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- W2012152989 abstract "General hypersurface layers are considered in order to describe braneworlds and shell cosmologies. No restriction is placed on the causal character of the hypersurface which may thus have internal changes of signature. Strengthening the results in our previous paper [M. Mars, J. M. M. Senovilla, and R. Vera, Phys. Rev. Lett. 86, 4219 (2001).], we confirm that a good, regular, and consistent description of signature change is achieved in these brane/shells scenarios, while keeping the hypersurface and the bulk completely regular. Our formalism allows for a unified description of the traditional timelike branes/shells together with the signature changing, or pure null, ones. This allows for a detailed comparison of the results in both situations. An application to the case of hypersurface layers in static bulks is presented, leading to the general Robertson-Walker geometry on the layer---with a possible signature change. Explicit examples on anti-de Sitter bulks are then studied. The permitted behaviors in different settings (${Z}_{2}$-mirror branes, asymmetric shells, signature changing branes) are analyzed in detail. We show, in particular, that (i) in asymmetric shells there is an upper bound for the energy density, and (ii) that the energy density within the brane vanishes when approaching a change of signature. The description of a signature change as a ``singularity'' seen from within the brane is considered. We also find new relations between the fundamental constants in the brane/shell, its tension, and the cosmological and gravitational constants of the bulk, independently of the existence or not of a change of signature." @default.
- W2012152989 created "2016-06-24" @default.
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- W2012152989 date "2007-08-31" @default.
- W2012152989 modified "2023-10-18" @default.
- W2012152989 title "Lorentzian and signature changing branes" @default.
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- W2012152989 doi "https://doi.org/10.1103/physrevd.76.044029" @default.
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