| Issue |
EPJ Web Conf.
Volume 158, 2017
The XXIII International Workshop “High Energy Physics and Quantum Field Theory” (QFTHEP 2017)
|
|
|---|---|---|
| Article Number | 05011 | |
| Number of page(s) | 6 | |
| Section | Astroparticle physics, Cosmology and Gravity Theory | |
| DOI | https://doi.org/10.1051/epjconf/201715805011 | |
| Published online | 24 October 2017 | |
https://doi.org/10.1051/epjconf/201715805011
Description of gravity in the model with independent nonsymmetric connection
Saint Petersburg State University, Saint Petersburg, Russia
⋆ e-mail: natakharuk@mail.ru
⋆⋆ e-mail: s.paston@spbu.ru
⋆⋆⋆ e-mail: a.sheykin@spbu.ru
Published online: 24 October 2017
A generalization of General Relativity is studied. The standard Einstein-Hilbert action is considered in the Palatini formalism, where the connection and the metric are independent variables, and the connection is not symmetric. As a result of variation with respect to the metric Einstein equations are obtained. A variation with respect to the connection leads to an arbitrariness in the determination of connection, i.e. the presence of gauge invariance. Then a matter in a form of point particle which interacts with field of connection is introduced. Also the action is complemented by a kinetic term for field of the connection to avoid incompatible equation of motion. Thus after the variation procedures we obtain the Einstein equations, the geodesic equation and the Maxwell's equations for electromagnetism, where some components of the connection play the role of the electromagnetic potential. Thereby the electromagnetic potential is obtained from the geometry of space-time.
© The authors, published by EDP Sciences, 2017
This is an Open Access article distributed under the terms of the Creative Commons Attribution License 4.0, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.