Impact of the 3D source geometry on time-delay measurements of lensed type-Ia supernovae

It has been recently proposed that gravitationally lensed type-Ia supernovae can provide microlensing-free time-delay measurements provided that 1- the measurement is done during the achromatic expansion phase of the explosion and 2- color light curves are used rather than single-band light curves. If verified, this would provide both precise and accurate time-delay measurements, making lensed type-Ia supernovae a new golden standard for time-delay cosmography. However, the 3D geometry of the expanding shell can introduce an additional bias that has not been fully explored so far. In this work, we present and discuss the impact of this effect on time-delay cosmography with lensed supernovae and find that, on average, it leads to an (absolute) bias of a few tenths of days. This is negligible in front of the cosmological time delays predicted for typical lensed type-Ia supernovae but not for the specific case of the recently discovered type-Ia supernova iPTF16geu, which has expected time delays smaller than a day.