Семинар 11 июня 2019. Maria Jose Guzman. Modified teleparallel gravity, degrees of freedom, and local Lorentz invariance

*by: , @ Wed, 05 Jun 2019 17:54:02 +0400*

11 июня 2019, в 12:45

Кафедра физики высоких энергий и элементарных частиц

María José Guzmán Monsalve

(Universidad de La Serena, Chile)

Modified teleparallel gravity, degrees of freedom, and local Lorentz

invariance

We will introduce the theoretical foundations of the teleparallel

equivalent of general relativity, a theory of gravity where the

fundamental field is the vielbein or tetrad instead of the metric

tensor. This defines a non-trivial spacetime where torsion describes the

gravitational phenomena, provided that the curvature is set to zero. We

will consider several theories of modified gravity in the teleparallel

formalism, in particular f(T) gravity. This kind of theories have gained

popularity in recent years due to its versatility to predict new physics

in both high and low energy regimes. Some modified teleparallel schemes

have been successful in smoothing black hole singularities and making

new predictions in cosmology. The theory comes with additional degree(s)

of freedom due to the breaking of local Lorentz symmetry, whose physical

interpretation remains to be understood, and nowadays it comprehends an

active field of research. We will focus on the study of the additional

degrees of freedom of modified teleparallel gravities through the

Dirac-Bergmann algorithm for constrained Hamiltonian systems, and its

relation with the partial violation of local Lorentz symmetry.