On a Time Dependent Cosmological Constant

Abstract

We conjecture a time dependent Lambda(t), in terms of the Gaussian curvature of the causal horizon, which is nonvanishing even in Minkowski space due to the lack of informations beyond the light cone. Using the Heisenberg Principle, the corresponding energy of the quantum fluctuations, localized on the past or future null horizon, is proportional to sqrt(Lambda(t)). We compute Lambda(t) for the (conformally flat) Lorentzian Hawking wormhole geometry, written in static spherical Rindler coordinates.