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<p>We add an <i>S</i><sup>1</sup> extra dimension (size <i>L</i>) to the well known <i>D</i> = 4 static, spherically symmetric <i>Q</i>-balls and boson stars. We show that the resulting <i>uniform horizonless boson strings</i> possess a static zero-mode for a critical value of <i>L</i>. This is at the threshold of a Gregory-Laflamme instability of these objects, occurring for larger values of <i>L</i>. The non-linear continuation of the zero-mode yields <i>D</i> = 5 <i>non-uniform boson strings</i>. In addition, there are also intrinsic <i>D</i> = 5 solutions describing <i>localized boson stars on the S</i><sup>1</sup>, 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.</p>

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Gregory-Laflamme-type instability of boson strings and related phases in D = 5 Kaluza-Klein theory

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  • 发表日期：

    2025年8月6日

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  • C. Herdeiro,
  • E. Radu

摘要

We add an S1 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 S1, 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.