20–22 Sept 2022
Cairo University
Africa/Cairo timezone

Hamilton's equations for the teleparallel equivalent of general relativity

22 Sept 2022, 11:40
30m
FCAI seminar room (Cairo University)

FCAI seminar room

Cairo University

Speaker

Maria Jose Guzman (University of Tartu, Estonia)

Description

We compute Hamilton's equations for the teleparallel equivalent of general relativity (TEGR), which is a reformulation of general relativity based on a curvatureless, metric compatible, and torsionful connection. For this, we consider the Hamiltonian for TEGR expressed in the vector, antisymmetric, symmetric and trace-free, and trace decomposition of the phase space variables. We compare our results with Hamilton's equations of general relativity, and stress its importance for the formulation of the Cauchy problem in modifications based on this theory, as f(T) gravity, and its applicability in numerical relativity.

Author

Maria Jose Guzman (University of Tartu, Estonia)

Presentation materials