Selected topics in teleparallel gravity

Teleparallel gravity can be seen as a gauge theory for the translation group. As such, its fundamental field is neither the tetrad nor the metric, but a gauge potential assuming values in the Lie algebra of the translation group. This gauge character makes of teleparallel gravity, despite its equivalence to general relativity, a rather peculiar theory. A first important point is that it does not rely on the universality of free fall, and consequently does not require the equivalence principle to describe the gravitational interaction. Another peculiarity is its similarity with Maxwell's theory, which allows an Abelian nonintegrable phase factor approach, and consequently a global formulation for gravitation. Application of these concepts to the motion of spinless particles, as well as to the COW and gravitational Aharonov-Bohm effects are presented and discussed.

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Main Authors: Aldrovandi,R., Pereira,J. G., Vu,K. H.
Format: Digital revista
Language:English
Published: Sociedade Brasileira de Física 2004
Online Access:http://old.scielo.br/scielo.php?script=sci_arttext&pid=S0103-97332004000700014
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spelling oai:scielo:S0103-973320040007000142005-01-28Selected topics in teleparallel gravityAldrovandi,R.Pereira,J. G.Vu,K. H.Teleparallel gravity can be seen as a gauge theory for the translation group. As such, its fundamental field is neither the tetrad nor the metric, but a gauge potential assuming values in the Lie algebra of the translation group. This gauge character makes of teleparallel gravity, despite its equivalence to general relativity, a rather peculiar theory. A first important point is that it does not rely on the universality of free fall, and consequently does not require the equivalence principle to describe the gravitational interaction. Another peculiarity is its similarity with Maxwell's theory, which allows an Abelian nonintegrable phase factor approach, and consequently a global formulation for gravitation. Application of these concepts to the motion of spinless particles, as well as to the COW and gravitational Aharonov-Bohm effects are presented and discussed.info:eu-repo/semantics/openAccessSociedade Brasileira de FísicaBrazilian Journal of Physics v.34 n.4a 20042004-12-01info:eu-repo/semantics/articletext/htmlhttp://old.scielo.br/scielo.php?script=sci_arttext&pid=S0103-97332004000700014en10.1590/S0103-97332004000700014
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language English
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author Aldrovandi,R.
Pereira,J. G.
Vu,K. H.
spellingShingle Aldrovandi,R.
Pereira,J. G.
Vu,K. H.
Selected topics in teleparallel gravity
author_facet Aldrovandi,R.
Pereira,J. G.
Vu,K. H.
author_sort Aldrovandi,R.
title Selected topics in teleparallel gravity
title_short Selected topics in teleparallel gravity
title_full Selected topics in teleparallel gravity
title_fullStr Selected topics in teleparallel gravity
title_full_unstemmed Selected topics in teleparallel gravity
title_sort selected topics in teleparallel gravity
description Teleparallel gravity can be seen as a gauge theory for the translation group. As such, its fundamental field is neither the tetrad nor the metric, but a gauge potential assuming values in the Lie algebra of the translation group. This gauge character makes of teleparallel gravity, despite its equivalence to general relativity, a rather peculiar theory. A first important point is that it does not rely on the universality of free fall, and consequently does not require the equivalence principle to describe the gravitational interaction. Another peculiarity is its similarity with Maxwell's theory, which allows an Abelian nonintegrable phase factor approach, and consequently a global formulation for gravitation. Application of these concepts to the motion of spinless particles, as well as to the COW and gravitational Aharonov-Bohm effects are presented and discussed.
publisher Sociedade Brasileira de Física
publishDate 2004
url http://old.scielo.br/scielo.php?script=sci_arttext&pid=S0103-97332004000700014
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