Particle-Like Solutions of the Einstein-Dirac Equations

Perturbation Method for Particle-like Solutions of the Einstein-Dirac Equations

Particle-Like Solutions of the Einstein-Dirac-Maxwell Equations

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 ground state solutions are discussed for different values of the electromagnetic coupling constant. We find solutions even when the electromagnetic coupling is so...

The Interaction of Dirac Particles with Non-Abelian Gauge Fields and Gravity – Black Holes

We consider a static, spherically symmetric system of a Dirac particle in a classical gravitational and SU(2) Yang-Mills field. We prove that the only black-hole solutions of the corresponding Einstein-Dirac-Yang/Mills equations are the Bartnik-McKinnon black-hole solutions of the SU(2) Einstein-Yang/Mills equations; thus the spinors must vanish identically. This indicates that the Dirac partic...

The Coupling of Gravity to Spin and Electromagnetism

The coupled Einstein-Dirac-Maxwell equations are considered for a static, spherically symmetric system of two fermions in a singlet spinor state. Stable soliton-like solutions are shown to exist, and we discuss the regularizing effect of gravity from a Feynman diagram point of view. There are some interesting effects that result when one couples gravity, as expressed through Einstein’s equation...

Non-existence of black-hole solutions for the electroweak Einstein–Dirac–Yang/Mills equations

We consider a static, spherically symmetric system of a Dirac particle interacting with classical gravity and an electroweak Yang–Mills field. It is shown that the only black-hole solutions of the corresponding coupled equations must be the extreme Reissner–Nordström solutions, locally near the event horizon. This work generalizes a series of papers published by F Finster, J Smoller and S-T Yau...