School and Conference on Modern Mathematical Physics

9 - 14 September 2019, Belgrade, Serbia


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    E-mail: mphys10@ipb.ac.rs


Alexey Golovnev

Spin connections, local Lorentz transformations and cosmological perturbations in modified teleparallel theories of gravity

There used to be a lot of confusion in the literature regarding the properties of modified teleparallel gravity models such as f(T). The reason is that the local Lorentz rotations of a tetrad are realised as symmetries in TEGR only up to a surface term in the action. Of course, upon modification, they generically fail to be symmetries in any good sense, and new degree(s) of freedom do appear. These peculiarities must be properly taken into account even in most basic calculations of linear perturbation theory around the simplest cosmological backgrounds. In recent years there was considerable progress, and these topics got to be much better understood than before, though many important questions are yet unanswered. I will review both what we already know well, as well as give some speculations and personal opinions about the further development and perspectives of the field.


Institute of Physics Belgrade (University of Belgrade)
Belgrade, Serbia
Faculty of Mathematics (University of Belgrade)
Belgrade, Serbia
Mathematical Institute (Serbian Academy of Sciences and Arts)
Belgrade, Serbia
Faculty of Science (University of Kragujevac)
Kragujevac, Serbia
Serbian Academy of Sciences and Arts (SASA)
Belgrade, Serbia


Institute of Nuclear Sciences "VinĨa" (University of Belgrade)
Belgrade, Serbia
Institute of Physics (University of Kragujevac)
Kragujevac, Serbia
Faculty of Physics (University of Belgrade)
Belgrade, Serbia
Faculty of Sciences (University of Novi Sad)
Novi Sad, Serbia
School of Electrical Engineering (University of Belgrade)
Belgrade, Serbia
SEENET-MTP (Southeastern European Network in Mathematical and Theoretical Physics)
Nis, Serbia