Abstract :
We propose to describe the dynamics of a cosmological term in the spherically symmetric case by an r-dependent second rank symmetric tensor Λμν 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=−ρ is satisfied by the radial pressure, prΛ=−ρΛ. The tangential pressure p⊥Λ is calculated from the conservation equation Λμν;μ=0.
