Observational constraints on the inflaton potential combined with flow-equations in inflaton space

Preprint

28 June 2002

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.hep-ph/0109252

Abstract

Direct observations provide constraints on the first two derivatives of the inflaton potential in slow roll models. We discuss how present day observations, combined with the flow equations in slow roll parameter space, provide a non-trivial constraint on the third derivative of the inflaton potential. We find a lower bound on the third derivative of the inflaton potential V'''/V > -0.2. We also show that unless the third derivative of the inflaton potential is unreasonably large, then one predicts the tensor to scalar ratio, r, to be bounded from below r > 3 * 10^{-6}.

Keywords

OBSERVATIONAL CONSTRAINTS
PROVIDE CONSTRAINTS
COMBINED WITH FLOW
POTENTIAL COMBINED
INFLATON POTENTIAL
FLOW EQUATIONS
INFLATON SPACE
SPACE DIRECT
SLOW ROLL

All Related Versions

Version 1, 2001-09-26, ArXiv
Version 2, 2002-06-28, ArXiv
Published version: Monthly Notices of the Royal Astronomical Society, 336 (3), 1007.

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