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The coupled Einstein-Dirac equations for a static, spherically symmetric system of two fermions in a singlet spinor state are derived. Using numerical methods, we construct an infinite number of soliton-like solutions of these equations.…

广义相对论与量子宇宙学 · 物理学 2010-11-19 Felix Finster , Joel Smoller , Shing-Tung Yau

We consider the coupled Einstein-Dirac-Maxwell equations for a static, spherically symmetric system of two fermions in a singlet spinor state. Soliton-like solutions are constructed numerically. The stability and the properties of the…

广义相对论与量子宇宙学 · 物理学 2010-11-19 Felix Finster , Joel Smoller , Shing-Tung Yau

The aim of this Note is to prove by a perturbation method the existence of solutions of the coupled Einstein-Dirac-Maxwell equations for a static, spherically symmetric system of two fermions in a singlet spinor state and with the…

偏微分方程分析 · 数学 2009-12-22 Simona Rota Nodari

The aim of this work is to prove by a perturbation method the existence of solutions of the coupled Einstein-Dirac equations for a static, spherically symmetric system of two fermions in a singlet spinor state. We relate the solutions of…

偏微分方程分析 · 数学 2009-10-05 Simona Rota Nodari

The Dirac equation, in the field of a traveling circularly polarized electromagnetic wave and a constant magnetic field, has singular solutions, corresponding the expansion of energy in vicinity of some singular point. These solutions…

量子物理 · 物理学 2014-05-15 Boris V. Gisin

We investigate self-gravitating solutions of the Einstein-Skyrme theory coupled to spin-isospin Dirac fermions and consider the dependence of the spectral flow on the effective gravitational coupling constant and on the Yukawa coupling. It…

高能物理 - 理论 · 物理学 2024-06-26 Vladimir Dzhunushaliev , Vladimir Folomeev , Jutta Kunz , Yakov Shnir

We consider a self-consistent axially symmetric system supported by a classical nonlinear spinor field minimally coupled to electric and magnetic Maxwell fields. The presence of the nonlinearity of the spinor field ensures the existence of…

高能物理 - 理论 · 物理学 2023-10-03 Vladimir Dzhunushaliev , Vladimir Folomeev

Using Einstein-Maxwell theory I investigate the gravitational field generated by an electric charge and a magnetic dipole, both held in fixed positions, but spinning with prescribed angular momenta. There is a conical singularity between…

广义相对论与量子宇宙学 · 物理学 2009-11-07 W. B. Bonnor

The metric-affine Lagrangian of Ponomarev and Obukhov for the unified gravitational and electromagnetic field is linear in the Ricci scalar and quadratic in the tensor of homothetic curvature. We apply to this Lagrangian the variational…

广义相对论与量子宇宙学 · 物理学 2011-06-15 Nikodem J. Poplawski

Quantum theory is formulated as a probabilistic theory on a flat Minkowski space-time, while general theory of relativity is formulated on a curved manifold as a geometric theory. Bohmian Quantum Gravity approach indicates that one need to…

综合物理 · 物理学 2018-10-31 Sijo K. Joseph

Starting with the 2+1 Einstein--Maxwell--Dilaton system with a cosmological constant and assuming two commuting Killing symmetries we derive the corresponding $1+0 \sigma$--model. It is shown that, for general values of the coupling…

高能物理 - 理论 · 物理学 2009-10-31 Chiang-Mei Chen

Dirac's equation in the field of a circularly polarized electromagnetic wave and constant magnetic field has exact localized non-stationary solutions. The solutions corresponds relativistic fermions only. Among them singular solutions with…

综合物理 · 物理学 2012-03-27 Boris V. Gisin

In the framework of Einstein-Maxwell-axion theory we consider static spherically symmetric solutions, which describe a magnetic monopole in the axionic environment. These solutions are interpreted as the solutions for an axionic dyon, the…

广义相对论与量子宇宙学 · 物理学 2017-08-08 Alexander B. Balakin , Alexei E. Zayats

I derive an exact, static, axially symmetric solution of the Einstein-Maxwell equations representing two massless magnetic dipoles, and compare it with the corresponding solution of Einstein's equations for two massless spinning particles…

广义相对论与量子宇宙学 · 物理学 2009-11-07 W. B. Bonnor

Principles of Maxwell, Lorentz, Milne, Dirac and Feynman are combined to unify gravity with electromagnetism.

综合物理 · 物理学 2012-09-28 Geoffrey F. Chew

One the base of Maxwell and Dirac equations the one biquaternionic model of electro-gravimagnetic (EGM) fields is considered. The closed system of biquaternionic wave equations is constructed for determination of free system of electric and…

综合物理 · 物理学 2016-07-06 Lyudmila Alexeyeva

Einstein-Dirac equations for two spinor fields are considered. It is shown that in this case one can obtain self-consistent equations set for these gravitating spinors. The key idea to obtain Einstein-Dirac equations is to use special…

广义相对论与量子宇宙学 · 物理学 2011-04-18 Vladimir Dzhunushaliev

We consider a spherically symmetric, static system of a Dirac particle interacting with classical gravity and an SU(2) Yang-Mills field. The corresponding Einstein-Dirac-Yang/Mills equations are derived. Using numerical methods, we find…

广义相对论与量子宇宙学 · 物理学 2010-11-19 Felix Finster , Joel Smoller , Shing-Tung Yau

Within Einstein-Dirac-Maxwell theory, we consider a wormhole solution supported by a complex non-phantom spinor field with a bare mass of the order of the Planck mass (which provides a nontrivial spacetime topology and an intrinsic angular…

广义相对论与量子宇宙学 · 物理学 2026-04-21 Vladimir Dzhunushaliev , Vladimir Folomeev

We show that it is possible to formulate the classical Einstein-Maxwell-Dirac theory of spinors interacting with the gravitational and electromagnetic fields as the Einstein-Cartan-Kibble-Sciama theory with the Ricci scalar of the traceless…

广义相对论与量子宇宙学 · 物理学 2011-06-30 Nikodem J. Poplawski
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