Lagrangian Formulation of a Solution to the Cosmological Constant Problem

Details Lagrangian Formulation of a Solution to the Cosmological Constant Problem Lagrangian Formulation of a Solution to the Cosmological Constant Problem

1996-08-29

arxiv.org/abs/astro-ph/9608202v1

Astronomy and Astrophysics

Astrophysics

Typeset using Revtex. 7 pages. No figures

Scientific paper

A covariant Lagrangian formulation of a solution to the cosmological constant problem, based on vizualising the fluctuations of the vacuum energy as a non-equilibrium process with stochastic behaviour, is presented. The variational principle yields equations of motion for the cosmological ``constant" $\Lambda$, treated as a dynamical field, together with an equation for a Lagrange multiplier field $\phi$, and the standard Einstein field equations with a variable cosmological constant term. A stochastic model of $\Lambda$ yields a natural explanation for the smallness or zero value of the constant in the present epoch and its large value in an era of inflation in the early universe.

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