The Rising Light Curves of Type Ia Supernovae

TL;DR

This study analyzes early light curves of 18 Type Ia supernovae, revealing diversity in rise times and power-law exponents, which impacts understanding of nickel distribution and cosmological standardization.

Contribution

It provides the first detailed analysis of early rise behavior in multiple SNe Ia, challenging the standard fireball model and highlighting diversity in nickel mixing.

Findings

Mean rise time of 18.98 days with variation from 15.98 to 24.7 days

Power-law exponent n averages 2.44, deviating from the standard n=2

Early light curve duration does not correlate with light curve stretch

Abstract

We present an analysis of the early, rising light curves of 18 Type Ia supernovae (SNe Ia) discovered by the Palomar Transient Factory (PTF) and the La Silla-QUEST variability survey (LSQ). We fit these early data flux using a simple power-law $(f(t) = {\alpha\times t^n})$ to determine the time of first light $({t_0})$, and hence the rise-time $({t_{rise}})$ from first light to peak luminosity, and the exponent of the power-law rise ($n$). We find a mean uncorrected rise time of $18.98 {\pm} 0.54$ days, with individual SN rise-times ranging from $15.98$ to $24.7$ days. The exponent n shows significant departures from the simple 'fireball model' of $n = 2$ (or ${f(t) \propto t^2}$) usually assumed in the literature. With a mean value of $n = 2.44 {\pm} 0.13$, our data also show significant diversity from event to event. This deviation has implications for the distribution of 56Ni throughout the SN ejecta, with a higher index suggesting a lesser degree of 56Ni mixing. The range of n found also confirms that the 56Ni distribution is not standard throughout the population of SNe Ia, in agreement with earlier work measuring such abundances through spectral modelling. We also show that the duration of the very early light curve, before the luminosity has reached half of its maximal value, does not correlate with the light curve shape or stretch used to standardise SNe Ia in cosmological applications. This has implications for the cosmological fitting of SN Ia light curves.