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PhysRevD.97.044005.pdf | 449.9 kB | Adobe PDF | 見る/開く |
タイトル: | Massive graviton geons |
著者: | Aoki, Katsuki https://orcid.org/0000-0002-9616-096X (unconfirmed) Maeda, Kei-ichi Misonoh, Yosuke Okawa, Hirotada |
著者名の別形: | 大川, 博督 |
発行日: | 15-Feb-2018 |
出版者: | American Physical Society (APS) |
誌名: | Physical Review D |
巻: | 97 |
号: | 4 |
論文番号: | 044005 |
抄録: | We find vacuum solutions such that massive gravitons are confined in a local spacetime region by their gravitational energy in asymptotically flat spacetimes in the context of the bigravity theory. We call such self-gravitating objects massive graviton geons. The basic equations can be reduced to the Schrödinger-Poisson equations with the tensor “wave function” in the Newtonian limit. We obtain a nonspherically symmetric solution with j=2, ℓ=0 as well as a spherically symmetric solution with j=0, ℓ=2 in this system where j is the total angular momentum quantum number and ℓ is the orbital angular momentum quantum number, respectively. The energy eigenvalue of the Schrödinger equation in the nonspherical solution is smaller than that in the spherical solution. We then study the perturbative stability of the spherical solution and find that there is an unstable mode in the quadrupole mode perturbations which may be interpreted as the transition mode to the nonspherical solution. The results suggest that the nonspherically symmetric solution is the ground state of the massive graviton geon. The massive graviton geons may decay in time due to emissions of gravitational waves but this timescale can be quite long when the massive gravitons are nonrelativistic and then the geons can be long-lived. We also argue possible prospects of the massive graviton geons: applications to the ultralight dark matter scenario, nonlinear (in)stability of the Minkowski spacetime, and a quantum transition of the spacetime. |
著作権等: | Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. |
URI: | http://hdl.handle.net/2433/230556 |
DOI(出版社版): | 10.1103/PhysRevD.97.044005 |
出現コレクション: | 学術雑誌掲載論文等 |
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