Light Propagation on Quantum Curved Spacetime and Back reaction effects

Details Light Propagation on Quantum Curved Spacetime and Back reaction effects Light Propagation on Quantum Curved Spacetime and Back reaction effects

2007-04-25

arxiv.org/abs/0704.3429v1

Class.Quant.Grav.24:4475-4490,2007

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Scientific paper

10.1088/0264-9381/24/17/013

We study the electromagnetic field equations on an arbitrary quantum curved background in the semiclassical approximation of Loop Quantum Gravity. The effective interaction hamiltonian for the Maxwell and gravitational fields is obtained and the corresponding field equations, which can be expressed as a modified wave equation for the Maxwell potential, are derived. We use these results to analyze electromagnetic wave propagation on a quantum Robertson-Walker space time and show that Lorentz Invariance is not preserved. The formalism developed can be applied to the case where back reaction effects on the metric due to the electromagnetic field are taken into account, leading to non covariant field equations.

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