Geometric optics for a coupling model of the electromagnetic and gravitational fields
arXiv:1510.03316 · doi:10.1016/j.aop.2016.01.015
Abstract
The coupling between the electromagnetic and gravitational fields results in "faster than light" photons and invalids the Lorentz invariance and some laws of physics. A typical example is that the first and third laws of geometric optics are invalid in the usual spacetime. By introducing an effective spacetime, we find that the wave vector can be casted into null and then it obeys the geodesic equation, the polarization vector is perpendicular to the rays, and the number of photons is conserved. That is to say, the laws of geometric optics are still valid for the modified theory in the effective spacetime. We also show that the focusing theorem of light rays for the modified theory in the effective spacetime takes the same form as usual.
11 pages
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Cited by in corpus (4)
- Gravitational Lensing Under the Effect of Weyl and Bumblebee Gravities: Applications of Gauss-Bonnet Theorem
- Strong gravitational field time delay for photons coupled to Weyl tensor in a Schwarzschild black hole
- Superluminality, Black Holes and Effective Field Theory
- Vacuum polarization effects in the background of a deformed compact object and implications for photon velocity