No-boundary wave function of the anti–de Sitter space-time and the quantization of Λ

G. Oliveira-Neto
Phys. Rev. D 58, 107501 – Published 2 October 1998
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Abstract

The application of the “no-boundary” condition to space-times with initially open spatial sections may lead to extra conditions on physical quantities of these space-times. In the present Brief Report, we verify the above statement in a model where we compute the semi-classical approximation to the “no-boundary” wave function of the anti–de Sitter space-time. For this model the “no-boundary” conditions impose a well defined, discrete spectrum for the cosmological constant. As a by-product of our investigations we also find that among the space-times contributing to the above wave function there are two complex conjugate ones that show a new type of signature change.

  • Received 16 June 1998

DOI:https://doi.org/10.1103/PhysRevD.58.107501

©1998 American Physical Society

Authors & Affiliations

G. Oliveira-Neto*,†

  • Department of Physics, The University, Newcastle-Upon-Tyne, NE1 7RU, United Kingdom
  • Departamento de Fisica Teorica, Instituto de Fisica, UERJ, Rua Sao Francisco Xavier 524, Maracana, CEP 20550-013, Rio de Janeiro, Brazil

  • *Email address: n04c7@symbcomp.uerj.br
  • Present address.

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Vol. 58, Iss. 10 — 15 November 1998

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