Ts. Kolatt et M. Bartelmann, GRAVITATIONAL LENSING OF TYPE IA SUPERNOVAE BY GALAXY CLUSTERS, Monthly Notices of the Royal Astronomical Society, 296(3), 1998, pp. 763-772
We propose a method to remove the mass-sheet degeneracy that arises wh
en the mass of galaxy clusters is inferred from gravitational shear. T
he method utilizes high-redshift standard candles that undergo weak le
nsing. Natural candidates for such standard candles are type Ia supern
ovae (SNe Ia). When corrected with the light-curve shape (LCS), the pe
ak magnitude of SNe Ia provides a standard candle with an uncertainty
in apparent magnitude of Delta m similar or equal to 0.1-0.2, Gravitat
ional magnification of a background SN Ia by an intervening cluster wo
uld cause a mismatch between the observed SN Ia peak magnitude compare
d with that expected from its LCS and redshift. The average detection
rate for SNe Ia with a significant mismatch of greater than or equal t
o 2 Delta m behind a cluster at z similar or equal to 0.05-0.15 is abo
ut 1-2 supernovae per cluster per year at J, I, R less than or similar
to 25-26. Since SNe are point-like sources for a limited period, they
can experience significant microlensing by massive compact halo objec
ts (MACHOs) in the intracluster medium. Microlensing events caused by
MACHOs of similar to 10(-4) M-. are expected to have time-scales simil
ar to that of the SN light curve. Both the magnification curve by a MA
CHO and the light curve of a SN Ia have characteristic shapes that all
ow us to separate them. Microlensing events caused by MACHOs of smalle
r mass can unambiguously be identified in the SN light curve if the la
tter is continuously monitored. The average number of identifiable mic
rolensing events per nearby cluster (z less than or similar to 0.05) p
er year is similar to 0.02 (f/0.01), where f is the fraction of the cl
uster mass in MACHOs of masses 10(-7) < M-macho/M-. < 10(-4).