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March 14, 2026Journal of High Energy Physics0 citationsOpen Access

Asymptotically flat rotating topological stars

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PHPierre HeidmannPPPaolo PaniJSJorge E. Santos

Key Points

  • This research aims to construct and analyze new classes of rotating topological stars in minimal supergravity.
  • Construction of horizonless solutions using Kerr-Taub-bolt geometry in five dimensions.
  • Analysis of solutions carrying angular momentum, magnetic and electric charges.
  • Exploration of gravitational multipoles and separation of geodesics and scalar perturbations.
  • Introduced first rotating generalization of topological stars with conserved charges.
  • Found the existence of ergoregions and significant deviations in geometry from black holes.
  • Demonstrated relevance to potential black-hole microstates through proximity to Kerr black string.

Abstract

A bstract We construct a new class of smooth, horizonless, non-supersymmetric solutions in five-dimensional minimal supergravity, which we call rotating topological stars . Built from a Kerr-Taub-bolt geometry embedded in five dimensions, they constitute the first rotating generalization of the topological star compatible with both smoothness in the interior and standard Kaluza-Klein asymptotics, S 1 × ℝ 1,3 . The solutions carry angular momentum, magnetic and electric charges, and form a discrete tower of states labeled by a primary quantum number controlling the spin. Remarkably, despite lying outside the black-hole extremality bound, they can approach arbitrarily closely (in conserved charges) the Kerr black string with a large boost along the fifth dimension, making them relevant prototypes for rotating and astrophysical black-hole microstates. We analyze their geometry in detail, including their gravitational multipoles that can significantly deviate from those of black holes and the presence of an ergoregion, and show that both geodesics and scalar perturbations separate, paving the way for analyzing their dynamics in future work.

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Cite This Study

Heidmann et al. (2026) studied this question.

synapsesocial.com/papers/69b4b9eb18185d8a39802382https://doi.org/10.1007/jhep03(2026)108
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