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Journal Article

Dirac equation for embedded four-geometries

MPS-Authors
http://pubman.mpdl.mpg.de/cone/persons/resource/persons49383

Trzetrzelewski,  M. T.
Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Fulltext (public)

1103.2594v2.pdf
(Preprint), 995KB

IntJoMPD22_1350024.pdf
(Any fulltext), 743KB

Supplementary Material (public)
There is no public supplementary material available
Citation

Trzetrzelewski, M. T. (2013). Dirac equation for embedded four-geometries. International Journal of Modern Physics D, 22(6): 13500247. doi:10.1142/S0218271813500247.


Cite as: http://hdl.handle.net/11858/00-001M-0000-000F-4D99-6
Abstract
We apply Dirac's square root idea to constraints for embedded 4-geometries swept by a 3-dimensional membrane. The resulting Dirac-like equation is then analyzed for general coordinates as well as for the case of a Friedmann-Robertson-Walker metric for spatially closed geometries. The problem of the singularity formation at quantum level is addressed.