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How to determine an effective potential for a variable cosmological term

A. A. Starobinsky
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Abstract

It is shown that if a variable cosmological term in the present Universe is described by a scalar field with minimal coupling to gravity and with some phenomenological self-interaction potential $V(φ)$, then this potential can be unambiguously determined from the following observational data: either from the behaviour of density perturbations in dustlike matter component as a function of redshift (given the Hubble constant additionally), or from the luminosity distance as a function of redshift (given the present density of dustlike matter in terms of the critical one).

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A. A. Starobinsky. 1998-10-27. How to determine an effective potential for a variable cosmological term. https://doi.org/10.1134/1.567941

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