Russian Gravitational Society Institute of Metrological Service Center of Gravitation and Fundamental Metrology
نویسنده
چکیده
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.
منابع مشابه
RUSSIAN GRAVITATIONAL SOCIETY INSTITUTE OF METROLOGICAL SERVICE CENTER OF GRAVITATION AND FUNDAMENTAL METROLOGY RGS-VNIIMS-010/97 gr-qc/9710120 CAUSALITY IN TOPOLOGICALLY NONTRIVIAL SPACE-TIMES
The problems causality and causality violation in topologically nontrivial spacetime models are considered. To this end the mixed boundary problem for traversable wormhole models is formulated and the influence of the boundary conditions on the causal properties of space-time is analyzed
متن کاملRussian Gravitational Society Institute of Metrological Service Center of Gravitation and Fundamental Metrology
The so called ”Principle of the self-consistency” for space-time models with causality violation, which was firstly formulated by I.D.Novikov, is discussed for the test particle motion and for test scalar field. It is shown that the constraints, which provide the self-concistensy of test particle motion have pure geometrical (topological) nature. So, the recent statement that ”The Principle of ...
متن کاملRussian Gravitational Society Institute of Metrological Service Center of Gravitation and Fundamental Metrology
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 theorie...
متن کاملRussian Gravitational Society Institute of Metrological Service Center of Gravitation and Fundamental Metrology
We obtain and study static, spherically symmetric solutions for the Einstein — generalized Maxwell field system in 2n dimensions, with possible inclusion of a massless scalar field. The generalization preserves the conformal invariance of the Maxwell field in higher dimensions. Almost all solutions exhibit naked singularities, but there are some classes of black hole solutions. For these cases ...
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