Fermat's principle in quantum gravitational optics

Details Fermat's principle in quantum gravitational optics Fermat's principle in quantum gravitational optics

2006-12-29

arxiv.org/abs/gr-qc/0612192v4

JCAP0805:015,2008

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

13 Pages, REVTex format, section on gravitomagnetic monopoles is removed along with its references, new references added

Scientific paper

10.1088/1475-7516/2008/05/015

Interactions incorporating the vacuum polarization effects in curved backgrounds modify the null cone structure in such a way that the photon trajectories would not be the space-time geodesics anymore. The gravitational birefringence introduced as a direct consequence of these effects, will allow shifts in the photon velocities leading to polarization dependent superluminal propagation. Taking these effects into account we study Fermat's principle in the context of the 1+3 (threading) formulation of the space-time decomposition. We find an expression for the modified spacetime refractive index and show it is proportional to the light cone correction to the first order. Consequences of this modification on polarization sum rules and spatial light paths are considered.

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