Geodesic portrait of de Sitter-Schwarzschild spacetime |
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Authors: | I Dymnikova A Poszwa B So?tysek |
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Affiliation: | (1) Department of Mathematics and Computer Science, University of Warmia and Mazury, Zołnierska 14, 10-561 Olsztyn, Poland;(2) A.F. Ioffe Physico-Technical Institute, Politekhnicheskaya 26, St. Petersburg, 194021, Russia |
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Abstract: | De Sitter-Schwarzschild space-time is a globally regular spherically symmetric spacetime which is asymptotically de Sitter
as r → 0 and asymptotically Schwarzschild as r → ∞. A source term in the Einstein equations smoothly connects de Sitter vacuum at the origin with Minkowski vacuum at infinity
and corresponds to an anisotropic vacuum fluid defined by symmetry of its stress-energy tensor which is invariant under radial
boosts. In the range of the mass parameter M ≥ M
crit, de Sitter-Schwarzschild spacetime represents a vacuum nonsingular black hole, while M < M
crit corresponds to a compact gravitationally bound vacuum object without horizons, called a G-lump. Masses of objects are related
to both de Sitter vacuum trapped inside and to smooth breaking of the spacetime symmetry from the de Sitter group at the origin
to the Poincaré group at infinity. We here present a geodesic survey of de Sitter-Schwarzschild spacetime. |
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