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American Physical Society, Physical Review D, 10(79), 2009

DOI: 10.1103/physrevd.79.104007

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Including Absorption in Gordon's Optical Metric

Journal article published in 2009 by B. Chen ORCID, R. Kantowski
This paper is available in a repository.
This paper is available in a repository.

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Abstract

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. ; Comment: 11 pages, 2 figure