Constraining Temporal Oscillations of Cosmological Parameters Using Type Ia Supernovae

Understand

The existing set of type Ia supernovae (SNe Ia) is now sufficient to detect oscillatory deviations from the canonical $\Lambda$CDM cosmology.

• We determine that the Fourier spectrum of the Pantheon data set of spectroscopically well-observed SNe Ia is consistent with the predictions of $\Lambda$CDM.
• We also develop and describe two complementary techniques for using SNe Ia to constrain those alternate cosmological models that predict deviations from $\Lambda$CDM that are oscillatory in conformal time.
• The first technique uses the reduced $\chi^2$ statistic to determine the likelihood that the observed data would result from a given model.