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26 April 2024
 
  » arxiv » gr-qc/9802040

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Causality properties of topologically nontrivial space-time models
M. Yu. Konstantinov ;
Date 17 Feb 1998
Journal Grav.Cosmol. 3 (1997) 299-304
Subject gr-qc
AbstractSome problems of the space-time causal structure are discussed using models with traversable wormholes. For this purpose the conditions of traversable wormhole matching with the exterior space-time are considered in detail and a mixed boundary problem for the Einstein equations is formulated and analyzed. The influence of these matching conditions on the space-time properties and causal structure is analyzed. These conditions have a non-dynamical nature and cannot be determined by any physical process. So, the causality violation cannot be a result of dynamical evolution of some initial hypersurface. It is also shown that the same conditions which determine the wormhole joining with the outer space provide the self-consistency of solutions and the absence of paradoxes in the case of causality violation.
Source arXiv, gr-qc/9802040
Other source [GID 260915] gr-qc/9406004
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