Dirac Particles in a Gravitational Field

Non-Existence of Black Hole Solutions for a Spherically Symmetric, Static Einstein-Dirac-Maxwell System

We consider for j = 1 2 , 3 2 , . . . a spherically symmetric, static system of (2j + 1) Dirac particles, each having total angular momentum j. The Dirac particles interact via a classical gravitational and electromagnetic field. The Einstein-Dirac-Maxwell equations for this system are derived. It is shown that, under weak regularity conditions on the form of the horizon, the only black hole so...

Semiclassical Dynamics of Dirac particles interacting with a Static Gravitational Field

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...

Octonionic Strong and Weak Interactions and Their Quantum Equations

By analogy with the octonionic electromagnetic and gravitational interactions, the octonionic strong and weak interactions and their quantum interplays are discussed. In weak interaction, the study deduces some conclusions of field sources and intermediate particles, which are consistent with the Dirac equation, Yang-Mills equation, some new intermediate particles and three kinds of colors etc....

Dirac equation is separable on the dyon black hole metric.

Using the tetrad formalism, we carry out the separation of variables for the massive complex Dirac equation in the gravitational and electromagnetic field of a four-parameter (mass, angular momentum, electric and magnetic charges) black hole. PACS Numbers: 04.40.+c, 97.60.Lf e-mail(bitnet): semiz@yalehep