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arXiv · 1503.08455

Extending the ADM formalism to Weyl geometry

A. B. Barreto·T. S. Almeida·C. Romero
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Abstract

In order to treat quantum cosmology in the framework of Weyl spacetimes we take the first step of extending the Arnowitt-Deser-Misner formalism to Weyl geometry. We then obtain an expression of the curvature tensor in terms of spatial quantities by splitting spacetime in (3+1)-dimensional form. We next write the Lagrangian of the gravitation field based in Weyl-type gravity theory. We extend the general relativistic formalism in such a way that it can be applied to investigate the quantum cosmology of models whose spacetimes are endowed with a Weyl geometrical structure.

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A. B. Barreto, T. S. Almeida, C. Romero. 2015-03-29. Extending the ADM formalism to Weyl geometry. https://doi.org/10.1063/1.4913344

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