Tolman wormholes violate the strong energy condition
- Laboratorio de Astrofisica Espacial y Fisica Fundamental, Apartado 50727, 28080 Madrid (Spain)
- Theoretical Division, Los Alamos National Laboratory, Los Alamos, New Mexico 87545 (United States)
- Physics Department, Washington University, Saint Louis, Missouri 63130-4899 (United States)
For an arbitrary Tolman wormhole, unconstrained by symmetry, we shall define the bounce in terms of a 3-dimensional edgeless achronal spacelike hypersurface of minimal volume (zero trace for the extrinsic curvature plus a {open_quotes}flare-out{close_quotes} condition). This enables us to severely constrain the geometry of spacetime at and near the bounce and to derive general theorems regarding violations of the energy conditions{emdash}theorems that do not involve geodesic averaging but nevertheless apply to situations much more general than the highly symmetric FRW-based subclass of Tolman wormholes. [For example, even under the mildest of hypotheses, the strong energy condition (SEC) must be violated.] Alternatively, one can dispense with the minimal volume condition and define a generic bounce entirely in terms of the motion of test particles (future-pointing timelike geodesics), by looking at the expansion of their timelike geodesic congruences. One re-confirms that the SEC must be violated at or near the bounce. In contrast, it is easy to arrange for {ital all} the other standard energy conditions to be satisfied. {copyright} {ital 1999} {ital The American Physical Society}
- OSTI ID:
- 304296
- Journal Information:
- Physical Review, D, Vol. 59, Issue 4; Other Information: PBD: Feb 1999
- Country of Publication:
- United States
- Language:
- English
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