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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

We investigate squeezed states of composite bosons (cobosons) formed by pairs of spin-$1/2$ fermions, with emphasis on Frenkel-like cobosons. While squeezing for standard bosonic modes is well established, its extension to cobosons requires…

Quantum Physics · Physics 2026-01-19 Francisco Figueiredo , Itzhak Roditi

Spinning bosonic stars (SBSs) can form from the gravitational collapse of a dilute cloud of scalar/Proca particles with non-zero angular momentum. In a recent work we found that the scalar stars are transient due to a non-axisymmetric…

General Relativity and Quantum Cosmology · Physics 2020-12-09 Fabrizio Di Giovanni , Nicolas Sanchis-Gual , Pablo Cerdá-Durán , Miguel Zilhão , Carlos Herdeiro , José A. Font , Eugen Radu

Compared with even-even nuclear systems, the dynamical structure of low-lying excited states in odd-odd nuclei poses significantly greater theoretical challenges. The interacting boson fermion fermion model provides an effective framework…

Nuclear Theory · Physics 2026-03-17 Xiao Tong Li , Xi Deng , Yu Zhang

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 consider classical normal modes and non-interacting bosonic excitations in disordered systems. We emphasise generic aspects of such problems and parallels with disordered, non-interacting systems of fermions, and discuss in particular…

Disordered Systems and Neural Networks · Physics 2009-11-10 V. Gurarie , J. T. Chalker

We investigate static, spherically symmetric solutions in Einstein-scalar-Gauss-Bonnet gravity non-minimally coupled to a massless real scalar field, both in vacuum and in the presence of fermionic matter. Focusing on a specific quadratic…

General Relativity and Quantum Cosmology · Physics 2025-11-03 Roberto D. Alba Q. , Javier Chagoya , Armando A. Roque

Within the framework of the extended teleparallel gravity, a new class of boson stars has recently been constructed by introducing the nonminimal coupling of the scalar field to the torsion scalar. An interesting feature of these static,…

General Relativity and Quantum Cosmology · Physics 2015-08-31 Dubravko Horvat , Sasa Ilijic , Anamarija Kirin , Zoran Narancic

The stability of static solutions of the spherically symmetric, asymptotically flat Einstein-Vlasov system is studied using a Hamiltonian approach based on energy-Casimir functionals. The main result is a coercivity estimate for the…

Mathematical Physics · Physics 2015-06-05 Mahir Hadzic , Gerhard Rein

We investigate the effects ultralight bosonic field dark matter may have on the dynamics of unstable differentially-rotating neutron stars prone to the bar-mode instability. To this aim we perform numerical simulations in general relativity…

General Relativity and Quantum Cosmology · Physics 2022-08-17 Fabrizio Di Giovanni , Nicolás Sanchis-Gual , Davide Guerra , Miquel Miravet-Tenés , Pablo Cerdá-Durán , José Antonio Font

We investigate the stability of general-relativistic boson stars by classifying singularities of differential mappings and compare it with the results of perturbation theory. Depending on the particle number, the star has the following…

Astrophysics · Physics 2008-11-26 Fjodor V. Kusmartsev , Eckehard W. Mielke , Franz E. Schunck

In this paper we prove the nonlinear orbital stability of a large class of steady states solutions to the Hamiltonian Mean Field (HMF) system with a Poisson interaction potential. These steady states are obtained as minimizers of an energy…

Analysis of PDEs · Mathematics 2017-09-12 Marine Fontaine , Mohammed Lemou , Florian Méhats

We consider compact boson stars that arise for a V-shaped scalar field potential. They represent a one parameter family of solutions of the scaled Einstein-signum-Gordon equations. We analyze the physical properties of these solutions and…

General Relativity and Quantum Cosmology · Physics 2015-06-05 Betti Hartmann , Burkhard Kleihaus , Jutta Kunz , Isabell Schaffer

We study the bifurcation phenomena between spherical and axisymmetric bosonic stars. By numerically solving for the zero-modes of spherical bosonic stars under specific axially symmetric perturbations, we discover that excited state…

General Relativity and Quantum Cosmology · Physics 2025-03-18 Chen Liang , Carlos A. R. Herdeiro , Eugen Radu

We construct the first dynamically stable ergostars (equilibrium neutron stars that contain an ergoregion) for a compressible, causal equation of state. We demonstrate their stability by evolving both strict and perturbed equilibrium…

General Relativity and Quantum Cosmology · Physics 2019-12-11 Antonios Tsokaros , Milton Ruiz , Lunan Sun , Stuart L. Shapiro , Kōji Uryū

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

In this paper, we re-investigate the stationary, soliton-like solutions in the model of the Einstein gravity coupled to a free and complex scalar field, which have been known as mini-boson stars. With numerical method, we find that in…

General Relativity and Quantum Cosmology · Physics 2022-10-18 Shi-Xian Sun , Yong-Qiang Wang , Li Zhao

We systematically construct stationary soliton states in a one-component, two-dimensional, repulsive, Gross-Pitaevskii equation with a ring-shaped target-like trap similar to the potential used to confine a Bose-Einstein condensate in a…

Quantum Gases · Physics 2019-06-05 M. Haberichter , P. G. Kevrekidis , R. Carretero-Gonzalez , M. Edwards

We use a time-dependent dynamical mean-field-hydrodynamic model to study the formation of fermionic bright solitons in a trapped degenerate Fermi gas mixed with a Bose-Einstein condensate in a quasi-one-dimensional cigar-shaped geometry.…

Other Condensed Matter · Physics 2009-11-11 Sadhan K. Adhikari

Vector boson stars, or $\textit{Proca stars}$, have been recently obtained as fully non-linear numerical solutions of the Einstein-(complex)-Proca system. These are self-gravitating, everywhere non-singular, horizonless Bose-Einstein…

General Relativity and Quantum Cosmology · Physics 2017-05-31 Nicolas Sanchis-Gual , Carlos Herdeiro , Eugen Radu , Juan Carlos Degollado , José A. Font
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