Gregory-Laflamme-type instability of boson strings and related phases in D=5 Kaluza-Klein theory
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
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2025
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| _version_ | 1866908275096682496 |
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| author | Herdeiro, Carlos A. R. Radu, Eugen |
| author_facet | Herdeiro, Carlos A. R. Radu, Eugen |
| contents | We add an $S^1$ extra dimension (size $L$) to the well known $D=4$ static, spherically symmetric $Q$-balls and boson stars. We show that the resulting uniform horizonless boson strings possess a static zero-mode for a critical value of $L$. This is at the threshold of a Gregory-Laflamme instability of these objects, occurring for larger values of $L$.The non-linear continuation of the zero-mode yields $D=5$ non-uniform boson strings. In addition, there are also intrinsic $D=5$ solutions describing localized boson stars on the $S^1$, supported by the contribution of the scalar field Kaluza-Klein modes. Basic properties of all three types of aforementioned solutions are discussed, together with their phase space. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_15069 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Gregory-Laflamme-type instability of boson strings and related phases in D=5 Kaluza-Klein theory Herdeiro, Carlos A. R. Radu, Eugen General Relativity and Quantum Cosmology We add an $S^1$ extra dimension (size $L$) to the well known $D=4$ static, spherically symmetric $Q$-balls and boson stars. We show that the resulting uniform horizonless boson strings possess a static zero-mode for a critical value of $L$. This is at the threshold of a Gregory-Laflamme instability of these objects, occurring for larger values of $L$.The non-linear continuation of the zero-mode yields $D=5$ non-uniform boson strings. In addition, there are also intrinsic $D=5$ solutions describing localized boson stars on the $S^1$, supported by the contribution of the scalar field Kaluza-Klein modes. Basic properties of all three types of aforementioned solutions are discussed, together with their phase space. |
| title | Gregory-Laflamme-type instability of boson strings and related phases in D=5 Kaluza-Klein theory |
| topic | General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2503.15069 |