Multidimensional Classical and Quantum Wormholes in Models with Cosmological Constant

Details Multidimensional Classical and Quantum Wormholes in Models with Cosmological Constant Multidimensional Classical and Quantum Wormholes in Models with Cosmological Constant

1994-05-06

arxiv.org/abs/gr-qc/9405020v1

Nucl.Phys. B429 (1994) 177-204

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

31 pages, 5 figures available on request from ubleyer@aip.de, LaTeX, Potsdam University, preprint AIP 94-06

Scientific paper

10.1016/S0550-3213(94)80046-4

A multidimensional cosmological model with space-time consisting of $n (n \ge 2)$ Einstein spaces $M_{i}$ is investigated in the presence of a cosmological constant $\Lambda$ and a homogeneous minimally coupled scalar field $\varphi(t)$ as a matter source. Classical and quantum wormhole solutions are obtained for $\Lambda < 0$ and all $M_{i}$ being Ricci-flat. Classical wormhole solutions are also found for $\Lambda < 0$ and only one of the $M_{i}$ being Ricci-flat for the case of spontaneous compactification of the internal dimensions with fine tuning of parameters.

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