http://arxiv.org/abs/2305.04946
The potential energy from a time-dependent scalar field provides a possible explanation for the observed cosmic acceleration. In this paper, we investigate how the redshift vs brightness data from the recent Pantheon+ survey of type Ia supernovae constrain the possible evolution of a single scalar field for the period of time (roughly half the age of the universe) over which supernova data are available. Taking a linear approximation to the potential, we find that models providing a good fit to the data typically have a decreasing potential energy at present (accounting for over 99% of the allowed parameter space) with a significant variation in scalar potential ($\langle {\rm Range}(V)/V_0 \rangle \approx 0.97$) over the period of time corresponding to the available data ($z < 2.3$). Including quadratic terms in the potential, the data can be fit well for a wide range of possible potentials including those with positive or negative $V_2$ of large magnitude, and models where the universe has already stopped accelerating. We describe a few degeneracies and approximate degeneracies in the model that help explain the somewhat surprising range of allowed potentials.
M. Raamsdonk and C. Waddell
Wed, 10 May 23
18/65
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