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Recently, no-go theorems for the existence of solitonic solutions in Einstein-Maxwell-scalar (EMS) models have been established in arXiv:1902.07721. Here we discuss how these theorems can be circumvented by a specific class of non-minimal…

General Relativity and Quantum Cosmology · Physics 2020-01-29 Carlos A. R. Herdeiro , João M. S. Oliveira , Eugen Radu

We study the stability of static, spherically symmetric solutions of Rastall's theory in the presence of a scalar field with respect to spherically symmetric perturbations. It is shown that the stability analysis is inconsistent in the…

General Relativity and Quantum Cosmology · Physics 2021-02-24 K. A. Bronnikov , Júlio C. Fabris , Oliver F. Piattella , Denis C. Rodrigues , Edison C. O. Santos

In this paper we study existence and orbital stability for solitary waves of the nonlinear Klein-Gordon equation. The energy of these solutions travels as a localized packet, hence they are a particular type of solitons. In particular we…

Analysis of PDEs · Mathematics 2007-12-10 J. Bellazzini , V. Benci , C. Bonanno , A. M. Micheletti

We consider the general scalar-tensor gravity without derivative couplings. By rescaling of the metric and reparametrization of the scalar field, the theory can be presented in different conformal frames and parametrizations. In this work…

General Relativity and Quantum Cosmology · Physics 2015-02-02 Laur Jarv , Piret Kuusk , Margus Saal , Ott Vilson

We present a comparative analysis of the self-gravitating solitons arising in the Einstein-Klein-Gordon, Einstein-Dirac and Einstein-Proca models, for the particular case of static, spherically symmetric spacetimes. Differently from the…

General Relativity and Quantum Cosmology · Physics 2020-12-08 Carlos A. R. Herdeiro , Eugen Radu

In this paper we investigate gravitationally bound, spherically symmetric equilibrium configurations consisting of ordinary (polytropic) matter nonminimally coupled to an external chameleon scalar field. We show that this system has static,…

Solar and Stellar Astrophysics · Physics 2012-04-03 Vladimir Folomeev , Douglas Singleton

We obtain localized field configurations with finite energy in a ($2+1$)-dimensional model with Maxwell and Chern-Simons gauge terms coupled to a massive complex scalar field. These non-topological solitons are characterized by the $U(1)$…

High Energy Physics - Theory · Physics 2026-02-05 Ivan Ivashkin , Eduard Kim , Emin Nugaev , Yakov Shnir

In this paper we consider a two component scalar field theory, with noncommutativity in its conjugate momentum space. We quantize such a theory in a compact space with the help of dressing transformations and we reveal a significant effect…

High Energy Physics - Theory · Physics 2017-10-02 Mir Mehedi Faruk , Mishkat Al Alvi , Wasif Ahmed , Md Muktadir Rahman , Arup Barua Apu

We study the exact solutions of both, massless and massive, scalar field theory on the noncommutative $AdS_2$. We also discuss some important limits in order to compare with known results.

High Energy Physics - Theory · Physics 2023-08-08 A. Pinzul , A. Stern

We study planar non-topological solitons in models with nonlinear potentials that are bounded from below. These models provide consistent completion for the classical consideration at any energy scale. The properties of our solutions…

High Energy Physics - Theory · Physics 2025-11-21 Yulia Galushkina , Eduard Kim , Emin Nugaev , Yakov Shnir

New developments on the symmetries of non-relativistic field theoretical models on the non commutative plane are reviewed. It is shown in particular that Galilean invariance strongly restricts the admissible interactions. Moreover, if a…

High Energy Physics - Theory · Physics 2014-11-18 P. A. Horvathy , L. Martina , P. C. Stichel

The Maxwell--Chern--Simons model with scaler matter in the adjoint representation is analyzed from an alternative approach which is regular in the $\theta \to 0$ limit. This method is complementary to the usual operator formalism applied to…

High Energy Physics - Theory · Physics 2010-10-27 Pradip Mukherjee , Anirban Saha

We find soliton solutions of the noncommutative Maxwell-Chern-Simons theory confined to a finite quantum Hall droplet. The solitons are exactly as hypothesized in \cite{Manu}. We also find new variations on these solitons. We compute their…

High Energy Physics - Theory · Physics 2009-11-11 G. Alexanian , M. B. Paranjape , I. Prémont-Schwarz

This paper is devoted to prove the existence of solitons on lattices. We are interested in solitary waves and solitons whose existence is related to the ratio energy/charge. These solitary waves are called hylomorphic. This class includes…

Analysis of PDEs · Mathematics 2010-03-09 Vieri Benci , Donato Fortunato

Noncommutative field theories are a class of theories beyond the standard model of elementary particle physics. Their importance may be summarized in two facts. Firstly as field theories on noncommutative spacetimes they come with natural…

High Energy Physics - Theory · Physics 2010-12-24 Earnest Akofor

If a scalar field theory in (1+1) dimensions possesses soliton solutions obeying first order BPS equations, then, in general, it is possible to find an infinite number of related field theories with BPS solitons which obey closely related…

High Energy Physics - Theory · Physics 2015-06-16 C. Adam , L. A. Ferreira , E. da Hora , A. Wereszczynski , W. J. Zakrzewski

We give a non-perturbative proof that any 4D unitary and Lorentz-invariant quantum field theory with a conserved scale current is in fact conformally invariant. We show that any scale invariant theory (unitary or not) must have either a…

High Energy Physics - Theory · Physics 2014-03-18 Kara Farnsworth , Markus A. Luty , Valentina Prelipina

We consider the Principal Chiral Field model posed in 1+1 dimensions into the Lie group $\text{SL}(2,\mathbb R)$. In this work we show the nonlinear stability of small enough nonsingular solitons. The method of proof involves the use of…

Analysis of PDEs · Mathematics 2026-02-16 Miguel Á. Alejo , Claudio Muñoz , Jessica Trespalacios

We find a relation between the spectrum of solitons of massive $N=2$ quantum field theories in $d=2$ and the scaling dimensions of chiral fields at the conformal point. The condition that the scaling dimensions be real imposes restrictions…

High Energy Physics - Theory · Physics 2009-10-22 S. Cecotti , C. Vafa

We explicitly find an exact spherically symmetric solution in quadratic non-metricity gravity. We show that the quadratic term acts as a cosmological constant. This solution contradicts all the claims in the literature that there is no…

General Relativity and Quantum Cosmology · Physics 2025-08-05 G. G. L. Nashed , Kazuharu Bamba