Including Absorption in Gordon's Optical Metric

Details Including Absorption in Gordon's Optical Metric Including Absorption in Gordon's Optical Metric

2009-03-10

arxiv.org/abs/0903.1677v2

Phys.Rev.D79:104007,2009

Astronomy and Astrophysics

Astrophysics

Cosmology and Extragalactic Astrophysics

11 pages, 2 figure

Scientific paper

10.1103/PhysRevD.79.104007

We show that Gordon's optical metric on a curved spacetime can be generalized to include absorption by allowing the metric to become complex. We demonstrate its use in the realm of geometrical optics by giving three simple examples. We use one of these examples to compute corrected distance-redshift relations for Friedman-Lema\^itre-Robertson-Walker models in which the cosmic fluid has an associated complex index of refraction that represents grey extinction. We then fit this corrected Hubble curve to the type Ia supernovae data and provide a possible explanation (other than dark energy) of the deviation of these observations from dark matter predictions.

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