From: Greg Aldering (aldering@panisse.lbl.gov)
Date: Thu May 15 2003 - 13:35:31 PDT
Hi Rob,
Eric Linder and I have figured out how to correct the Hawkins et al
2dFGRS results for w, in addition to the w-dependence in converting
from OM the redshift of the survey to redshift 0. There is an
additional correction because equation 22 of Hawkins doesn't account
for w. So, instead of using equation 22, we have figured out the values
of f(OM,OL,w) to use directly in their equation 21. This calcuation
comes from solving the non-linear differential equation given by
equation B9 of Wang and Steinhardt, ApJ, 508, 483 , and applies for a
flat universe.
Pick up the file /home/astro34/aldering/papers/rknop_hst/fomw.out. It
contains values of f(OM,OL,w) for a flat universe, needed to constrain
OM,w using the relation Beta = f(OM,OL,w)/b. Hawkins et al have Beta =
0.49+/-0.09 and b = 1.04+/-0.11. This gives f = 0.433+/-0.108. Thus,
when you have a test value of OM(z=0), you first adjust to OM(z=0.15),
then you look up the value of f(OM,OL,w) and compare to the Hawkins et
al value of f.
I'll send some appropriate TeX later today.
- Greg
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