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Roughly speaking a solitary wave is a solution of a field equation whose energy travels as a localized packet and which preserves this localization in time. A solitary wave which has a non-vanishing angular momentum is called vortex. We…

Analysis of PDEs · Mathematics 2009-03-23 Vieri Benci , Donato Fortunato

Gravitational radiation is an elusive form of radiation predicted by general relativity, it is the subject of intense theoretical and experimental research at the limit of the sensitivity of today's instrumentation. In spite of the fact…

Space Physics · Physics 2009-11-07 Giorgio Fontana

We showed that compact bosonic objects can be formed through a process we called gravitational cooling. A central issue in the subject of boson star is whether a classical field configuration, {\it e.g.,} one described by the Klein-Gordon…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Edward Seidel , Wai-Mo Suen

The gas component plays a major role in the dynamics of spiral galaxies, because of its dissipative character, and its ability to exchange angular momentum with stars in the disk. Due to its small velocity dispersion, it triggers…

Astrophysics · Physics 2009-11-13 F. Combes

We formulate the soliton equations on the lattice in terms of the reduced Moyal algebra which includes one parameter. The vanishing limit of the parameter leads to the continuous soliton equations.

High Energy Physics - Theory · Physics 2009-10-31 Takao Koikawa

We consider localized soliton-like solutions in the presence of a stable scalar condensate background. By the analogy with classical mechanics, it can be shown that there may exist solutions of the nonlinear equations of motion that…

High Energy Physics - Theory · Physics 2016-12-14 E. Nugaev , A. Shkerin , M. Smolyakov

The nature of Galactic Center could be probed by lensing experiments capable of testing the spatial and velocity distributions of stars nearby and beyond it. Several hypotheses are possible (e.g. massive neutrino condensation, boson star)…

Astrophysics · Physics 2007-05-23 S. Capozziello , G. Iovane , G. Lambiase , D. F. Torres

It has been shown that scalar fields can form gravitationally bound compact objects called boson stars. In this study, we analyze boson star configurations where the scalar fields contain a small amount of angular momentum and find two new…

High Energy Physics - Theory · Physics 2021-04-28 Felix Kling , Arvind Rajaraman , Freida Liz Rivera

We introduce the concept of soliton clusters -- multi-soliton bound states in a homogeneous bulk optical medium, and reveal a key physical mechanism for their stabilization associated with a staircase-like phase distribution that induces a…

Pattern Formation and Solitons · Physics 2009-11-07 Anton S. Desyatnikov , Yuri S. Kivshar

We investigate the gravitational evolution of dark matter halos made up of a massless bosonic field. The coupled Einstein-Klein-Gordon equations are solved numerically, showing that such a boson halo is stable and can be formed under a…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Jayashree Balakrishna , Franz E. Schunck

Vortex solutions are topologically stable field configurations that can play an important role in condensed matter, field theory, and cosmology. We investigate vortex configuration in a 2+1 dimensional Abelian Higgs theory supplemented by…

High Energy Physics - Theory · Physics 2016-03-23 Javier Chagoya , Gianmassimo Tasinato

The behaviour of solitons in integrable theories is strongly constrained by the integrability of the theory; i.e. by the existence of an infinite number of conserved quantities which these theories are known to possess. One usually expects…

High Energy Physics - Theory · Physics 2009-10-30 Theodora Ioannidou

We examine the peculiar velocity distribution function of galaxies in cosmological many-body gravitational clustering. Our statistical mechanical approach derives a previous basic assumption and generalizes earlier results to galaxies with…

Astrophysics · Physics 2009-11-10 Bernard Leong , William Saslaw

We use the Klein-Gordon equation in a curved spacetime to construct the relativistic analog of the Schr\"odinger-Newton problem, where a scalar particle lives in a gravitational potential well generated by its own probability distribution.…

High Energy Physics - Theory · Physics 2023-07-12 D. A. Taylor , S. S. Chabysheva , J. R. Hiller

Optical vortices are phase singularities nested in electromagnetic waves that constitute a fascinating source of phenomena in the physics of light and display deep similarities to their close relatives, quantized vortices in superfluids and…

Pattern Formation and Solitons · Physics 2007-05-23 Anton S. Desyatnikov , Lluis Torner , Yuri S. Kivshar

We investigate a relativistic self-interacting gas in the field of an external {\it pp} gravitational wave. Based on symmetry considerations we ask for those forces which are able to compensate the imprint of the gravitational wave on the…

General Relativity and Quantum Cosmology · Physics 2015-06-25 Alexander B. Balakin , Winfried Zimdahl

We derive a version of the virial theorem that is applicable to diatomic planetary atmospheres that are in approximate thermal equilibrium at moderate temperatures and pressures and are sufficiently thin such that the gravitational…

General Physics · Physics 2010-09-23 Viktor T. Toth

Applying the Pomeransky inverse scattering method to the four-dimensional vacuum Einstein equations and using the Levi-Civita solution as a seed, we construct a two-soliton solution with cylindrical symmetry. In our previous work, we…

General Relativity and Quantum Cosmology · Physics 2016-09-05 Takahisa Igata , Shinya Tomizawa

It is shown that the RTG predicts an opportunity of the intensive production of gravitons at the early stage of evolution of the homogeneous isotropic Universe. A hypothesis is suggested that the produced gas of gravitons could be just the…

General Relativity and Quantum Cosmology · Physics 2007-05-23 S. S. Gershtein , A. A. Logunov , M. A. Mestvirishvili

After a brief introduction to gravitational lensing theory, a rough overview of the types of gravitational lensing statistics that have been performed so far will be given. I shall then concentrate on recent results of galaxy-galaxy…

Astrophysics · Physics 2021-04-28 Norbert Straumann