The algebraic structure of a cosmological term in spherically symmetric solutions

Abstract

We propose to describe the dynamics of a cosmological term in the spherically symmetric case by an r-dependent second rank symmetric tensor invariant under boosts in the radial direction. This proposal is based on the Petrov classification scheme and Einstein field equations in the spherically symmetric case. The inflationary equation of state p=-ρis satisfied by the radial pressure. The tangential pressure is calculated from the conservation equation (the contracted Bianchi identity).