Scholarlink

<p>We construct a recently found class of non-BPS black hole solutions with asymptotically <i>AdS</i><sub>3</sub> × <i>S</i><sup>3</sup> × <i>T</i> <sup>4</sup> in type IIB supergravity, consisting of multiple BTZ black holes localized on an <i>S</i><sup>3</sup>, within the group theoretical framework of Breitenlohner and Maison (BM). Starting with the multi-neutral black string solution as a seed, we solve the associated Riemann-Hilbert problem for the BM linear system. First, we determine the monodromy matrix corresponding to this seed solution by generalizing the early work of Katsimpouri et al. on the four-charged black hole of STU supergravity, where some assumptions must be relaxed for the solutions with multiple horizons. By applying the Harrison transformation, a charge-generating transformation in the SO(4, 4) group, to the monodromy matrix, we obtain the multi-charged black string solution. Furthermore, through a “subtraction” procedure—an SO(4, 4) transformation that changes the asymptotic structure from <i>R</i><sup>1,4</sup> × <i>S</i><sup>1</sup> × <i>T</i> <sup>4</sup> to <i>AdS</i><sub>3</sub> × <i>S</i><sup>3</sup> × <i>T</i> <sup>4</sup> spacetime— we derive the multi-BTZ black hole solution. This is the first example in which the subtraction procedure is applied to multiple black holes, and it may also have potential applications to other cases.</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

Building multi-BTZ black holes through Riemann-Hilbert problem

  • 期刊论文

  • 出版模式：

    开放获取

  • 发表日期：

    2025年12月5日

查看全文
  • Jun-ichi Sakamoto,
  • Shinya Tomizawa

摘要

We construct a recently found class of non-BPS black hole solutions with asymptotically AdS3 × S3 × T 4 in type IIB supergravity, consisting of multiple BTZ black holes localized on an S3, within the group theoretical framework of Breitenlohner and Maison (BM). Starting with the multi-neutral black string solution as a seed, we solve the associated Riemann-Hilbert problem for the BM linear system. First, we determine the monodromy matrix corresponding to this seed solution by generalizing the early work of Katsimpouri et al. on the four-charged black hole of STU supergravity, where some assumptions must be relaxed for the solutions with multiple horizons. By applying the Harrison transformation, a charge-generating transformation in the SO(4, 4) group, to the monodromy matrix, we obtain the multi-charged black string solution. Furthermore, through a “subtraction” procedure—an SO(4, 4) transformation that changes the asymptotic structure from R1,4 × S1 × T 4 to AdS3 × S3 × T 4 spacetime— we derive the multi-BTZ black hole solution. This is the first example in which the subtraction procedure is applied to multiple black holes, and it may also have potential applications to other cases.