Abstract
The origin of the accelerated expansion of the Universe remains an unsolved mystery inCosmology. In this work we consider a spatially flat Friedmann-Robertson-Walker (FRW) Universe withnon-relativistic matter and a single scalar field contributing to the energy density of the Universe.Properties of this scalar field, like potential, kinetic energy, equation of state etc. arereconstructed from Supernovae and BAO data using Gaussian processes. We also reconstruct energy conditions and kinematicvariables of expansion, such as the jerk and the slow roll parameter. We find that the reconstructed scalar field variables and the kinematic quantities are consistent with a flat ΛCDM Universe. Further, we find that the null energy condition is satisfied for the redshift range of the Supernovae data considered in the paper, but the strong energy condition is violated.
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