Classical and quantum wormholes in an empty 5D compact Kaluza-Klein universe with positive cosmological constant

Details Classical and quantum wormholes in an empty 5D compact Kaluza-Klein universe with positive cosmological constant Classical and quantum wormholes in an empty 5D compact Kaluza-Klein universe with positive cosmological constant

2011-10-25

arxiv.org/abs/1110.5487v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

7 pages

Scientific paper

We study the classical and quantum wormholes for an empty (4+1) dimensional Kaluza-Klein universe with a positive cosmological constant and a spatially flat Robertson-Walker type metric. It is shown that classical wormholes do not exist for this model, but quantum wormholes as solutions of the Wheeler-DeWitt equation exist which are consistent with the Hawking-Page conjecture about the necessary boundary conditions.

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