https://doi.org/10.1051/epjconf/201819107007
Modifying the theory of gravity by changing independent variables
Saint Petersburg State University, Saint-Petersburg, Russia
* e-mail: natakharuk@mail.ru
** e-mail: s.manida@spbu.ru
*** e-mail: s.paston@spbu.ru
**** e-mail: a.sheykin@spbu.ru
Published online: 31 October 2018
We study some particular modifications of gravity in search for a natural way to unify the gravitational and electromagnetic interaction. The certain components of connection in the appearing variants of the theory can be identified with electromagnetic potential. The methods of adding matter in the form of scalar and spinor fields are studied. In particular, the expansion of the local symmetry group up to GL(2,C) is explored, in which equations of Einstein, Maxwell and Dirac are reproduced for the theory with Weyl spinor.
© The Authors, published by EDP Sciences, 2018
This is an Open Access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
