Speaker
Description
Both a metric and a tetrad $3+1$ formulation for a general affine connection is developed while also assuming nonmetricity. By splitting the space-time metric and tetrad into their spatial and temporal parts as well as through finding the Gauss-like equations for any tensor through which gravity is expressed, a general foundation for the formalisms is set up. Based on this foundation the resulting general $3$-tetrad and $3$-metric evolution equations are derived. Finally, through the choice of the two respective connections, the metric $3+1$ formulation for General Relativity is reaffirmed and the tetrad 3+1 formulation of the Teleparallel Equivalent of General Relativity and the metric 3+1 formulation of Symmetric Teleparallel Gravity with the coincident gauge are derived up to the latest state of the research.
