Staff View: Geometric transport along circular orbits in stationary axisymmetric spacetimes.

Geometric transport along circular orbits in stationary axisymmetric spacetimes.

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

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

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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
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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.
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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.
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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.
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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.

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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.

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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

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Cherubini, Christian.
Cruciani, Gianluca.
Jantzen, Robert.

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Geometric transport along circular orbits in stationary axisymmetric spacetimes.

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Geometric transport along circular orbits in stationary axisymmetric spacetimes.

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Geometric transport along circular orbits in stationary axisymmetric spacetimes.

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geometric transport along circular orbits in stationary axisymmetric spacetimes.

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Geometric transport along circular orbits in stationary axisymmetric spacetimes.

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