Abstract
We consider the hypothesis of a limiting minimal curvature in gravity as a way to constructa class of theories exhibiting late-time cosmic acceleration. Guided by the minimalcurvature conjecture we are naturally led to a set of scalar–tensor theories in which thescalar is non-minimally coupled both to gravity and to the matter Lagrangian. The modelis compared to the Lambda cold dark matter concordance model and to observational datausing the ‘gold’ SNeIa sample of Riess et al ((Supernova Search Team Collaboration),2004 Astrophys. J. 607 665 [astro-ph/0402512]). An excellent fit to the data isachieved. We present a toy model designed to demonstrate that such a new, possiblyfundamental, principle may be responsible for the recent period of cosmologicalacceleration. Observational constraints remain to be imposed on these models.
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