Szekeres Models and Their Wormholes

Details Szekeres Models and Their Wormholes Szekeres Models and Their Wormholes

Feb 2005

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2005tmgm.meet...29h&link_type=abstract

The Tenth Marcel Grossmann Meeting. Proceedings of the MG10 Meeting held at Brazilian Center for Research in Physics (CBPF), Rio

Physics

Scientific paper

We investigate quasi-spherical Szekeres models, including the anisotropic generalisation of the Lemaitre-Tolman wormhole topology. We: (a) derive the conditions for physically reasonable models, including a regular origin, maxima and minima, and the absence of shell-crossings; (b) obtain the relations between the local mass dipole, apparent horizon, light propagation rate, and shell crossings; (c) show non-zero dipole requires non-zero density, and cannot compensate for the effects of non-vacuum in any direction, so communication through the neck is still worse than the vacuum case; (d) show that a handle topology cannot be created by identifying hypersurfaces on either side of a wormhole, unless a surface layer is allowed. This impossibility includes the vacuum (Schwarzschild-Kruskal-Szekeres) case.

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