Fluctuations of the luminosity distance

Details Fluctuations of the luminosity distance Fluctuations of the luminosity distance

2005-11-07

arxiv.org/abs/astro-ph/0511183v5

Phys.Rev.D73:023523,2006

Astronomy and Astrophysics

Astrophysics

23 pages, 15 figures, errors in published version corrected (eqs. (53), (55), (58) and (59))

Scientific paper

10.1103/PhysRevD.73.023523

We derive an expression for the luminosity distance in a perturbed Friedmann universe. We define the correlation function and the power spectrum of the luminosity distance fluctuations and express them in terms of the initial spectrum of the Bardeen potential. We present semi-analytical results for the case of a pure CDM universe. We argue that the luminosity distance power spectrum represents a new observational tool which can be used to determine cosmological parameters. In addition, our results shed some light into the debate whether second order small scale fluctuations can mimic an accelerating universe.

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