Photon polarization and geometric phase in general relativity

Details Photon polarization and geometric phase in general relativity Photon polarization and geometric phase in general relativity

2011-08-04

arxiv.org/abs/1108.0973v2

Phys. Rev. D 84, 104043 (2011)

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

17 pages; published version of a companion paper to arXiv:1107.1274

Scientific paper

10.1103/PhysRevD.84.104043

Rotation of polarization in an external gravitational field is one of the effects of general relativity that can serve as a basis for its precision tests. A careful analysis of reference frames is crucial for a proper evaluation of this effect. We introduce an operationally-motivated local reference frame that allows for a particularly simple description. We present a solution of null geodesics in Kerr space-time that is organized around a new expansion parameter, allowing a better control of the series, and use it to calculate the resulting polarization rotation. While this rotation depends on the reference-frame convention, we demonstrate a gauge-independent geometric phase for closed paths in general space-times.

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