A New Parametrization for Tetrad Gravity
Luca Lusanna (INFN, Firenze), Stefano Russo
TL;DR
This paper introduces a novel parametrization of tetrad variables in tetrad gravity, simplifying the constraint structure and facilitating comparisons with other formulations and the ADM formalism in asymptotically flat spacetimes.
Contribution
It develops a new parametrization of cotetrads in tetrad gravity, reducing constraints and enabling direct comparison with ADM metric gravity.
Findings
Seven first class constraints are expressed as vanishing canonical momenta.
The new parametrization simplifies the constraint structure.
Comparison with other tetrad models and ADM formalism is provided.
Abstract
A new version of tetrad gravity in globally hyperbolic, asymptotically flat at spatial infinity spacetimes with Cauchy surfaces diffeomorphic to is obtained by using a new parametrization of arbitrary cotetrads to define a set of configurational variables to be used in the ADM metric action. Seven of the fourteen first class constraints have the form of the vanishing of canonical momenta. A comparison is made with other models of tetrad gravity and with the ADM canonical formalism for metric gravity.
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