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##z = f(d_l) ##

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- Thread starter redtree
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In summary, the conversation is about finding papers that directly curve-fit redshift as a function of luminosity distance without assuming a particular physical model. The function in question is denoted by ##z = f(d_l)## and the goal is to see what this function might look like. However, it is noted that using linear, exponential, or trigonometric functions do not provide a good fit. The conversation also mentions an online repository of data for analysis, with the suggestion of using supernova data from the Supernova Cosmology Project. This data goes out to a redshift of approximately 1.4.

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##z = f(d_l) ##

- #2

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- #3

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Has anyone published the "best fit" function for ##z## as a function of ##d_l## WITHOUT first assuming a particular physical model?

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Is there an online repository of the data out to high ##z## that is downloadable for analysis?

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Depends upon what you mean by high-z. Easiest to work with is probably supernova data. One relatively recent compilation is here, at the Supernova Cosmology Project:redtree said:Is there an online repository of the data out to high ##z## that is downloadable for analysis?

http://supernova.lbl.gov/union/

They have published a summary table of the per-supernova distance/redshift relation:

http://supernova.lbl.gov/union/figures/SCPUnion2.1_mu_vs_z.txt

You'd have to read their papers to understand what the various columns of that table are, to apply them to your own fit. Looks like they go out to a redshift of about 1.4 or so.

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