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- W2159481505 abstract "Following Israel's study of singular hypersurfaces and thin shells in general relativity, the complete set of Einstein's field equations in the presence of a bubble boundary SIGMA is reviewed for all spherically symmetric embedding four-geometries ${M}^{ifmmodepmelsetextpmfi{}}$. The mapping that identifies points between the boundaries ${ensuremath{Sigma}}^{+}$ and ${ensuremath{Sigma}}^{mathrm{ensuremath{-}}}$ is obtained explicitly when the regions ${M}^{+}$ and ${M}^{mathrm{ensuremath{-}}}$ are described by a de Sitter and a Minkowski metric, respectively. In addition, the evolution of a bubble with vanishing surface energy density is studied in a spatially flat Robertson-Walker space-time, for region ${M}^{mathrm{ensuremath{-}}}$ radiation dominated with a vanishing cosmological constant, and an energy equation in ${M}^{+}$ determined by the matching. It is found that this type of bubble leads to a ``worm-hole'' matching; that is, an infinite extent exterior of a sphere is joined across the wall to another infinite extent exterior of a sphere. Interior-interior matches are also possible. Under this model, solutions for a bubble following a Hubble law are analyzed. Numerical solutions for bubbles with constant tension are also obtained." @default.
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- W2159481505 date "1986-11-15" @default.
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- W2159481505 title "Inflation and bubbles in general relativity" @default.
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- W2159481505 doi "https://doi.org/10.1103/physrevd.34.2913" @default.
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