DeWitt boundary condition is consistent in Hořava-Lifshitz quantum gravity
In quantum cosmology the DeWitt boundary condition is a proposal to set the wave function of the universe to vanish at the classical big-bang singularity. In this Letter, we show that in many gravitational theories including general relativity, the DeWitt wave function does not take a desired form o...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Elsevier
2022-10-01
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| Series: | Physics Letters B |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S0370269322004749 |
| _version_ | 1797998929361502208 |
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| author | Hiroki Matsui Shinji Mukohyama Atsushi Naruko |
| author_facet | Hiroki Matsui Shinji Mukohyama Atsushi Naruko |
| author_sort | Hiroki Matsui |
| collection | DOAJ |
| description | In quantum cosmology the DeWitt boundary condition is a proposal to set the wave function of the universe to vanish at the classical big-bang singularity. In this Letter, we show that in many gravitational theories including general relativity, the DeWitt wave function does not take a desired form once tensor perturbations around a homogeneous and isotropic closed universe are taken into account: anisotropies and inhomogeneities due to the perturbations are not suppressed near the classical singularity. We then show that Hořava-Lifshitz gravity provides a satisfactory DeWitt wave function. In particular, in the limit of z=3 anisotropic scaling, we find an exact analytic expression for the DeWitt wave function of the universe with scale-invariant perturbations. In general cases with relevant deformations, we show that the DeWitt wave function can be systematically expanded around the classical big-bang singularity with perturbations under control. |
| first_indexed | 2024-04-11T10:56:29Z |
| format | Article |
| id | doaj.art-772e3f505e9a456bac608dfba1b3dffa |
| institution | Directory Open Access Journal |
| issn | 0370-2693 |
| language | English |
| last_indexed | 2024-04-11T10:56:29Z |
| publishDate | 2022-10-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Physics Letters B |
| spelling | doaj.art-772e3f505e9a456bac608dfba1b3dffa2022-12-22T04:28:45ZengElsevierPhysics Letters B0370-26932022-10-01833137340DeWitt boundary condition is consistent in Hořava-Lifshitz quantum gravityHiroki Matsui0Shinji Mukohyama1Atsushi Naruko2Center for Gravitational Physics and Quantum Information, Yukawa Institute for Theoretical Physics, Kyoto University, 606-8502, Kyoto, Japan; Corresponding author.Center for Gravitational Physics and Quantum Information, Yukawa Institute for Theoretical Physics, Kyoto University, 606-8502, Kyoto, Japan; Kavli Institute for the Physics and Mathematics of the Universe (WPI), The University of Tokyo Institutes for Advanced Study, The University of Tokyo, Kashiwa, Chiba 277-8583, JapanCenter for Gravitational Physics and Quantum Information, Yukawa Institute for Theoretical Physics, Kyoto University, 606-8502, Kyoto, JapanIn quantum cosmology the DeWitt boundary condition is a proposal to set the wave function of the universe to vanish at the classical big-bang singularity. In this Letter, we show that in many gravitational theories including general relativity, the DeWitt wave function does not take a desired form once tensor perturbations around a homogeneous and isotropic closed universe are taken into account: anisotropies and inhomogeneities due to the perturbations are not suppressed near the classical singularity. We then show that Hořava-Lifshitz gravity provides a satisfactory DeWitt wave function. In particular, in the limit of z=3 anisotropic scaling, we find an exact analytic expression for the DeWitt wave function of the universe with scale-invariant perturbations. In general cases with relevant deformations, we show that the DeWitt wave function can be systematically expanded around the classical big-bang singularity with perturbations under control.http://www.sciencedirect.com/science/article/pii/S0370269322004749 |
| spellingShingle | Hiroki Matsui Shinji Mukohyama Atsushi Naruko DeWitt boundary condition is consistent in Hořava-Lifshitz quantum gravity Physics Letters B |
| title | DeWitt boundary condition is consistent in Hořava-Lifshitz quantum gravity |
| title_full | DeWitt boundary condition is consistent in Hořava-Lifshitz quantum gravity |
| title_fullStr | DeWitt boundary condition is consistent in Hořava-Lifshitz quantum gravity |
| title_full_unstemmed | DeWitt boundary condition is consistent in Hořava-Lifshitz quantum gravity |
| title_short | DeWitt boundary condition is consistent in Hořava-Lifshitz quantum gravity |
| title_sort | dewitt boundary condition is consistent in horava lifshitz quantum gravity |
| url | http://www.sciencedirect.com/science/article/pii/S0370269322004749 |
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