Radiation from a D-Dimensional Collision of Shock Waves: A Summary of the First Order Results

  • Flávio S. Coelho
  • Carlos Herdeiro
  • Carmen Rebelo
  • Marco O. P. Sampaio
Conference paper
Part of the Springer Proceedings in Mathematics & Statistics book series (PROMS, volume 60)


We describe how to set up a perturbative framework to compute the metric in the future of a D-dimensional collision of two high speed black holes, by superimposing two equal Aichelburg–Sexl shock waves traveling, head-on, in opposite directions. We then estimate the radiation emitted in the collision using a D-dimensional generalisation of the Landau–Lifschitz pseudo-tensor—workable in a first order approach—and compute the percentage of the initial centre of mass energy emitted as gravitational waves. We shall see that our first order results are always within the bound obtained from apparent horizons computations.


Black Hole Shock Wave Apparent Horizon Gravitational Radiation Past Light Cone 
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This work was supported by the grants NRHEP-295189, FP7-PEOPLE-2011-IRSES and PTDC/FIS/116625/2010. F.C., C.R and M.S. are funded respectively by the grants SFRH/BD/60272/2009, SFRH/BPD/77223/2011 and SFRH/BPD/69971/2010.


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Copyright information

© Springer-Verlag Berlin Heidelberg 2014

Authors and Affiliations

  • Flávio S. Coelho
    • 1
  • Carlos Herdeiro
    • 1
  • Carmen Rebelo
    • 1
  • Marco O. P. Sampaio
    • 1
  1. 1.Departamento de Físicada Universidade de Aveiro and I3N Campus de SantiagoAveiroPortugal

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