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We study the late time cosmological evolution of $f(R)$ theories of modified gravity, with the matter content of the universe being that of collisional self interacting matter. We assume that the universe is described by a flat…

General Relativity and Quantum Cosmology · Physics 2015-06-22 V. K. Oikonomou , N. Karagiannakis

The dynamical effect of the cosmological constant $\Lambda$ on a single spherical void evolving in a the universe is investigated within a non linear perturbation of Newton-Friedmann models. The void expands with a huge initial burst which…

General Relativity and Quantum Cosmology · Physics 2010-11-23 Henri-Hugues Fliche , Roland Triay

This article offers a comprehensive survey of results obtained for solitons and complex nonlinear wave patterns supported by purely nonlinear lattices (NLs), which represent a spatially periodic modulation of the local strength and sign of…

Optics · Physics 2015-05-20 Yaroslav V. Kartashov , Boris A. Malomed , Lluis Torner

We consider a family of regularized defocusing nonlinear Schrodinger (NLS) equations proposed in the context of the cubic NLS equation with a bounded dispersion relation. The time evolution is well-posed if the black soliton is perturbed by…

Analysis of PDEs · Mathematics 2023-04-12 Dmitry E. Pelinovsky , Michael Plum

The existence and stability of stable bright solitons in one-dimensional (1D) media with a spatially periodical modulated Kerr nonlinearity are demonstrated by means of the linear-stability analysis and in direct numerical simulations. The…

Pattern Formation and Solitons · Physics 2019-09-24 Liangwei Zeng , Jianhua Zeng

We theoretically investigate the stable mechanism of a ring soliton in two-dimensional Fermi superfluids by solving the Bogoliubov-de Gennes equations and their time-dependent counterparts. In the uniform situation, we discover that the…

Quantum Gases · Physics 2026-01-27 Hao-Xuan Sun , Liu-Yang Cheng , Shi-Guo Peng , Yan-Qiang Li , Peng Zou

We study the conditions for the consistency of the Friedmann-Robertson-Walker (FRW) metric with the dynamical Chern-Simons modified gravity. It turns out to be that in this situation the accelerated expansion of the Universe takes place,…

High Energy Physics - Theory · Physics 2011-07-14 C. Furtado , J. R. Nascimento , A. Yu. Petrov , A. F. Santos

We model the physical behaviour at the surface of a relativistic radiating star in the strong gravity limit. The spacetime in the interior is taken to be spherically symmetrical and shear-free. The heat conduction in the interior of the…

General Relativity and Quantum Cosmology · Physics 2015-08-05 Gabriel Govender , Byron P. Brassel , Sunil D. Maharaj

We consider the scalar field solitons and their interaction with the fermions in the early Universe. The analytical form of the reflection coefficient is obtained. The fermion mass is a function of the distance between the fermion and the…

General Physics · Physics 2020-11-04 Andrey A. Kurakin , Sergey G. Rubin

We consider a spherically symmetric stellar model in general relativity whose interior consists of a pressureless fluid undergoing microscopic velocity diffusion in a cosmological scalar field. We show that the diffusion dynamics compel the…

General Relativity and Quantum Cosmology · Physics 2017-08-23 Artur Alho , Simone Calogero

We consider the problem of the formation of soliton states from a modulationally unstable initial condition in the framework of the Schr\"odinger-Poisson (or Newton-Schr\"odinger) equation accounting for gravitational interactions. We…

Pattern Formation and Solitons · Physics 2021-12-10 Josselin Garnier , Kilian Baudin , Adrien Fusaro , Antonio Picozzi

Fermion-boson stars are solutions of the gravitationally coupled Einstein-Klein-Gordon-Hydrodynamic equations system. By means of methods developed in previous works, we perform a stability analysis of fermion-boson stars that include a…

General Relativity and Quantum Cosmology · Physics 2020-10-21 Susana Valdez-Alvarado , Ricardo Becerril , L. Arturo Ureña-López

Stars are changing entities in a constant evolution during their lives. At non-secular time scales (from seconds to years) the effect of dynamical processes such as convection, rotation, and magnetic fields can modify the stellar…

Solar and Stellar Astrophysics · Physics 2019-07-09 S. Mathur , J. Ballot , R. A. Garcia

We present an analytic, perturbative solution to the Einstein equations with a scalar field that describes dynamical black holes in a slow-roll inflationary cosmology. We show that the metric evolves quasi-statically through a sequence of…

High Energy Physics - Theory · Physics 2018-07-25 Ruth Gregory , David Kastor , Jennie Traschen

We employ a time-dependent mean-field-hydrodynamic model to study the generation of bright solitons in a degenerate fermion-fermion mixture in a cigar-shaped geometry using variational and numerical methods. Due to a strong Pauli-blocking…

Other Condensed Matter · Physics 2007-05-23 Sadhan K. Adhikari

We characterize the collective modes of a soliton train in a quasi-one-dimensional Fermi superfluid, using a mean-field formalism. In addition to the expected Goldstone and Higgs modes, we find novel long-lived gapped modes associated with…

Quantum Gases · Physics 2017-07-03 Shovan Dutta , Erich J. Mueller

We present a brief overview of the basic concepts of the soliton stability theory and discuss some characteristic examples of the instability-induced soliton dynamics, in application to spatial optical solitons described by the NLS-type…

Pattern Formation and Solitons · Physics 2018-04-23 Yuri S. Kivshar , Andrey A. Sukhorukov

We study localized two- and three-dimensional Langmuir solitons in the framework of model based on generalized nonlinear Schr\"odinger equation that accounts for local and nonlocal contributions to electron-electron nonlinearity. General…

Space Physics · Physics 2007-05-23 T. A. Davydova , A. I. Yakimenko , Yu. A. Zaliznyak

We consider the dynamics of internal envelope solitons in a two-layer rotating fluid with a linearly varying bottom. It is shown that the most probable frequency of a carrier wave which constitutes the solitary wave is the frequency where…

Fluid Dynamics · Physics 2019-03-25 Yury Stepanyants

We investigate a coupled system of a Dirac particle and a pseudoscalar field in the form of a soliton in (1+1) dimensions and find some of its exact solutions numerically. We solve the coupled set of equations self-consistently and…

High Energy Physics - Theory · Physics 2013-09-13 Leila Shahkarami , Siamak S. Gousheh