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Related papers: $\Phi^{4}$ Oscillatons

200 papers

Gravitational stability of torsion and inflaton field in a four-dimensional spacetime de Sitter solution in scalar-tensor cosmology where Cartan torsion propagates is investigated in detail. Inflaton and torsion evolution equations are…

General Relativity and Quantum Cosmology · Physics 2007-05-23 L. C. Garcia de Andrade

The lambda-phi4 kink is linearly and topologically stable. We study how extra energy perturbations are dissipated beyond the linear regime. We found that depending on the width, amplitude and energy of a Gaussian perturbation different…

Pattern Formation and Solitons · Physics 2010-04-28 Hernán Piragua , Patricio S. Letelier

Q-balls are non-topological solitons arising in scalar field theories. Solutions for rotating Q-balls (and the related boson stars) have been shown to exist when the angular momentum is equal to an integer multiple of the Q-ball charge $Q$.…

High Energy Physics - Theory · Physics 2024-04-11 Yahya Almumin , Julian Heeck , Arvind Rajaraman , Christopher B. Verhaaren

The Klein-Gordon equation for a scalar field sourced by a static spherically symmetric background is an interesting second-order differential equation with applications in particle physics, astrophysics, and elsewhere. Here we present…

Computational Physics · Physics 2024-07-17 Peter B. Denton

We study the stability of new neutral and electrically charged four-dimensional black hole solutions of Einstein's equations with a positive cosmological constant and conformally coupled scalar field. The neutral black holes are always…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Tom J. T. Harper , Paul A. Thomas , Elizabeth Winstanley , Phil M. Young

We determine the stability conditions for a radially symmetric noncommutative scalar soliton at finite noncommutivity parameter $\theta$. We find an intriguing relationship between the stability and existence conditions for all level-1…

High Energy Physics - Theory · Physics 2010-02-03 Mark G. Jackson

In this paper, we investigate the nature of Einstein solitons, whether it is steady, shrinking or expanding on almost $\alpha$-cosymplectic $3$-manifolds. We also prove that a simply connected homogeneous almost $\alpha$-cosymplectic…

General Mathematics · Mathematics 2023-01-31 Naeem Ahmad Pundeer , Paritosh Ghosh , Hemangi Madhusudan Shah , Arindam Bhattacharyya

Theory of the quantum quartic oscillator is developed with close attention to the energy cutoff one needs to impose on the system in order to approximate the smallest eigenvalues and corresponding eigenstates of its Hamiltonian by…

Quantum Physics · Physics 2024-04-29 M. Girguś , S. D. Głazek

Scalar particles are a common prediction of many beyond the Standard Model theories. If they are light and cold enough, there is a possibility they may form Bose-Einstein condensates, which will then become gravitationally bound. These…

Cosmology and Nongalactic Astrophysics · Physics 2016-10-19 Eric Cotner

A self-interacting SU(2)-doublet of complex scalar fields, minimally coupled to Einstein-Gauss-Bonnet gravity is considered in five space-time dimensions. The classical equations admit two families of solitons corresponding to spinning and…

General Relativity and Quantum Cosmology · Physics 2014-06-11 Yves Brihaye , Jürgen Riedel

We investigate neutron stars in scalar-tensor theories. We examine their secular stability against spherically symmetric perturbations by use of a turning point method. For some choices of the coupling function contained in the theories,…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Tomohiro Harada

Properties of the response functions for a two-dimensional quartic oscillator are studied based on the diagonalization of the Hamiltonian in a large model space. In particular, response functions corresponding to a given momentum transfer…

chao-dyn · Physics 2008-12-18 Hirokazu Aiba , Toru Suzuki

This paper investigates chains of rotating boson stars (BSs) within Einstein gravity coupled to a complex scalar field. The model incorporates quartic or sextic self-interactions in the scalar Lagrangian, which support the existence of…

General Relativity and Quantum Cosmology · Physics 2025-12-09 Hao-Ran Sun , Jing-Kang Bin , Li Zhao

We consider the nonlinear focusing Klein-Gordon equation in $1 + 1$ dimensions and the global space-time dynamics of solutions near the unstable soliton. Our main result is a proof of optimal decay, and local decay, for even perturbations…

Analysis of PDEs · Mathematics 2024-10-08 Adilbek Kairzhan , Fabio Pusateri

We present solutions to the Einstein-Klein Gordon system representing boson stars in the slow rotation approximation. By considering slow rotation we are able to reduce the number of equations yielding a system of ordinary differential…

General Relativity and Quantum Cosmology · Physics 2025-09-09 Jorge F. M. Delgado , Juan Carlos Degollado , Luis E. Martínez , Marcelo Salgado

We construct spherically symmetric boson star solutions in $D \in \{4,5,6\}$ spacetime dimensions, considering the effects of both a quartic self-interaction term and a solitonic potential. We then perform a perturbative analysis,…

General Relativity and Quantum Cosmology · Physics 2025-10-17 Gareth Arturo Marks , Abdullah Al Zaif

In this paper we consider a class of systems of two coupled real scalar fields in bidimensional spacetime, with the main motivation of studying classical or linear stability of soliton solutions. Firstly, we present the class of systems and…

High Energy Physics - Theory · Physics 2008-11-26 D. Bazeia , J. R. S. Nascimento , R. F. Ribeiro , D. Toledo

We study soliton solutions in scalar field theory with a variety of unbounded potentials. A subset of these potentials have Gaussian lump solutions and their fluctuation spectrum is governed by the harmonic oscillator problem. These lumps…

High Energy Physics - Theory · Physics 2009-11-07 Dileep P. Jatkar , Radhika Vathsan

We study the nonlinear radial stability of boson stars with a solitonic potential across the entire parameter space, focusing especially on families of solutions that support ultracompact models on the perturbatively stable branch. Using a…

General Relativity and Quantum Cosmology · Physics 2026-02-05 Gareth Arturo Marks

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
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