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We study the evolution of matter density perturbations in Galileon cosmology where the late-time cosmic acceleration can be realized by a field kinetic energy. We obtain full perturbation equations at linear order in the presence of five…

Cosmology and Nongalactic Astrophysics · Physics 2011-02-23 Antonio De Felice , Ryotaro Kase , Shinji Tsujikawa

We introduce and demonstrate the power of a method to speed up current iterative techniques for N-body modified gravity simulations. Our method is based on the observation that the accuracy of the final result is not compromised if the…

Cosmology and Nongalactic Astrophysics · Physics 2016-01-12 Alexandre Barreira , Sownak Bose , Baojiu Li

Modified gravity theories with a screening mechanism have acquired much interest recently in the quest for a viable alternative to General Relativity on cosmological scales, given their intrinsic property of being able to pass Solar System…

Cosmology and Nongalactic Astrophysics · Physics 2016-11-01 Vincenzo Salzano , David F. Mota , Mariusz P. Dabrowski , Salvatore Capozziello

We study the consequences of the $f(R/\Box)$ gravity models for the Solar system and the large scale structure of the universe. The spherically symmetric solutions can be used to obtain bounds on the constant and the linear parts of the…

General Relativity and Quantum Cosmology · Physics 2008-12-18 Tomi S. Koivisto

We propose a simple field theory reproducing the MOND phenomenology at galaxy scale, while predicting negligible deviations from general relativity at small scales thanks to an extended Vainshtein ("k-mouflage") mechanism induced by a…

General Relativity and Quantum Cosmology · Physics 2011-09-15 Eugeny Babichev , Cedric Deffayet , Gilles Esposito-Farese

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

The large-scale structure in the Universe is believed to arise out of small random density perturbations generated in the very early Universe, that are amplified by gravity. Large and usually intricate N-body simulations are typically…

Astrophysics · Physics 2009-10-28 Sergei F. Shandarin , B. S. Sathyaprakash

We study a Lagrangian with a cubic Galileon term and a standard scalar-field kinetic contribution with two exponential potentials. In this model the Galileon field generates scaling solutions in which the density of the scalar field $\phi$…

Cosmology and Nongalactic Astrophysics · Physics 2022-03-02 Inês S. Albuquerque , Noemi Frusciante , Matteo Martinelli

Cosmological models with Galileon gravity are an alternative to the standard $\Lambda {\rm CDM}$ paradigm with testable predictions at the level of its self-accelerating solutions for the expansion history, as well as large-scale structure…

Cosmology and Nongalactic Astrophysics · Physics 2017-10-18 Janina Renk , Miguel Zumalacárregui , Francesco Montanari , Alexandre Barreira

We establish a void-based consistency test for Galileon scalar-tensor theories. We show that the previously reported unphysical breakdown of the predicted Newtonian force in certain Galileon models is controlled by a single condition…

Cosmology and Nongalactic Astrophysics · Physics 2026-04-20 Tommaso Moretti , Noemi Frusciante , Giovanni Verza , Francesco Pace

Vector fields in the expanding Universe are considered within the multidimensional theory of General Relativity. Vector fields in general relativity form a three-parametric variety. Our consideration includes the fields with a nonzero…

General Relativity and Quantum Cosmology · Physics 2015-05-28 Boris E. Meierovich

In Einstein's general relativity, gravity is mediated by a massless metric field. The extension of general relativity to consistently include a mass for the graviton has profound implications for gravitation and cosmology. Salient features…

General Relativity and Quantum Cosmology · Physics 2020-07-24 Lijing Shao , Norbert Wex , Shuang-Yong Zhou

We reconsider the construction of general derivative self-interactions for a massive Proca field. The constructed Lagrangian is such that the vector field propagates at most three degrees of freedom, thus avoiding the ghostly nature of a…

High Energy Physics - Theory · Physics 2020-04-13 Jose Beltrán Jiménez , Claudia de Rham , Lavinia Heisenberg

The Galileon theory belongs to the class of modified gravity models that can explain the late-time accelerated expansion of the Universe. In previous works, cosmological constraints on the Galileon model were derived, both in the uncoupled…

General Relativity and Quantum Cosmology · Physics 2017-03-29 J. Neveu , V. Ruhlmann-Kleider , P. Astier , M. Besançon , J. Guy , A. Möller , E. Babichev

We extend previous results on healthy derivative self-interactions for a Proca field to the case of a set of massive vector fields. We obtain non-gauge invariant derivative self-interactions for the vector fields that maintain the…

High Energy Physics - Theory · Physics 2017-03-15 Jose Beltrán Jiménez , Lavinia Heisenberg

We investigate the classical and quantum Proca field (a massive vector potential) of mass $m>0$ in arbitrary globally hyperbolic spacetimes and in the presence of external sources. We motivate a notion of continuity in the mass for families…

Mathematical Physics · Physics 2020-10-19 Maximilian Schambach , Ko Sanders

We consider a test of the Copernican Principle through observations of the large-scale structures, and for this purpose we study the self-gravitating system in a relativistic huge void universe model which does not invoke the Copernican…

General Relativity and Quantum Cosmology · Physics 2016-12-14 Ryusuke Nishikawa , Ken-ichi Nakao , Chul-Moon Yoo

We show that the current bounds on the time variation of the Newton constant G can put severe constraints on many interesting scalar-tensor theories which possess a shift symmetry and a nonminimal matter-scalar coupling. This includes, in…

General Relativity and Quantum Cosmology · Physics 2012-01-18 Eugeny Babichev , Cedric Deffayet , Gilles Esposito-Farese

Could a conformal Galileon be describing a gauge mode of a broader diffeomorphism invariant theory? We answer this question affirmatively in 3D by using a coset construction for a nonlinearly realized conformal symmetry. In particular, we…

High Energy Physics - Theory · Physics 2019-05-31 Gregory Gabadadze , Giorgi Tukhashvili

We lay out the frameworks to numerically study the structure formation in both linear and nonlinear regimes in general dark-matter-coupled scalar field models, and give an explicit example where the scalar field serves as a dynamical dark…

Cosmology and Nongalactic Astrophysics · Physics 2012-07-04 Baojiu Li , Hongsheng Zhao