Analog of the Fizeau Effect in an Effective Optical Medium

Details Analog of the Fizeau Effect in an Effective Optical Medium Analog of the Fizeau Effect in an Effective Optical Medium

2002-08-13

arxiv.org/abs/gr-qc/0208035v1

Phys.Rev. D67 (2003) 025002

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

19 pages

Scientific paper

10.1103/PhysRevD.67.025002

Using a new approach, we propose an analog of the Fizeau effect for massive and massless particles in an effective optical medium derived from the static, spherically symmetric gravitational field. The medium is naturally perceived as a dispersive medium by matter de Broglie waves. Several Fresnel drag coefficients are worked out, with appropriate interpretations of the wavelengths used. In two cases, it turns out that the coefficients become independent of the wavelength even if the equivalent medium itself is dispersive. A few conceptual issues are also addressed in the process of derivation. It is shown that some of our results complement recent works dealing with real fluid or optical black holes.

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