Quantum gravitational optics: Effective Raychaudhuri equation
arXiv:gr-qc/0605009 · doi:10.1103/PhysRevD.74.044034
Abstract
Vacuum polarization in QED in a background gravitational field induces interactions which {\it effectively} modify the classical picture of light rays, as the null geodesics of spacetime. These interactions violate the strong equivalence principle and affect the propagation of light leading to superluminal photon velocities. Taking into account the QED vacuum polarization, we study the propagation of a bundle of rays in a background gravitational field. To do so we consider the perturbative deformation of Raychaudhuri equation through the influence of vacuum polarization on photon propagation. We analyze the contribution of the above interactions to the optical scalars namely, shear, vorticity and expansion using the Newman-Penrose formalism.
17 pages, 1 figure, RevTex format, Replaced with the published version
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- Quantum gravitational optics: the induced phase
- Quantum Gravity Fluctuations in the Timelike Raychaudhuri Equation
- Fermat's principle in quantum gravitational optics
- Quantum-Gravitational Null Raychaudhuri Equation
- Vacuum Fluctuation (1): the Same Basis of the Relativity and the Quantum Mechanics
- Quantum gravitational optics in the field of a gravitomagnetic monopole