Timescale Stretch Parameterization of Type Ia Supernova B-Band Light Curves

Abstract

R-band intensity measurements along the light curve of Type Ia supernovae (SNe Ia) discovered by the Supernova Cosmology Project (SCP) are fitted in brightness to templates allowing a free parameter the time-axis width factor w≡s(1+z). The data points are then individually aligned in the time axis, normalized, and K-corrected back to the rest frame, after which the nearly 1300 normalized intensity measurements are found to lie on a well-determined common rest-frame B-band curve, which we call the ``composite curve.'' The same procedure is applied to 18 low-redshift Calán/Tololo SNe with z2/dof~1-thus, as well as any parameterization can, given the current data sets. The measurement of the date of explosion, however, is model dependent and not tightly constrained by the current data. We also demonstrate the 1+z light-curve time-axis broadening expected from cosmological expansion. This argues strongly against alternative explanations, such as tired light, for the redshift of distant objects. Show more