Lagrangian Formulation of a Solution to the Cosmological Constant Problem
Abstract
A covariant Lagrangian formulation of a solution to the cosmological constant problem, based on vizualising the fluctuations of the vacuum energy as a nonequilibrium 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.
 Publication:

arXiv eprints
 Pub Date:
 August 1996
 arXiv:
 arXiv:astroph/9608202
 Bibcode:
 1996astro.ph..8202M
 Keywords:

 Astrophysics;
 General Relativity and Quantum Cosmology;
 High Energy Physics  Phenomenology
 EPrint:
 Typeset using Revtex. 7 pages. No figures