English

Multidimensional Quantum Cosmology: Quantum Wormholes, Third Quantization, Inflation from "Nothing", etc

General Relativity and Quantum Cosmology 2011-04-15 v1

Abstract

A multidimensional cosmological model with space-time consisting of n (n>1) Einstein spaces M_i is investigated in the presence of a cosmological constant Lambda and m homogeneous minimally coupled scalar fields as a matter source. Classes of the models integrable at classical as well as quantum levels are found. These classes are equivalent to each other. Quantum wormhole solutions are obtained for them and the procedure of the third quantization is performed. An inflationary universe arising from classically forbidden Euclidean region is investigated for a model with a cosmological constant.

Keywords

Cite

@article{arxiv.gr-qc/9611057,
  title  = {Multidimensional Quantum Cosmology: Quantum Wormholes, Third Quantization, Inflation from "Nothing", etc},
  author = {A. Zhuk},
  journal= {arXiv preprint arXiv:gr-qc/9611057},
  year   = {2011}
}