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An introduction to solutions of the Einstein equations defining cosmological models with accelerated expansion is given. Connections between mathematical and physical issues are explored. Theorems which have been proved for solutions with…

General Relativity and Quantum Cosmology · Physics 2015-06-25 Alan D. Rendall

We put forward an improved version of the Galilean Genesis model that addresses the problem of superluminality. We demote the full conformal group to Poincare symmetry plus dilations, supplemented with approximate galilean shift invariance…

High Energy Physics - Theory · Physics 2013-02-28 Paolo Creminelli , Kurt Hinterbichler , Justin Khoury , Alberto Nicolis , Enrico Trincherini

It has been pointed out that non-singular cosmological solutions in second-order scalar-tensor theories generically suffer from gradient instabilities. We extend this no-go result to second-order gravitational theories with an arbitrary…

High Energy Physics - Theory · Physics 2017-04-11 Shingo Akama , Tsutomu Kobayashi

This paper presents a study of the isosceles problem resulting by a perturbation of Euler's collinear solution under Newtonian gravitational attraction of three bodies in space. After the Hamiltonian was obtained, a circumference of…

Dynamical Systems · Mathematics 2025-03-19 Karine Santos

We suggest that galileon theories should have an additional self-coupling of the fields to the trace of their own energy-momentum tensor. We explore the classical features of one such model, in flat 4D spacetime, with emphasis on solutions…

High Energy Physics - Theory · Physics 2015-06-05 Thomas L. Curtright , David B. Fairlie

We study spherically symmetric solutions of the cubic covariant Galileon model in curved spacetime in presence of a matter source, in the test scalar field approximation. We show that a cosmological time evolution of the Galileon field…

General Relativity and Quantum Cosmology · Physics 2013-02-19 Eugeny Babichev , Gilles Esposito-Farese

Studying the physics of compact objects in modified theories of gravity is important for understanding how future observations can test alternatives to General Relativity. We consider a subset of vector-tensor Galileon theories of gravity…

High Energy Physics - Theory · Physics 2018-02-14 Javier Chagoya , Gianmassimo Tasinato

We study the classical and quantum "properties" of Galilean fermions in 3+1 dimensions. We have taken the case of massless Galilean fermions minimally coupled to the scalar field. At the classical level, the Lagrangian is obtained by null…

High Energy Physics - Theory · Physics 2023-06-13 Aditya Sharma

The recently proposed chameleonic extension of bigravity theory, by including a scalar field dependence in the graviton potential, avoids several fine-tunings found to be necessary in usual massive bigravity. In particular it ensures that…

High Energy Physics - Theory · Physics 2018-02-07 Antonio De Felice , Shinji Mukohyama , Michele Oliosi , Yota Watanabe

The discovery of the accelerated expansion of the universe highlighted General Relativity's inability to naturally account for dark energy without invoking a finely tuned cosmological constant. In response, a wide range of alternative…

General Relativity and Quantum Cosmology · Physics 2025-11-11 P. A. G. Monteiro , C. J. A. P. Martins

Previous work in the literature has studied the Hamiltonian structure of an R-squared model of gravity with torsion in a closed Friedmann-Robertson-Walker universe. Within the framework of Dirac's theory, torsion is found to lead to a…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Giampiero Esposito , Gabriele Gionti , Giuseppe Marmo , Cosimo Stornaiolo

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 investigate the cosmology of a recently proposed deformation of Einstein gravity, emerging from quantum gravity heuristics. The theory is constructed to have de Sitter space as a vacuum solution, and thus to be relevant to the…

After defining conformal Galilean-type algebras for arbitrary dynamical exponent $z$ we consider the particular cases of the conformal Galilei algebra (CGA) and the Schr\"odinger Lie algebra (sch). Galilei massless particles moving with…

High Energy Physics - Theory · Physics 2009-08-11 Peter C. Stichel

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

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

The fluid model for the dark sector of the universe (darkon fluid) introduced previously in \cite{PRD} is reformulated as a modified model involving only variables from physical phase space. The Lagrangian of the model does not possess a…

High Energy Physics - Theory · Physics 2010-12-15 P. C. Stichel , W. J. Zakrzewski

We have developed a new formulation to obtain self-gravitating, axisymmetric configurations in permanent rotation. The formulation is based on the Lagrangian variational principle with a triangulated mesh. It treats not only barotropic but…

High Energy Astrophysical Phenomena · Physics 2016-09-21 Nobutoshi Yasutake , Kotaro Fujisawa , Shoichi Yamada

The issue of a self-consistent solution of Maxwell-Einstein equations achieves a very simple form when all quantum effects are neglected but a weak vacuum polarization due to an external magnetic field is taken into account. From a…

General Relativity and Quantum Cosmology · Physics 2007-05-23 R. Klippert , V. A. De Lorenci , M. Novello , J. M. Salim

We investigate spherically symmetric equilibrium states of the Vlasov-Poisson system, relevant in galactic dynamics. We recast the equations into a regular three-dimensional system of autonomous first order ordinary differential equations…

Mathematical Physics · Physics 2007-10-31 J. Mark Heinzle , Alan D. Rendall , Claes Uggla
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