Geometric transport along circular orbits in stationary axisymmetric spacetimes.

Geometric transport along circular orbits in stationary axisymmetric spacetimes.

Parallel transport along circular orbits in orthogonally transitive stationary axisymmetric spacetimes is described explicitly relative to Lie transport in terms of the electric and magnetic parts of the induced connection. The influence of both the gravitoelectromagnetic fields associated with the...

Full description

Bibliographic Details
Main Authors: Bini, Donato., Cherubini, Christian., Cruciani, Gianluca., Jantzen, Robert.
Format: Villanova Faculty Authorship
Language:English
Published: 2004
Online Access:http://ezproxy.villanova.edu/login?url=https://digital.library.villanova.edu/Item/vudl:177367
id vudl:177367
record_format vudl
institution Villanova University
collection Digital Library
modeltype_str_mv vudl-system:ResourceCollection
vudl-system:CollectionModel
vudl-system:CoreModel
datastream_str_mv THUMBNAIL
PARENT-QUERY
LEGACY-METS
AUDIT
LICENSE
MEMBER-LIST-RAW
AGENTS
STRUCTMAP
DC
PARENT-LIST-RAW
RELS-EXT
PARENT-LIST
PROCESS-MD
MEMBER-QUERY
hierarchytype
hierarchy_all_parents_str_mv vudl:177342
vudl:172968
vudl:641262
vudl:3
vudl:1
sequence_vudl_177342_str 0000000009
hierarchy_top_id vudl:641262
hierarchy_top_title Villanova Faculty Publications
fedora_parent_id_str_mv vudl:177342
hierarchy_first_parent_id_str vudl:177367
hierarchy_parent_id vudl:177342
hierarchy_parent_title Jantzen Robert
hierarchy_sequence_sort_str 0000000009
hierarchy_sequence 0000000009
spelling Geometric transport along circular orbits in stationary axisymmetric spacetimes.
Bini, Donato.
Cherubini, Christian.
Cruciani, Gianluca.
Jantzen, Robert.
Parallel transport along circular orbits in orthogonally transitive stationary axisymmetric spacetimes is described explicitly relative to Lie transport in terms of the electric and magnetic parts of the induced connection. The influence of both the gravitoelectromagnetic fields associated with the zero angular momentum observers and of the Frenet-Serret parameters of these orbits as a function of their angular velocity is seen on the behavior of parallel transport through its representation as a parameter-dependent Lorentz transformation between these two inner-product preserving transports which is generated by the induced connection. This extends the analysis of parallel transport in the equatorial plane of the Kerr spacetime to the entire spacetime outside the black hole horizon, and helps give an intuitive picture of how competing 'central attraction forces' and centripetal accelerations contribute with gravitomagnetic effects to explain the behavior of the 4-acceleration of circular orbits in that spacetime.
2004
Villanova Faculty Authorship
vudl:177367
International Journal of Modern Physics D 13, 2004, 1771- 1804.
en
dc.title_txt_mv Geometric transport along circular orbits in stationary axisymmetric spacetimes.
dc.creator_txt_mv Bini, Donato.
Cherubini, Christian.
Cruciani, Gianluca.
Jantzen, Robert.
dc.description_txt_mv Parallel transport along circular orbits in orthogonally transitive stationary axisymmetric spacetimes is described explicitly relative to Lie transport in terms of the electric and magnetic parts of the induced connection. The influence of both the gravitoelectromagnetic fields associated with the zero angular momentum observers and of the Frenet-Serret parameters of these orbits as a function of their angular velocity is seen on the behavior of parallel transport through its representation as a parameter-dependent Lorentz transformation between these two inner-product preserving transports which is generated by the induced connection. This extends the analysis of parallel transport in the equatorial plane of the Kerr spacetime to the entire spacetime outside the black hole horizon, and helps give an intuitive picture of how competing 'central attraction forces' and centripetal accelerations contribute with gravitomagnetic effects to explain the behavior of the 4-acceleration of circular orbits in that spacetime.
dc.date_txt_mv 2004
dc.format_txt_mv Villanova Faculty Authorship
dc.identifier_txt_mv vudl:177367
dc.source_txt_mv International Journal of Modern Physics D 13, 2004, 1771- 1804.
dc.language_txt_mv en
author Bini, Donato.
Cherubini, Christian.
Cruciani, Gianluca.
Jantzen, Robert.
spellingShingle Bini, Donato.
Cherubini, Christian.
Cruciani, Gianluca.
Jantzen, Robert.
Geometric transport along circular orbits in stationary axisymmetric spacetimes.
author_facet Bini, Donato.
Cherubini, Christian.
Cruciani, Gianluca.
Jantzen, Robert.
dc_source_str_mv International Journal of Modern Physics D 13, 2004, 1771- 1804.
format Villanova Faculty Authorship
author_sort Bini, Donato.
dc_date_str 2004
dc_title_str Geometric transport along circular orbits in stationary axisymmetric spacetimes.
description Parallel transport along circular orbits in orthogonally transitive stationary axisymmetric spacetimes is described explicitly relative to Lie transport in terms of the electric and magnetic parts of the induced connection. The influence of both the gravitoelectromagnetic fields associated with the zero angular momentum observers and of the Frenet-Serret parameters of these orbits as a function of their angular velocity is seen on the behavior of parallel transport through its representation as a parameter-dependent Lorentz transformation between these two inner-product preserving transports which is generated by the induced connection. This extends the analysis of parallel transport in the equatorial plane of the Kerr spacetime to the entire spacetime outside the black hole horizon, and helps give an intuitive picture of how competing 'central attraction forces' and centripetal accelerations contribute with gravitomagnetic effects to explain the behavior of the 4-acceleration of circular orbits in that spacetime.
title Geometric transport along circular orbits in stationary axisymmetric spacetimes.
title_full Geometric transport along circular orbits in stationary axisymmetric spacetimes.
title_fullStr Geometric transport along circular orbits in stationary axisymmetric spacetimes.
title_full_unstemmed Geometric transport along circular orbits in stationary axisymmetric spacetimes.
title_short Geometric transport along circular orbits in stationary axisymmetric spacetimes.
title_sort geometric transport along circular orbits in stationary axisymmetric spacetimes.
publishDate 2004
normalized_sort_date 2004-01-01T00:00:00Z
language English
collection_title_sort_str geometric transport along circular orbits in stationary axisymmetric spacetimes.
relsext.hasModel_txt_mv http://hades.library.villanova.edu:8080/rest/vudl-system:ResourceCollection
http://hades.library.villanova.edu:8080/rest/vudl-system:CollectionModel
http://hades.library.villanova.edu:8080/rest/vudl-system:CoreModel
fgs.createdDate_txt_mv 2013-01-22T06:25:57.539Z
fgs.type_txt_mv http://www.w3.org/ns/ldp#Resource
http://www.w3.org/ns/ldp#RDFSource
http://fedora.info/definitions/v4/repository#Container
http://www.w3.org/ns/ldp#Container
http://fedora.info/definitions/v4/repository#Resource
http://www.w3.org/ns/ldp#BasicContainer
fgs.state_txt_mv Active
relsext.hasLegacyURL_txt_mv http://digital.library.villanova.edu/Villanova%20Digital%20Collection/Faculty%20Fulltext/Jantzen%20Robert/JantzenRobert-3ca1d477-bb5c-4966-afa9-bb16045c996f.xml
fgs.ownerId_txt_mv diglibEditor
relsext.isMemberOf_txt_mv http://hades.library.villanova.edu:8080/rest/vudl:177342
fgs.lastModifiedDate_txt_mv 2021-04-12T19:06:35.704Z
relsext.sequence_txt_mv vudl:177342#9
fgs.createdBy_txt_mv fedoraAdmin
fgs.lastModifiedBy_txt_mv fedoraAdmin
relsext.itemID_txt_mv oai:digital.library.villanova.edu:vudl:177367
fgs.label_txt_mv Geometric transport along circular orbits in stationary axisymmetric spacetimes.
relsext.sortOn_txt_mv title
has_order_str no
agent.name_txt_mv Falvey Memorial Library, Villanova University
klk
license.mdRef_str http://digital.library.villanova.edu/copyright.html
license_str protected
has_thumbnail_str true
THUMBNAIL_contentDigest_digest_str 203c69e18f4f46c81e9892448d2c07cd
first_indexed 2014-01-11T22:28:34Z
last_indexed 2021-04-12T19:26:58Z
_version_ 1755660215824416768
subpages

Similar Items