Critical collapse in Einstein-Gauss-Bonnet gravity in five and six dimensions

N. Deppe, C. D. Leonard, T. Taves, G. Kunstatter, and R. B. Mann
Phys. Rev. D 86, 104011 – Published 5 November 2012

Abstract

Einstein-Gauss-Bonnet gravity provides a natural higher dimensional and higher order curvature generalization of Einstein gravity. It contains a new, presumably microscopic, length scale that should affect short distance properties of the dynamics, such as Choptuik scaling. We present the results of a numerical analysis in generalized flat slice coordinates of self-gravitating massless scalar spherical collapse in five and six dimensional Einstein-Gauss-Bonnet gravity near the threshold of black hole formation. Remarkably, the behavior is universal (i.e., independent of initial data) but qualitatively different in five and six dimensions. In five dimensions there is a minimum horizon radius, suggestive of a first order transition between black hole and dispersive initial data. In six dimensions no radius gap is evident. Instead, below the Gauss-Bonnet scale there is a change in the critical exponent and echoing period.

  • Figure
  • Figure
  • Figure
  • Figure
  • Figure
  • Figure
  • Figure
2 More
  • Received 6 September 2012

DOI:https://doi.org/10.1103/PhysRevD.86.104011

© 2012 American Physical Society

Authors & Affiliations

N. Deppe1, C. D. Leonard3,4, T. Taves2,6, G. Kunstatter1,2, and R. B. Mann3,5

  • 1Department of Physics and Astronomy, University of Winnipeg, Winnipeg, Manitoba R3B 2E9, Canada
  • 2Winnipeg Institute of Theoretical Physics, Winnipeg, Manitoba R3B 2E9, Canada
  • 3Department of Physics and Astronomy, University of Waterloo, Waterloo, Ontario N2L 3G1, Canada
  • 4Department of Physics and Physical Oceanography, Memorial University of Newfoundland, Saint John’s, Newfoundland A1B 3X7, Canada
  • 5Perimeter Institute, 31 Caroline Street North, Waterloo, Ontario N2L 2Y5, Canada
  • 6Department of Physics and Astronomy, University of Manitoba, Winnipeg, Manitoba R3T 2N2, Canada

Article Text (Subscription Required)

Click to Expand

References (Subscription Required)

Click to Expand
Issue

Vol. 86, Iss. 10 — 15 November 2012

Reuse & Permissions
Access Options
Author publication services for translation and copyediting assistance advertisement

Authorization Required


×
×

Images

×

Sign up to receive regular email alerts from Physical Review D

Log In

Cancel
×

Search


Article Lookup

Paste a citation or DOI

Enter a citation
×