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  No-boundary prescriptions in Lorentzian quantum cosmology

Di Tucci, A., Lehners, J.-L., & Sberna, L. (2019). No-boundary prescriptions in Lorentzian quantum cosmology. Physical Review D, 100(12): 123543. doi:10.1103/PhysRevD.100.123543.

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Item Permalink: http://hdl.handle.net/21.11116/0000-0005-51AE-C Version Permalink: http://hdl.handle.net/21.11116/0000-0005-73AA-A
Genre: Journal Article

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 Creators:
Di Tucci, Alice, Author
Lehners, Jean-Luc1, Author              
Sberna, Laura, Author
Affiliations:
1String Cosmology, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_1753351              

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Free keywords: High Energy Physics - Theory, hep-th,General Relativity and Quantum Cosmology, gr-qc
 Abstract: We analyse the impact of various boundary conditions on the (minisuperspace) Lorentzian gravitational path integral. In particular we assess the implications for the Hartle-Hawking no-boundary wavefunction. It was shown recently that when this proposal is defined as a sum over compact metrics, problems arise with the stability of fluctuations. These difficulties can be overcome by an especially simple implementation of the no-boundary idea: namely to take the Einstein-Hilbert action at face value while adding no boundary term. This prescription simultaneously imposes an initial Neumann boundary condition for the scale factor of the universe and, for a Bianchi IX spacetime, Dirichlet conditions for the anisotropies. Another way to implement the no-boundary wavefunction is to use Robin boundary conditions. A sub-class of Robin conditions allows one to specify the Hubble rate on the boundary hypersurface, and we highlight the surprising aspect that specifying the final Hubble rate (rather than the final size of the universe) significantly alters the off-shell structure of the path integral. The conclusion of our investigations is that all current working examples of the no-boundary wavefunction force one to abandon the notion of a sum over compact and regular geometries, and point to the importance of an initial Euclidean momentum.

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 Dates: 2019-11-152019-12-032019
 Publication Status: Published in print
 Pages: 38 pages, 6 figures. v2: minor revisions
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 Identifiers: arXiv: 1911.06701
URI: http://arxiv.org/abs/1911.06701
DOI: 10.1103/PhysRevD.100.123543
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Title: Physical Review D
Source Genre: Journal
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Pages: - Volume / Issue: 100 (12) Sequence Number: 123543 Start / End Page: - Identifier: -