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We generalize the Galileon symmetry and its relativistic extension to a de Sitter background. This is made possible by studying a probe-brane in a flat five-dimensional bulk using a de Sitter slicing. The generalized Lovelock invariants…

High Energy Physics - Theory · Physics 2015-05-27 Clare Burrage , Claudia de Rham , Lavinia Heisenberg

We present a theory of ghost-free massive gravity where the mass of the graviton is generated through the Brout-Englert-Higgs (BEH) mechanism and one of the four scalar fields used is that of mimetic gravity. The mass term is not of the…

High Energy Physics - Theory · Physics 2018-06-26 Ali H. Chamseddine , Viatcheslav Mukhanov

In this paper we propose a wider class of symmetries including the Galilean shift symmetry as a subclass. We will show how to construct ghost-free nonlocal actions, consisting of infinite derivative operators, which are invariant under such…

High Energy Physics - Theory · Physics 2019-08-07 Luca Buoninfante , Gaetano Lambiase , Masahide Yamaguchi

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

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

We introduce the cosmological analysis of the Dirac-Born-Infeld dRGT massive gravity theory which is a new extension of de Rham-Gabadadze-Tolley (dRGT) massive gravity. In this theory, we consider the Dirac-Born-Infeld (DBI) scalar field…

General Relativity and Quantum Cosmology · Physics 2022-07-18 Sobhan Kazempour , Amin Rezaei Akbarieh , Hossein Motavalli , Lijing Shao

We study the cosmology of a galileon scalar-tensor theory, obtained by covariantizing the decoupling lagrangian of the Dvali-Gabadadze-Poratti (DGP) model. Despite being local in 3+1 dimensions, the resulting cosmological evolution is…

High Energy Physics - Theory · Physics 2009-08-13 Nathan Chow , Justin Khoury

In the context of massive (bi-)gravity non-minimal matter couplings have been proposed. These couplings are special in the sense that they are free of the Boulware-Deser ghost below the strong coupling scale and can be used consistently as…

High Energy Physics - Theory · Physics 2018-06-18 Xian Gao , Lavinia Heisenberg

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

Effective theories of a scalar $\phi$ invariant under the internal \textit{galileon symmetry} $\phi\to\phi+b_\mu x^\mu$ have been extensively studied due to their special theoretical and phenomenological properties. In this paper, we…

High Energy Physics - Theory · Physics 2015-09-16 David Pirtskhalava , Luca Santoni , Enrico Trincherini , Filippo Vernizzi

Ghost-free bimetric gravity is a theory of two interacting spin-2 fields, one massless and one massive, in addition to the standard matter particles and fields, thereby generalizing Einstein's theory of general relativity. To parameterize…

General Relativity and Quantum Cosmology · Physics 2021-05-19 Marcus Högås , Edvard Mörtsell

We discuss a scale-free model of bigravity, in which the mass parameter of the standard bigravity potential is promoted to a dynamical scalar field. This modification retains the ghost-free bigravity structure, in particular it remains free…

High Energy Physics - Theory · Physics 2017-02-28 Giulia Cusin , Nima Khosravi , Johannes Noller

In the extended quasidilaton massive gravity we perform a nonlinear transformation of the shift vector and then calculate the second derivatives of the Hamiltonian density with respect to the lapse function and the (nonlinearly transformed)…

High Energy Physics - Theory · Physics 2017-08-30 Shinji Mukohyama

Using a first order Chern-Simons-like formulation of gravity we systematically construct higher-derivative extensions of general relativity in three dimensions. The construction ensures that the resulting higher-derivative gravity theories…

High Energy Physics - Theory · Physics 2015-06-19 Hamid R. Afshar , Eric A. Bergshoeff , Wout Merbis

In massive gravity and in bimetric theories of gravity, two constraints are needed to eliminate the two phase-space degrees of freedom of the Boulware-Deser ghost. For recently proposed non-linear theories, a Hamiltonian constraint has been…

High Energy Physics - Theory · Physics 2015-06-03 S. F. Hassan , Rachel A. Rosen

We suggest a class of generally covariant ghost-free nonlocal gravity models generating de Sitter or Anti-de Sitter background with an arbitrary value of the effective cosmological constant and featuring a mechanism of dark matter…

High Energy Physics - Theory · Physics 2015-05-28 A. O. Barvinsky

We analyze the ghost issue in the recently proposed models of non-linear massive gravity in the ADM formalism. We show that, in the entire two-parameter family of actions, the Hamiltonian constraint is maintained at the complete non-linear…

High Energy Physics - Theory · Physics 2015-05-28 S. F. Hassan , Rachel A. Rosen

We provide an auxiliary field formulation of the full ghost-free bimetric theory which avoids the explicit presence of a square-root matrix in the action. This description always allows for a branch of solutions where the auxiliary fields…

High Energy Physics - Theory · Physics 2014-12-15 Angnis Schmidt-May , Mikael von Strauss

The early Cosmology driven by a single scalar field, both massless and massive, in the context of Eddington-inspired Born-Infeld gravity, is explored. We show the existence of nonsingular solutions of bouncing and loitering type (depending…

General Relativity and Quantum Cosmology · Physics 2021-11-15 David Benisty , Gonzalo J. Olmo , Diego Rubiera-Garcia

We show that generalized gravity theories involving the curvature invariants of the Ricci tensor and the Riemann tensor as well as the Ricci scalar are equivalent to multi- scalar-tensor gravities with four derivatives terms. By expanding…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Takeshi Chiba