Absence of Stationary, Spherically Symmetric Black Hole Solutions for Einstein-Dirac-Yang/Mills Equations with Angular Momentum
نویسندگان
چکیده
We study a stationary, spherically symmetric system of (2j + 1) massive Dirac particles, each having angular momentum j, j = 1, 2, . . ., in a classical gravitational and SU(2) Yang-Mills field. We show that for any black hole solution of the associated Einstein-Dirac-Yang/Mills equations, the spinors must vanish identically outside of the event horizon.
منابع مشابه
Absence of Static, Spherically Symmetric Black Hole Solutions for Einstein-Dirac-Yang/Mills Equations with Complete Fermion Shells
We study a static, spherically symmetric system of (2j + 1) massive Dirac particles, each having angular momentum j, j = 1, 2, . . . , in a classical gravitational and SU(2) Yang-Mills field. We show that for any black hole solution of the associated Einstein-Dirac-Yang/Mills equations, the spinors must vanish identically outside of the event horizon. e-print archive: http://xxx.lanl.gov/gr-qc/...
متن کاملAbsence of Static, Spherically Symmetric Black Hole Solutions for Einstein-Dirac-Yang/Mills Equations with Angular Momentum of the Fermions
We study a static, spherically symmetric system of (2j+1) massive Dirac particles, each having angular momentum j, j = 1, 2, . . ., in a classical gravitational and SU(2) Yang-Mills field. We show that for any black hole solution of the associated EinsteinDirac-Yang/Mills equations, the spinors must vanish identically outside of the event horizon.
متن کاملRotating Einstein-Yang-Mills Black Holes
We construct rotating hairy black holes in SU(2) Einstein-Yang-Mills theory. These stationary axially symmetric black holes are asymptotically flat. They possess non-trivial non-Abelian gauge fields outside their regular event horizon, and they carry non-Abelian electric charge. In the limit of vanishing angular momentum, they emerge from the neutral static spherically symmetric EinsteinYang-Mi...
متن کاملThe 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...
متن کاملNon-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...
متن کامل