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In this paper we study the evolution of a spherical matter overdensity in the context of the recently introduced Galileon field theory. Our analysis considers the complete covariant Lagrangian in four dimensions. This theory is composed by…

Cosmology and Nongalactic Astrophysics · Physics 2013-11-20 Emilio Bellini , Nicola Bartolo , Sabino Matarrese

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

Theories of modified gravity, in both the linear and fully non-linear regime, are often studied under the assumption that the evolution of the new (often scalar) degree of freedom present in the theory is quasi-static. This approximation…

General Relativity and Quantum Cosmology · Physics 2015-09-09 Hans A. Winther , Pedro G. Ferreira

We address the homogeneous in space and time (ST-homogeneous) G\"{o}del-type metrics within the cubic galileon theory, a particular class of generalized galileon theories. We check the consistency of such spacetimes for a physically…

General Relativity and Quantum Cosmology · Physics 2020-11-26 J. R. Nascimento , A. Yu. Petrov , P. Porfírio , A. F. Santos

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

In this paper we define covariant Galilean transformations in curved spacetime and find all scalar field theories invariant under this symmetry. The Slotheon is a Galilean invariant scalar field with a modified propagator such that,…

High Energy Physics - Theory · Physics 2013-05-30 Cristiano Germani , Luca Martucci , Parvin Moyassari

Biadjoint scalar field theories appear in the study of scattering amplitudes and classical solutions in gauge, gravity and related theories. In this paper, we present new exact solutions of biadjoint scalar field theory, showing that…

High Energy Physics - Theory · Physics 2025-02-04 Kymani Armstrong-Williams , Chris D. White

We develop a numerical algorithm to solve the high-order nonlinear derivative-coupling equation associated with the quartic Galileon model, and implement it in a modified version of the RAMSES N-body code to study the effect of the Galileon…

Cosmology and Nongalactic Astrophysics · Physics 2013-11-08 Baojiu Li , Alexandre Barreira , Carlton M. Baugh , Wojciech A. Hellwing , Kazuya Koyama , Silvia Pascoli , Gong-Bo Zhao

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

We study constant mean curvature Lorentzian hypersurfaces of $\mathbb{R}^{1,d+1}$ from the point of view of its Cauchy problem. We completely classify the spherically symmetric solutions, which include among them a manifold isometric to the…

Differential Geometry · Mathematics 2014-10-14 Willie Wai-Yeung Wong

We present a covariant study of static space-times, as such and as solutions of gravity theories. By expressing the relevant tensors through the velocity and the acceleration vectors that characterise static space-times, the field equations…

General Relativity and Quantum Cosmology · Physics 2023-09-14 Carlo Alberto Mantica , Luca Guido Molinari

We derive the 1-loop effective action of the cubic Galileon coupled to quantum-gravitational fluctuations in a background and gauge-independent manner, employing the covariant framework of DeWitt and Vilkovisky. Although the bare action…

High Energy Physics - Theory · Physics 2017-05-24 Ippocratis D. Saltas , Vincenzo Vitagliano

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

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

First we review some of the attempts made to find exact spherically symmetric solutions of Einstein field equations in the presence of scalar fields .Wyman solution in both static and non static scalar field is discussed briefly and it is…

General Relativity and Quantum Cosmology · Physics 2014-11-18 Mohammad Mehrpooya , D. Momeni

We investigate the conditions under which cosmological variations in physical `constants' and scalar fields are detectable on the surface of local gravitationally-bound systems, such as planets, in non-spherically symmetric background…

General Relativity and Quantum Cosmology · Physics 2011-07-19 Douglas J. Shaw , John D. Barrow

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

In this work we construct an effective four-dimensional model by compactifying a ten-dimensional theory of gravity coupled with a real scalar dilaton field on a time-dependent torus without the contributions of fluxes as first…

General Relativity and Quantum Cosmology · Physics 2019-11-21 J. Socorro , L. Toledo Sesma

In this paper we prove that the static solution of the Cauchy problem for a massless real scalar field that is sourced by a point charge in $1+1$ dimensions is asymptotically stable under perturbation by compactly-supported radiation. This…

Analysis of PDEs · Mathematics 2024-05-29 Lawrence Frolov , Samuel Leigh , A. Shadi Tahvildar-Zadeh

A scalar-tensor theory of gravity is considered wherein the gravitational coupling $G$ and the speed of light $c$ are admitted as space-time functions and combine to form the definition of the scalar field $\phi$. The varying $c$…

General Relativity and Quantum Cosmology · Physics 2023-04-05 Rodrigo R. Cuzinatto , Rajendra P. Gupta , Pedro J. Pompeia