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Schwarzschild-like topological solitons

  • Regular Article - Theoretical Physics
  • Open Access
  • Published: 26 August 2022
  • volume 2022, Article number: 269 (2022)
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Schwarzschild-like topological solitons
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  • Ibrahima Bah1,2,
  • Pierre Heidmann  ORCID: orcid.org/0000-0003-3423-41151 &
  • Peter Weck1 

  • 268 Accesses

  • 6 Citations

  • 87 Altmetric

  • 12 Mentions

  • Explore all metrics

  • Cite this article

A preprint version of the article is available at arXiv.

Abstract

We construct the first class of topological solitons in gravity that are supported by internal electromagnetic flux with vanishing net charges. The solutions are obtained in a six-dimensional Einstein-Maxwell theory with a three-form flux, and admit an uplift to type IIB supergravity on T4. They are asymptotic to a torus fibration over four-dimensional Minkowski spacetime. An interesting class corresponds to solitons with a BPS particle and its anti-BPS partner held apart by a vacuum bubble. In type IIB, they correspond to bound states of BPS and anti-BPS D1-D5 extremal black holes. These metrics are a particular limit of a larger class of axially symmetric metrics that we construct and that describe smooth horizonless topological solitons. They correspond to bound states of three non-BPS bubbles on a line. An important achievement is that the outer bubbles can carry arbitrary D1-D5 charges that we can tune to vanishing net charges. We discuss their properties and compare them to a four-dimensional Schwarzschild black hole of the same mass. We show that they have a long throat with a large redshift, and that they are ultra-compact with a characteristic size of 1.52 times the Schwarzschild radius.

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Author information

Authors and Affiliations

  1. Department of Physics and Astronomy, Johns Hopkins University, 3400 North Charles Street, Baltimore, MD, 21218, USA

    Ibrahima Bah, Pierre Heidmann & Peter Weck

  2. Institute for Advanced Study, 1 Einstein Drive, Princeton, NJ, 08540, USA

    Ibrahima Bah

Authors
  1. Ibrahima Bah
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  2. Pierre Heidmann
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  3. Peter Weck
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Correspondence to Pierre Heidmann.

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ArXiv ePrint: 2203.12625

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Cite this article

Bah, I., Heidmann, P. & Weck, P. Schwarzschild-like topological solitons. J. High Energ. Phys. 2022, 269 (2022). https://doi.org/10.1007/JHEP08(2022)269

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  • Received: 12 May 2022

  • Revised: 12 July 2022

  • Accepted: 05 August 2022

  • Published: 26 August 2022

  • DOI: https://doi.org/10.1007/JHEP08(2022)269

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Keywords

  • Black Holes in String Theory
  • Black Holes
  • Classical Theories of Gravity
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