Holonomy and gravitomagnetism

Details Holonomy and gravitomagnetism Holonomy and gravitomagnetism

2001-04-17

arxiv.org/abs/gr-qc/0104049v2

Class.Quant.Grav. 19 (2002) 195-202

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

6 pages Latex (IOP style); new results covering stationary axisymmetric spacetimes; version accepted for Class. Quant. Grav

Scientific paper

10.1088/0264-9381/19/2/301

We analyze parallel transport of a vector field around an equatorial orbit in Kerr and stationary axisymmetric spacetimes that are reflection symmetric about their equatorial planes. As in Schwarzschild spacetime, there is a band structure of holonomy invariance. The new feature introduced by rotation is a shift in the timelike component of the vector, which is the holonomic manifestation of the gravitomagnetic clock effect.

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