Investigation of anisotropic metric in multidimensional space-time and generation of additional dimensions by scalar field

Were investigated anisotropic metric of higher dimensional space-time with only cosmological term and scalar field. Showed, that presence of scalar field is equivalent to anisotropic metric in the multy dimensional space-time and proposed idea of dimensions generation by scalar field. Were solved Ei...

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Veröffentlicht in:arXiv.org 2011-12
1. Verfasser: Yakovlev, Sergey V
Format: Artikel
Sprache:eng
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Zusammenfassung:Were investigated anisotropic metric of higher dimensional space-time with only cosmological term and scalar field. Showed, that presence of scalar field is equivalent to anisotropic metric in the multy dimensional space-time and proposed idea of dimensions generation by scalar field. Were solved Einstein's equations for higher dimensional space-time of Kazner's type and derived expressions for density of energy for scalar field, which generate additional dimensions, and proposed the procedure of renormalization of the metric.
ISSN:2331-8422
DOI:10.48550/arxiv.1109.3769