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We analyse a stationary, cylindrically symmetric spacetime endowed with an intrinsic helical twist, $ds^{2} = -dt^{2} + dr^{2} + r^{2} d\phi^{2} + (dz + \omega\, r\,d\phi)^{2}$. Solving the Einstein equations exactly yields an anisotropic…

General Relativity and Quantum Cosmology · Physics 2025-10-28 Edilberto O. Silva , Frankbelson dos S. Azevedo , Faizuddin Ahmed

Dark energy models can be seen as dynamical systems. In this paper we show that multi-field models with a curved field space give rise to new critical points and we analyse their stability. These are new accelerating solutions in late-time…

General Relativity and Quantum Cosmology · Physics 2020-05-27 Michele Cicoli , Giuseppe Dibitetto , Francisco G. Pedro

We study the classical dynamics of a particle in nonrelativistic Snyder-de Sitter space. We show that for spherically symmetric systems, parametrizing the solutions in terms of an auxiliary time variable, which is a function only of the…

High Energy Physics - Theory · Physics 2015-06-16 B. Ivetic , S. Meljanac , S. Mignemi

In the context of generalised Brans-Dicke cosmology we use the Killing tensors of the minisuperspace in order to determine the unspecified potential of a scalar-tensor gravity theory. Specifically, based on the existence of contact…

General Relativity and Quantum Cosmology · Physics 2017-01-24 G. Papagiannopoulos , John D. Barrow , S. Basilakos , A. Giacomini , A. Paliathanasis

This paper reviews the dynamics of an isotropic and homogeneous cosmological scalar field. A general approach to the solution of the Einstein-Klein-Gordon equations is developed, which does not require slow-roll or other approximations.…

General Relativity and Quantum Cosmology · Physics 2025-04-15 J. W. van Holten

We devise a novel duality sequence to study late-time cosmology in the heterotic E_8 x E_8 setup of Horava and Witten with dynamical walls that are moving towards each other. Surprisingly, we find that the dimensionally reduced…

High Energy Physics - Theory · Physics 2025-12-18 Suddhasattwa Brahma , Keshav Dasgupta , Bohdan Kulinich , Archana Maji , P. Ramadevi , Radu Tatar

In this paper, we discuss the dynamics of two- scalar-field cosmological models. Unlike in the situation of exponential potential, we find that there are late-time attractors in which one scalar field dominates the energy density of…

General Relativity and Quantum Cosmology · Physics 2017-11-09 Yu Li

A quasi-geostrophic intermediate complexity model is considered, providing a schematic representation of the baroclinic conversion processes which characterize the physics of the mid-latitudes atmospheric circulation. The model is relaxed…

Atmospheric and Oceanic Physics · Physics 2016-09-08 Valerio Lucarini , Antonio Speranza , Renato VItolo

In the scalar-tensor theory of gravitation it seems nontrivial to establish if solutions of the cosmological equations in the presence of a cosmological constant behave as attractors independently of the initial values. We develop a general…

High Energy Physics - Theory · Physics 2009-11-06 Kei-ichi Maeda , Yasunori Fujii

A spatially flat Robertson-Walker spacetime driven by a cosmological constant is non-conformally coupled to a massless scalar field. The equations of semiclassical gravity are explicitly solved for this case, and a self-consistent de Sitter…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Guillem Perez-Nadal , Albert Roura , Enric Verdaguer

We consider a universe with a positive effective cosmological constant and a nonminimally coupled scalar field. When the coupling constant is negative, the scalar field exhibits linear growth at asymptotically late times, resulting in a…

General Relativity and Quantum Cosmology · Physics 2015-04-06 Dražen Glavan , Tomislav Prokopec

In this paper we investigate cosmological dynamics on the normal branch of a DGP-inspired scenario within a phase space approach where induced gravity is modified in the spirit of $f(R)$-theories. We apply the dynamical system analysis to…

General Relativity and Quantum Cosmology · Physics 2015-05-19 Kourosh Nozari , Faeze Kiani

The de Sitter spacetime is transitive under a combination of translations and proper conformal transformations. Its usual family of geodesics, however, does not take into account this property. As a consequence, there are points in de…

General Relativity and Quantum Cosmology · Physics 2012-05-01 J. G. Pereira , A. C. Sampson

Gravitational physics is arguably better understood in the presence of a negative cosmological constant than a positive one, yet there exist strong technical similarities between the two settings. These similarities can be exploited to…

High Energy Physics - Theory · Physics 2020-10-21 Alice Di Tucci , Michal P. Heller , Jean-Luc Lehners

The quark-gluon plasma created in heavy-ion collisions is not in local thermal equilibrium at early times. Despite this, dissipative hydrodynamics describes the evolution of the energy-momentum tensor quite well after only roughly 0.5 - 1…

High Energy Physics - Phenomenology · Physics 2019-07-24 Michael Strickland

We study the $N$ fracton problem in classical mechanics, with fractons defined as point particles that conserve multipole moments up to a given order. We find that the nonlinear Machian dynamics of the fractons is characterized by late-time…

Statistical Mechanics · Physics 2024-07-04 Abhishodh Prakash , Ylias Sadki , S. L. Sondhi

The paper is devoted to a modification of the classical Cahn-Hilliard equation proposed by some physicists. This modification is obtained by adding the second time derivative of the order parameter multiplied by an inertial coefficient…

Analysis of PDEs · Mathematics 2015-05-14 Maurizio Grasselli , Giulio Schimperna , Sergey Zelik

We investigate the cosmological dynamics in a spatially flat Friedmann--Lema\^{\i}tre--Robertson--Walker geometry in scalar-tensor and scalar-torsion theories where the nonminimally coupled scalar field is a complex field. We derive the…

General Relativity and Quantum Cosmology · Physics 2022-11-23 Andronikos Paliathanasis

We apply our recently developed scaling technique for obtaining late-time asymptotics to the cubic nonlinear wave equation and explain appearance and approach to the two-parameter attractor found recently by Bizon and Zenginoglu.

Mathematical Physics · Physics 2010-08-19 Nikodem Szpak

In the framework of extended gravity theories, we discuss the meaning of a time dependent "cosmological constant" and give a set of conditions to recover asymptotic de Sitter behaviour for a class of cosmological models independently of…

General Relativity and Quantum Cosmology · Physics 2008-11-26 S. Capozziello , R. de Ritis , A. A. Marino