Staff View: Circular holonomy and clock effects in stationary axisymmetric spacetimes.

Circular holonomy and clock effects in stationary axisymmetric spacetimes.

Bibliographic Details
Main Authors:	Bini, Donato., Jantzen, Robert., Mashhoon, Bahram.
Format:	Villanova Faculty Authorship
Language:	English
Published:	2001
Online Access:	http://ezproxy.villanova.edu/login?url=https://digital.library.villanova.edu/Item/vudl:177343

Main Authors:

Bini, Donato., Jantzen, Robert., Mashhoon, Bahram.

Format:

Villanova Faculty Authorship

Language:

English

Published:

2001

Online Access:

http://ezproxy.villanova.edu/login?url=https://digital.library.villanova.edu/Item/vudl:177343

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spelling	Circular holonomy and clock effects in stationary axisymmetric spacetimes. Bini, Donato. Jantzen, Robert. Mashhoon, Bahram. Stationary axisymmetric spacetimes containing a pair of oppositelyrotating periodically-intersecting circular geodesics allow the study of various socalled 'clock effects' by comparing either observer or geodesic proper time periods of orbital circuits defined by the observer or the geodesic crossing points. This can be extended from a comparison of clocks to a comparison of parallel transported vectors, leading to the study of special elements of the spacetime holonomy group. The band of holonomy invariance found for a dense subset of special geodesic orbits outside a certain radius in the static case does not exist in the nonstatic case. In the Kerr spacetime the dimensionless frequencies associated with parallel transport rotations can be expressed as ratios of the proper and average coordinate periods of the circular geodesics. 2001 Villanova Faculty Authorship vudl:177343 Classical and Quantum Gravity 19(1), 2002. en
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dc.description_txt_mv	Stationary axisymmetric spacetimes containing a pair of oppositelyrotating periodically-intersecting circular geodesics allow the study of various socalled 'clock effects' by comparing either observer or geodesic proper time periods of orbital circuits defined by the observer or the geodesic crossing points. This can be extended from a comparison of clocks to a comparison of parallel transported vectors, leading to the study of special elements of the spacetime holonomy group. The band of holonomy invariance found for a dense subset of special geodesic orbits outside a certain radius in the static case does not exist in the nonstatic case. In the Kerr spacetime the dimensionless frequencies associated with parallel transport rotations can be expressed as ratios of the proper and average coordinate periods of the circular geodesics.
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author	Bini, Donato. Jantzen, Robert. Mashhoon, Bahram.
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title	Circular holonomy and clock effects in stationary axisymmetric spacetimes.
title_full	Circular holonomy and clock effects in stationary axisymmetric spacetimes.
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title_short	Circular holonomy and clock effects in stationary axisymmetric spacetimes.
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Circular holonomy and clock effects in stationary axisymmetric spacetimes.
Bini, Donato.
Jantzen, Robert.
Mashhoon, Bahram.
Stationary axisymmetric spacetimes containing a pair of oppositelyrotating periodically-intersecting circular geodesics allow the study of various socalled 'clock effects' by comparing either observer or geodesic proper time periods of orbital circuits defined by the observer or the geodesic crossing points. This can be extended from a comparison of clocks to a comparison of parallel transported vectors, leading to the study of special elements of the spacetime holonomy group. The band of holonomy invariance found for a dense subset of special geodesic orbits outside a certain radius in the static case does not exist in the nonstatic case. In the Kerr spacetime the dimensionless frequencies associated with parallel transport rotations can be expressed as ratios of the proper and average coordinate periods of the circular geodesics.
2001
Villanova Faculty Authorship
vudl:177343
Classical and Quantum Gravity 19(1), 2002.
en

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Circular holonomy and clock effects in stationary axisymmetric spacetimes.

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Bini, Donato.
Jantzen, Robert.
Mashhoon, Bahram.

dc.description_txt_mv

Stationary axisymmetric spacetimes containing a pair of oppositelyrotating periodically-intersecting circular geodesics allow the study of various socalled 'clock effects' by comparing either observer or geodesic proper time periods of orbital circuits defined by the observer or the geodesic crossing points. This can be extended from a comparison of clocks to a comparison of parallel transported vectors, leading to the study of special elements of the spacetime holonomy group. The band of holonomy invariance found for a dense subset of special geodesic orbits outside a certain radius in the static case does not exist in the nonstatic case. In the Kerr spacetime the dimensionless frequencies associated with parallel transport rotations can be expressed as ratios of the proper and average coordinate periods of the circular geodesics.

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Jantzen, Robert.
Mashhoon, Bahram.

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Jantzen, Robert.
Mashhoon, Bahram.
Circular holonomy and clock effects in stationary axisymmetric spacetimes.

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Mashhoon, Bahram.

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Circular holonomy and clock effects in stationary axisymmetric spacetimes.

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Circular holonomy and clock effects in stationary axisymmetric spacetimes.

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Circular holonomy and clock effects in stationary axisymmetric spacetimes.

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