Photon propagation in Einstein and Higher Derivative Gravity

Details Photon propagation in Einstein and Higher Derivative Gravity Photon propagation in Einstein and Higher Derivative Gravity

1998-04-06

arxiv.org/abs/gr-qc/9804017v1

Nucl.Phys. B526 (1998) 501-508

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

12 page Latex. To appear in Nuclear Physics B

Scientific paper

10.1016/S0550-3213(98)00275-2

In the wave equation obeyed by electromagnetic fields in curved spacetime there are Riemann and Ricci curvature coupling terms to the photon polarisation, which result in a polarisation dependent deviation of the photon trajectories from null geodesics. Photons are found to have an effective mass in an external gravitational field and their velocity in an inertial frame is in general less than $c$. A consequence of this is that the curvature corrections to the propagation of electromagnetic radiation keep the velocities subluminal provided the strong energy condition is satisfied. We further show that the claims of superluminal velocities in higher derivative gravity theories are erroneous and arise due to the neglect of Riemann and Ricci coupling terms in the wave equation, which exists in Einstein's gravity itself.

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