Spherically symmetric solution in Einstein-Dirac gravity on Hopf bundle
Seminars
Seminar of Hadron Physics
Date and Time: Friday, 16 December 2016, at 11:00 AM
Venue: Blokhintsev Hall (4th floor), Bogoliubov Laboratory of Theoretical Physics
Seminar topic: «Spherically symmetric solution in Einstein-Dirac gravity on Hopf bundle»
Speaker: Vladimir Dzhunushaliev (Al-Farabi Kazakh National University, Almaty, Kazakhstan)
Abstract:
The spherically symmetric solution in Einstein-Dirac gravity is considered where the space section is the Hopf bundle. We use two Weyl spinors to obtain diagonal energy-momentum tensor that is necessary to have spherically symmetric gravitating solution. The solution for non-gravitating Dirac equation on the background of Lorentzian spacetime with the Hopf bundle as the space section are obtained also. Non-gravitating solutions for Dirac equation are defined by two half integer numbers m, n. The spherically symmetric gravitating solution for Einstein-Dirac equations are defined by m=0, n=1/2.