Mathematics – Logic
Scientific paper
Dec 1998
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1998gregr..30.1775d&link_type=ejournal
General Relativity and Gravitation, Volume 30, Issue 12, pp.1775-1793
Mathematics
Logic
18
Black Hole, Cosmological Constant
Scientific paper
We present the analytic spherically symmetric solution of the Einstein equations, which has de Sitter asymptotics for both r → ∞ and r → 0. This two-lambda spherically symmetric solution is globally regular. At the range of mass parameter Mcr1 < M < Mcr2 it has three horizons and describes a neutral black hole whose singularity is replaced by a cosmological constant Λ of Planck or GUT scale, at the background of small λ. Global structure of space-time contains an infinite sequence of black and white holes, de Sitter-like past and future regular cores (with Λ + λ at r → 0) replacing singularities, asymptotically de Sitter external universes (with λ for r → ∞), and spacelike infinities. In the range of mass parameter M < Mcr1 we have a one-horizon solution describing recovered selfgravitating particle-like structure at the background of small λ, and for M > Mcr2 another one-horizon configuration which can be called "de Sitter bag". The solutions with M = Mcr1 and M = Mcr2 represent two extreme states of a neutral nonsingular cosmological black hole.
Dymnikova Irina
Soltysek Bozena
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