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Title: Extending the ADM formalism to Weyl geometry

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+l)-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.

Authors:
; ;  [1]
  1. Departamento de Física, Universidade Federal da Paraíba, João Pessoa, PB 58059-970 (Brazil)
Publication Date:
OSTI Identifier:
22391033
Resource Type:
Journal Article
Resource Relation:
Journal Name: AIP Conference Proceedings; Journal Volume: 1647; Journal Issue: 1; Conference: Conference on Cosmology and Gravitation in the Southern Cone, Valparaiso (Chile), 27-31 May 2013; Other Information: (c) 2015 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
79 ASTROPHYSICS, COSMOLOGY AND ASTRONOMY; COSMOLOGICAL MODELS; GEOMETRY; GRAVITATION; GRAVITATIONAL FIELDS; LAGRANGIAN FUNCTION; QUANTUM COSMOLOGY; RELATIVISTIC RANGE; SPACE-TIME; TENSORS

Citation Formats

Barreto, A. B., Almeida, T. S., and Romero, C. Extending the ADM formalism to Weyl geometry. United States: N. p., 2015. Web. doi:10.1063/1.4913344.
Barreto, A. B., Almeida, T. S., & Romero, C. Extending the ADM formalism to Weyl geometry. United States. doi:10.1063/1.4913344.
Barreto, A. B., Almeida, T. S., and Romero, C. Thu . "Extending the ADM formalism to Weyl geometry". United States. doi:10.1063/1.4913344.
@article{osti_22391033,
title = {Extending the ADM formalism to Weyl geometry},
author = {Barreto, A. B. and Almeida, T. S. and Romero, C.},
abstractNote = {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+l)-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.},
doi = {10.1063/1.4913344},
journal = {AIP Conference Proceedings},
number = 1,
volume = 1647,
place = {United States},
year = {Thu Mar 26 00:00:00 EDT 2015},
month = {Thu Mar 26 00:00:00 EDT 2015}
}