Some Problems of Topology Change Description in the Theory of Space-Time

Details Some Problems of Topology Change Description in the Theory of Space-Time Some Problems of Topology Change Description in the Theory of Space-Time

1995-08-24

arxiv.org/abs/gr-qc/9508050v2

Int.J.Mod.Phys. D7 (1998) 1-18

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

16 pages, LaTex; some misprints, which prevent generation of PS file, are corrected

Scientific paper

10.1142/S0218271898000024

The problem of topology change description in gravitation theory is analized in detailes. It is pointed out that in standard four-dimensional theories the topology of space may be considered as a particular case of boundary conditions (or constraints). Therefore, the possible changes of space topology in (3+1)-dimensions do not admit dynamical description nor in classical nor in quantum theories and the statements about dynamical supressing of topology change have no sence. In the framework of multidimensional theories the space (and space-time) may be considered as the embedded manifolds. It give the real posibilities for the dynamical description of the topology of space or space-time.

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