The densitized lapse ('Taub function') and the Taub time gauge in cosmology.

The role of the Taub time gauge in cosmology is linked to the use of the densitized lapse function instead of the lapse function in the variational principle approach to the Einstein equations. The spatial metric variational equations then become the Ricci evolution equations, which are then supplem...

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Main Author: Jantzen, Robert.
Format: Villanova Faculty Authorship
Language:English
Published: 2004
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spelling The densitized lapse ('Taub function') and the Taub time gauge in cosmology.
Jantzen, Robert.
The role of the Taub time gauge in cosmology is linked to the use of the densitized lapse function instead of the lapse function in the variational principle approach to the Einstein equations. The spatial metric variational equations then become the Ricci evolution equations, which are then supplemented by the Einstein constraints which result from the variation with respect to the densitized lapse and the usual shift vector field. In those spatially homogeneous cases where the least disconnect occurs between the general theory and the restricted symmetry scenario, the recent adjustment of the conformal approach to solving the initial value problem resulting from densitized lapse considerations is seen to be inherent in the use of symmetry-adapted metric variables. The minimal distortion shift vector field is a natural vector potential for the new York thin sandwich initial data approach to the constraints, which in this case corresponds to the diagonal spatial metric gauge. For generic spacetimes, the new approach suggests defining a new minimal distortion shift gauge which agrees with the old gauge in the Taub time gauge, but which also makes its defining differential equation agree with the vector potential equation for solving the supermomentum constraint in any time gauge.
2004
Villanova Faculty Authorship
vudl:177412
Nuovo Cimento B 119, 2004, 119-715.
en
dc.title_txt_mv The densitized lapse ('Taub function') and the Taub time gauge in cosmology.
dc.creator_txt_mv Jantzen, Robert.
dc.description_txt_mv The role of the Taub time gauge in cosmology is linked to the use of the densitized lapse function instead of the lapse function in the variational principle approach to the Einstein equations. The spatial metric variational equations then become the Ricci evolution equations, which are then supplemented by the Einstein constraints which result from the variation with respect to the densitized lapse and the usual shift vector field. In those spatially homogeneous cases where the least disconnect occurs between the general theory and the restricted symmetry scenario, the recent adjustment of the conformal approach to solving the initial value problem resulting from densitized lapse considerations is seen to be inherent in the use of symmetry-adapted metric variables. The minimal distortion shift vector field is a natural vector potential for the new York thin sandwich initial data approach to the constraints, which in this case corresponds to the diagonal spatial metric gauge. For generic spacetimes, the new approach suggests defining a new minimal distortion shift gauge which agrees with the old gauge in the Taub time gauge, but which also makes its defining differential equation agree with the vector potential equation for solving the supermomentum constraint in any time gauge.
dc.date_txt_mv 2004
dc.format_txt_mv Villanova Faculty Authorship
dc.identifier_txt_mv vudl:177412
dc.source_txt_mv Nuovo Cimento B 119, 2004, 119-715.
dc.language_txt_mv en
author Jantzen, Robert.
spellingShingle Jantzen, Robert.
The densitized lapse ('Taub function') and the Taub time gauge in cosmology.
author_facet Jantzen, Robert.
dc_source_str_mv Nuovo Cimento B 119, 2004, 119-715.
format Villanova Faculty Authorship
author_sort Jantzen, Robert.
dc_date_str 2004
dc_title_str The densitized lapse ('Taub function') and the Taub time gauge in cosmology.
description The role of the Taub time gauge in cosmology is linked to the use of the densitized lapse function instead of the lapse function in the variational principle approach to the Einstein equations. The spatial metric variational equations then become the Ricci evolution equations, which are then supplemented by the Einstein constraints which result from the variation with respect to the densitized lapse and the usual shift vector field. In those spatially homogeneous cases where the least disconnect occurs between the general theory and the restricted symmetry scenario, the recent adjustment of the conformal approach to solving the initial value problem resulting from densitized lapse considerations is seen to be inherent in the use of symmetry-adapted metric variables. The minimal distortion shift vector field is a natural vector potential for the new York thin sandwich initial data approach to the constraints, which in this case corresponds to the diagonal spatial metric gauge. For generic spacetimes, the new approach suggests defining a new minimal distortion shift gauge which agrees with the old gauge in the Taub time gauge, but which also makes its defining differential equation agree with the vector potential equation for solving the supermomentum constraint in any time gauge.
title The densitized lapse ('Taub function') and the Taub time gauge in cosmology.
title_full The densitized lapse ('Taub function') and the Taub time gauge in cosmology.
title_fullStr The densitized lapse ('Taub function') and the Taub time gauge in cosmology.
title_full_unstemmed The densitized lapse ('Taub function') and the Taub time gauge in cosmology.
title_short The densitized lapse ('Taub function') and the Taub time gauge in cosmology.
title_sort densitized lapse ('taub function') and the taub time gauge in cosmology.
publishDate 2004
normalized_sort_date 2004-01-01T00:00:00Z
language English
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