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We perform a comparative phase space analysis of the light mass Galileon model and standard Quintessence in the context of late--time cosmic acceleration. Focusing on a spatially flat FLRW background, we consider a cubic Galileon…

General Relativity and Quantum Cosmology · Physics 2026-04-07 Mohd Shahalam

We study the cosmology of a covariant Galileon field with five covariant Lagrangians and confront this theory with the most recent cosmological probes: the type Ia supernovae data (Constitution and Union2 sets), cosmic microwave background…

Cosmology and Nongalactic Astrophysics · Physics 2011-01-17 Savvas Nesseris , Antonio De Felice , Shinji Tsujikawa

We present a cosmological model with a solution that self-accelerates at late-times without signs of ghost instabilities on small scales. The model is a natural extension of the Brans-Dicke (BD) theory including a non-linear derivative…

Cosmology and Nongalactic Astrophysics · Physics 2010-01-08 Fabio P Silva , Kazuya Koyama

A Galileon field is one which obeys a spacetime generalization of the non-relativistic Galilean invariance. Such a field may possess non-canonical kinetic terms, but ghost-free theories with a well-defined Cauchy problem exist, constructed…

Cosmology and Nongalactic Astrophysics · Physics 2014-11-21 Clare Burrage , David Seery

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

We study the cosmological effects of a Galileon term in scalar-tensor theories of gravity. The subset of scalar-tensor theories considered are characterized by a non-minimal coupling $F(\sigma) R$, a kinetic term with arbitrary sign $Z…

Cosmology and Nongalactic Astrophysics · Physics 2023-09-26 A. G. Ferrari , M. Ballardini , F. Finelli , D. Paoletti , N. Mauri

Galileon theories are of considerable interest since they allow for stable violations of the null energy condition. Since such violations could have occurred during a high-energy regime in the history of our universe, we are motivated to…

High Energy Physics - Theory · Physics 2015-05-27 Justin Khoury , Jean-Luc Lehners , Burt A. Ovrut

The Galileon model is a tensor-scalar theory of gravity which explains the late acceleration of the Universe expansion with no instabilities and recovers General Relativity in the strong field limit. Most constraints obtained so far on…

Cosmology and Nongalactic Astrophysics · Physics 2020-06-16 Clément Leloup , Vanina Ruhlmann-Kleider , Jeremy Neveu , Arnaud de Mattia

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 consider generalized Galileon theories within general relativity in four-dimensional space-time. We provide the argument showing that the generalized Galileons described by a wide class of Lagrangians do not admit stable, static,…

High Energy Physics - Theory · Physics 2017-07-26 O. A. Evseev , O. I. Melichev

We consider small perturbations about homogeneous backgrounds in dilatationally-invariant Galileon models. The issues we address are stability (absence of ghosts and gradient instabilities) and superluminality. We show that in Minkowski…

High Energy Physics - Theory · Physics 2016-03-28 Roman Kolevatov

We explore the nonlinear dynamics of classical field theories containing ghost degrees of freedom, focusing on two coupled scalar fields with opposite kinetic terms in (1+1) and (2+1) dimensional Minkowski spacetime. Using a spacetime…

Dynamical Systems · Mathematics 2026-05-13 Jax Wysong , Samara Overvaag , Hyun Lim , Jung-Han Kimn

Despite the no-go theorem [5] which rules out static stable solitons in Galileon theory, we propose a family of solitons that evade the theorem by traveling at the speed of light. These domain-wall-like solitons are stable under small…

High Energy Physics - Theory · Physics 2012-07-19 Ali Masoumi , Xiao Xiao

We revisit nonsingular cosmologies in which the limiting curvature hypothesis is realized. We study the cosmological perturbations of the theory and determine the general criteria for stability. For the simplest model, we find generic…

High Energy Physics - Theory · Physics 2017-08-08 Daisuke Yoshida , Jerome Quintin , Masahide Yamaguchi , Robert H. Brandenberger

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

The observational evidence for the existence of a non-zero cosmological constant is getting stronger. It is therefore timely to address the question of its eventual effect on the dynamics of galaxies, clusters and larger structures in the…

Astrophysics · Physics 2007-05-23 L. Bergstrom , U. Danielsson

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

In this paper we examine the cosmological consequences of fourth order Galileon gravity. We carry out detailed investigations of the underlying dynamics and demonstrate the stability of one de Sitter phase. The stable de Sitter phase…

Cosmology and Nongalactic Astrophysics · Physics 2010-12-23 Amna Ali , Radouane Gannouji , M. Sami

In this paper, we have investigated the phase space analysis in modified Galileon cosmology, where the Galileon term is considered a coupled scalar field, $F(\phi)$. We focus on the exponential type function of $F(\phi)$ and the three…

General Relativity and Quantum Cosmology · Physics 2024-11-11 L. K. Duchaniya , B. Mishra , I. V. Fomin , S. V. Chervon

We consider the recently introduced "galileon" field in a dynamical spacetime. When the galileon is assumed to be minimally coupled to the metric, we underline that both field equations of the galileon and the metric involve up to…

High Energy Physics - Theory · Physics 2009-10-07 C. Deffayet , G. Esposito-Farese , A. Vikman