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Spherically symmetric oscillatons (also referred to as oscillating soliton stars) i.e. gravitationally bound oscillating scalar lumps are considered in theories containing a massive self-interacting real scalar field coupled to Einstein's…

General Relativity and Quantum Cosmology · Physics 2010-04-22 Gyula Fodor , Péter Forgács , Márk Mezei

Numerical simulations show that a massive real scalar field in a nonlinear theory can form long-lived oscillating localized states. For a self-interacting scalar on a fixed background these objects are named oscillons, while for the…

High Energy Physics - Theory · Physics 2019-11-11 Gyula Fodor

Numerical evidence is given that spherically symmetric perturbations of stable spherically symmetric steady states of the gravitational Vlasov-Poisson system lead to solutions which oscillate in time. The oscillations can be periodic in…

Mathematical Physics · Physics 2018-01-09 Tobias Ramming , Gerhard Rein

Oscillons, extremely long-living localized oscillations of a scalar field, are studied in theories with quartic and sine-Gordon potentials in two spatial dimensions. We present qualitative results concentrating largely on a study in…

High Energy Physics - Theory · Physics 2007-05-23 Mark Hindmarsh , Petja Salmi

The radiation loss of small-amplitude radially symmetric oscillons (long-living, spatially localized, time-dependent solutions) in two- and three-dimensional scalar field theories is computed analytically in the small-amplitude expansion.…

High Energy Physics - Theory · Physics 2009-11-19 Gyula Fodor , Péter Forgács , Zalán Horváth , Márk Mezei

We study the Cauchy problem for systems of cubic nonlinear Klein-Gordon equations with different masses in one space dimension. Under a suitable structural condition on the nonlinearity, we will show that the solution exists globally and…

Analysis of PDEs · Mathematics 2016-02-11 Donghyun Kim

We investigate stability of both localized time-periodic coherent states (pulsons) and uniformly distributed coherent states (oscillating condensate) of a real scalar field satisfying the Klein-Gordon equation with a logarithmic…

High Energy Physics - Theory · Physics 2019-01-29 Vladimir A. Koutvitsky , Eugene M. Maslov

In this paper, we will study some properties of oscillaton, spherically symmetric object made of a real time-dependent scalar field, Using a self- interaction quartic scalar potential instead of a quadratic or exponential ones discussed in…

General Relativity and Quantum Cosmology · Physics 2017-01-27 A. Mahmoodzadeh , B. Malekolkalami

We present an exhaustive analysis of the numerical evolution of the Einstein-Klein-Gordon equations for the case of a real scalar field endowed with a quadratic self-interaction potential. The self-gravitating equilibrium configurations are…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Miguel Alcubierre , Ricardo Becerril , F. Siddhartha Guzman , Tonatiuh Matos , Dario Nunez , L. Arturo Urena-Lopez

In this study, we analyze solutions of the wave equation for scalar particles in a space-time with nontrivial topology. Solutions for the Klein--Gordon oscillator are found considering two configurations of this space-time. In the first…

High Energy Physics - Theory · Physics 2019-11-04 L. C. N. Santos , C. E. Mota , C. C. Barros

Oscillons are spatially stationary, quasi-periodic solutions of nonlinear field theories seen in settings ranging from granular systems, low temperature condensates and early universe cosmology. We describe a new class of oscillon in which…

High Energy Physics - Theory · Physics 2017-01-23 Chang Liu , Richard Easther

Oscillons are extremely long-lived, spatially-localized field configurations in real-valued scalar field theories that slowly lose energy via radiation of scalar waves. Before their eventual demise, oscillons can pass through (one or more)…

High Energy Physics - Theory · Physics 2020-08-05 Hong-Yi Zhang , Mustafa A. Amin , Edmund J. Copeland , Paul M. Saffin , Kaloian D. Lozanov

Long-lived, spatially localized, and temporally oscillating nonlinear excitations are predicted by numerical simulation of coupled Gross-Pitaevskii equations. These oscillons closely resemble the time-periodic breather solutions of the…

In this paper, we study some interesting properties of a spherically symmetric oscillating soliton star made of a real time-dependent scalar field which is called an oscillaton. The known final configuration of an oscillaton consists of a…

General Relativity and Quantum Cosmology · Physics 2009-11-07 L. Arturo Urena-Lopez

We study the evolution of massless scalar waves propagating on spherically symmetric spacetimes with a non-zero cosmological constant. Considering test fields on both Schwarzschild-de Sitter and Reissner-Nordstrom-de Sitter backgrounds, we…

General Relativity and Quantum Cosmology · Physics 2009-10-28 Patrick R. Brady , Chris M. Chambers , William Krivan , Pablo Laguna

The tail problem for the propagation of a scalar field is considered in a cosmological background, taking a Robertson-Walker spacetime as a specific example. The explicit radial dependence of the general solution of the Klein-Gordon…

Astrophysics · Physics 2009-10-22 Valerio Faraoni , Sebastiano Sonego

We numerically evolve spherically symmetric solutions to the linear wave equation on some expanding Friedmann-Lema\^itre-Robertson-Walker (FLRW) spacetimes and study the respective asymptotics for large times. We find a quantitative…

General Relativity and Quantum Cosmology · Physics 2026-02-17 Flavio Rossetti , Alex Vañó-Viñuales

We study the dominant late-time behaviors of massive scalar fields in static and spherically symmetric spacetimes. Considering the field evolution in the far zone where the gravitational field is weak, we show under which conditions the…

General Relativity and Quantum Cosmology · Physics 2010-11-19 Hiroko Koyama , Akira Tomimatsu

We study the 1D Klein-Gordon equation with variable coefficient cubic nonlinearity. This problem exhibits a striking resonant interaction between the spatial frequencies of the nonlinear coefficients and the temporal oscillations of the…

Analysis of PDEs · Mathematics 2014-04-08 Hans Lindblad , Avy Soffer

In this paper, we consider the long time dynamics of radially symmetric solutions of nonlinear Schr\"odinger equations (NLS) having a minimal mass ground state. In particular, we show that there exist solutions with initial data near the…

Analysis of PDEs · Mathematics 2018-09-19 Scipio Cuccagna , Masaya Maeda
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