Asymptotically anti-de Sitter wormholes

Details Asymptotically anti-de Sitter wormholes Asymptotically anti-de Sitter wormholes

1995-10-24

arxiv.org/abs/gr-qc/9510047v1

Phys.Rev. D53 (1996) 3162-3171

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

10 pages, RevTeX 3.0, LaTeX 2.09

Scientific paper

10.1103/PhysRevD.53.3162

Starting with a procedure for dealing with general asymptotic behaviors, we construct a quantum theory for asymptotically anti-de Sitter wormholes. We follow both the path integral formalism and the algebraic quantization program proposed by Ashtekar. By adding suitable surface terms, the Euclidean action of the asymptoically anti-de Sitter wormholes can be seen to be finite and gauge invariant. This action determines an appropriate variational problem for wormholes. We also obtain the wormhole wave functions of the gravitational model and show that all the physical states of the quantum theory are superpositions of wormhole states.

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