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The algebraic structure of a cosmological term in spherically symmetric solutions. (English) Zbl 0974.83010

Summary: We propose to describe the dynamics of a cosmological term in the spherically symmetric case by an \(r\)-dependent second rank symmetric tensor \(\Lambda_{\mu r}\) 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 \(p=-\rho\) is satisfied by the radial pressure, \(p_r^\Lambda=-\rho^\Lambda\). The tangential pressure \(p_-^\Lambda\) is calculated from the conservation equation \(\Lambda_{\nu:\mu}^\mu=0\).

MSC:

83C15 Exact solutions to problems in general relativity and gravitational theory
83F05 Relativistic cosmology
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