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Relating Mass to Angular Momentum and Charge in Five-Dimensional Minimal Supergravity

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Abstract

We prove a mass-angular momentum-charge inequality for a broad class of maximal, asymptotically flat, bi-axisymmetric initial data within the context of five-dimensional minimal supergravity. We further show that the charged Myers–Perry black hole initial data are the unique minimizers. Also, we establish a rigidity statement for the relevant BPS bound, and give a variational characterization of BMPV black holes.

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Authors and Affiliations

  1. Department of Mathematical and Statistical Science, University of Alberta, Edmonton, AB, T6G 2G1, Canada

    Aghil Alaee

  2. Department of Mathematics, Stony Brook University, Stony Brook, NY, 11794, USA

    Marcus Khuri

  3. Department of Mathematics and Statistics, Memorial University of Newfoundland, St John’s, NL, A1C 4P5, Canada

    Hari Kunduri

Authors
  1. Aghil Alaee
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  2. Marcus Khuri
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  3. Hari Kunduri
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Corresponding author

Correspondence to Hari Kunduri.

Additional information

Communicated by Boris Pioline.

A. Alaee acknowledges the support of a PIMS Postdoctoral Fellowship. M. Khuri acknowledges the support of NSF Grant DMS-1308753. H. Kunduri acknowledges the support of NSERC Grant 418537-2012.

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Alaee, A., Khuri, M. & Kunduri, H. Relating Mass to Angular Momentum and Charge in Five-Dimensional Minimal Supergravity. Ann. Henri Poincaré 18, 1703–1753 (2017). https://doi.org/10.1007/s00023-016-0542-1

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  • DOI: https://doi.org/10.1007/s00023-016-0542-1

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