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 ArnowittDeserMisner 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 Weyltype 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:
 Departamento de Física, Universidade Federal da Paraíba, João Pessoa, PB 58059970 (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), 2731 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; SPACETIME; 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. 2015.
"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 ArnowittDeserMisner 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 Weyltype 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 = 2015,
month = 3
}
DOI: 10.1063/1.4913344
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