Lattice black branes: sphere packing in general relativity

  • Óscar J. C. Dias
  • Jorge E. Santos
  • Benson Way
Open Access
Regular Article - Theoretical Physics


We perturbatively construct asymptotically \( {\mathrm{\mathbb{R}}}^{1,3}\times {\mathbb{T}}^2 \) black branes with multiple inhomogeneous directions and show that some of them are thermodynamically preferred over uniform branes in both the microcanonical and canonical ensembles. This demonstrates that, unlike five-dimensional black strings, the instability of some unstable black branes has a plausible endpoint that does not require a violation of cosmic censorship.


Black Holes Classical Theories of Gravity 


Open Access

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Copyright information

© The Author(s) 2018

Authors and Affiliations

  • Óscar J. C. Dias
    • 1
  • Jorge E. Santos
    • 2
  • Benson Way
    • 3
  1. 1.STAG Research Centre and Mathematical SciencesUniversity of SouthamptonSouthamptonU.K.
  2. 2.Department of Applied Mathematics and Theoretical PhysicsUniversity of CambridgeCambridgeU.K.
  3. 3.Department of Physics and AstronomyUniversity of British ColumbiaVancouverCanada

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