry in an…

High Energy Physics - Theory · Physics 2016-03-30 Matthew Hull , Kazuya Koyama , Gianmassimo Tasinato

We study Galileon theories that emerge in ghost-free massive gravity. In particular, we focus on a sub-class of these theories where the Galileons can be completely decoupled from the tensor Lagrangian. These Galileons differ from generic…

High Energy Physics - Theory · Physics 2013-12-16 Lasha Berezhiani , Giga Chkareuli , Gregory Gabadadze

Coupling the galileons to a curved background has been a tradeoff between maintaining second order equations of motion, maintaining the galilean shift symmetries, and allowing the background metric to be dynamical. We propose a construction…

High Energy Physics - Theory · Physics 2012-12-24 Gregory Gabadadze , Kurt Hinterbichler , Justin Khoury , David Pirtskhalava , Mark Trodden

We review the different frameworks in which Galileon scalar fields have been seen to emerge such an in DGP, New Massive Gravity and Ghost-free massive Gravity and emphasize their relation with the Lovelock invariant in braneworld models.…

Cosmology and Nongalactic Astrophysics · Physics 2013-08-20 Claudia de Rham

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

We study spatially flat bouncing cosmologies and models with the early-time Genesis epoch in a popular class of generalized Galileon theories. We ask whether there exist solutions of these types which are free of gradient and ghost…

High Energy Physics - Theory · Physics 2016-08-31 M. Libanov , S. Mironov , V. Rubakov

Cubic Galileon massive gravity is a development of de Rham-Gabadadze-Tolly (dRGT) massive gravity theory is which the space of the Stueckelberg field is broken. We consider the cubic Galileon term as a scalar field coupled to the graviton…

General Relativity and Quantum Cosmology · Physics 2021-11-01 Shahabeddin M. Aslmarand , Amin Rezaei Akbarieh , Yousef Izadi , Sobhan Kazempour , Lijing Shao

The mystery of dark energy suggests that there is new gravitational physics on long length scales. Yet light degrees of freedom in gravity are strictly limited by Solar System observations. We can resolve this apparent contradiction by…

Cosmology and Nongalactic Astrophysics · Physics 2015-03-17 Mark Wyman

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

We construct four-dimensional effective field theories of a generalized DBI galileon field, the dynamics of which naturally take place on a Friedmann-Robertson-Walker spacetime. The theories are invariant under non-linear symmetry…

High Energy Physics - Theory · Physics 2011-12-07 Garrett Goon , Kurt Hinterbichler , Mark Trodden

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

Galileon gravity offers a robust gravitational theory for explaining cosmic acceleration, having a rich phenomenology of testable behaviors. We explore three classes of Galileon models -- standard uncoupled, and linearly or derivatively…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-03 Stephen A. Appleby , Eric V. Linder

We investigate the coupling between a Galileon scalar field and massive gravity through composite metrics. We derive the full set of equations of motion for a flat Friedmann-Robertson-Walker background, and study linear perturbations around…

High Energy Physics - Theory · Physics 2015-09-04 Xian Gao , Daisuke Yoshida

In this brief article, I summarize attempts with collaborators over the last couple of years to extend the Galileon idea in two important ways. I discuss the effective field theory construction arising from co-dimension greater than one…

High Energy Physics - Theory · Physics 2012-12-27 Mark Trodden

A certain class of nonlocal theories eliminates an arbitrary cosmological constant (CC) from a universe that can be perceived as our world. Dark energy then cannot be explained by a CC; it could however be due to massive gravity. We…

High Energy Physics - Theory · Physics 2017-03-22 Gregory Gabadadze , Siqing Yu

We study the cosmology of a generalized Galileon field $\phi$ with five covariant Lagrangians in which $\phi$ is replaced by general scalar functions $f_{i}(\phi)$ (i=1,...,5). For these theories, the equations of motion remain at…

High Energy Physics - Theory · Physics 2015-05-19 Antonio De Felice , Shinji Tsujikawa

We covariantize the decoupling limit of massive gravity proposed in arXiv:1011.1232 and study the cosmology of this theory as a proxy, which embodies key features of the fully non-linear covariant theory. We first confirm that it exhibits a…

High Energy Physics - Theory · Physics 2012-03-02 Claudia de Rham , Lavinia Heisenberg
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