Advertisement

Radiation from a D-Dimensional Collision of Shock Waves: Numerics and a Charged Case

  • 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)

Abstract

We describe the generalisation to higher orders, of a perturbative framework to find the metric after the collision of two Aichelburg–Sexl gravitational shock waves in D-dimensions. A central challenge is to estimate the amount of gravitational radiation emitted in the collision, at higher orders. We present an adaptation of the Bondi mass loss formula in D-dimensions which is valid non-perturbatively, for axially symmetric asymptotically flat space-times. This is shown to coincide with the Landau–Lifshitz pseudo tensor result at first order in perturbation theory. We also discuss the validity of the method with a collision of charged shocks.

Keywords

Shock Wave Apparent Horizon Flat Space Neutral Case Null Generator 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Notes

Acknowledgements

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.

References

  1. 1.
    P. C. Aichelburg and R. U. Sexl, Gen. Rel. Grav. 2, 303 (1971).CrossRefGoogle Scholar
  2. 2.
    V. Cardoso et al, Class. Quant. Grav. 29, p. 244001 (2012).Google Scholar
  3. 3.
    F. S. Coelho, C. Herdeiro and M. O. P. Sampaio, Phys. Rev. Lett. 108 181102 (2012).CrossRefGoogle Scholar
  4. 4.
    F. S. Coelho, C. Herdeiro, C. Rebelo and M. O. P. Sampaio (2012).Google Scholar
  5. 5.
    P. D. D’Eath, P. N. Payne, Phys. Rev. D46 658–674 (1992).MathSciNetGoogle Scholar
  6. 6.
    P. D. D’Eath, P. N. Payne, Phys. Rev. D46 675–693 (1992).MathSciNetGoogle Scholar
  7. 7.
    P. D. D’Eath, P. N. Payne, Phys. Rev. D46 694–701 (1992).MathSciNetGoogle Scholar
  8. 8.
    D. M. Eardley, S. B. Giddings, Phys. Rev. D66 044011 (2002).MathSciNetGoogle Scholar
  9. 9.
    C. Herdeiro, M. O. P. Sampaio and C. Rebelo, JHEP 1107 121 (2011).CrossRefGoogle Scholar
  10. 10.
    C. O. Lousto and N. G. Sanchez, Int. J. Mod. Phys. A 5 915 (1990).CrossRefGoogle Scholar
  11. 11.
    U. Sperhake et al, Phys. Rev. Lett. 101 161101 (2008).CrossRefGoogle Scholar
  12. 12.
    K. Tanabe, S. Kinoshita and T. Shiromizu, Phys. Rev. D 84 044055 (2011).CrossRefGoogle Scholar

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

Personalised recommendations