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Numerical relativity: the role of black holes in gravitational wave physics, astrophysics and high-energy physics

Abstract

Black holes play an important role in many areas of physics. Their modeling in the highly-dynamic, strong-field regime of general relativity requires the use of computational methods. We present a review of the main results obtained through numerical relativity simulations of black-hole spacetimes with a particular focus on the most recent developments in the areas of gravitational-wave physics, astrophysics, high-energy collisions, the gauge-gravity duality, and the study of fundamental properties of black holes.

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Fig. 1

Notes

  1. 1.

    Strictly speaking, this depends on the choice of gauge conditions.

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Acknowledgments

The author thanks Emanuele Berti, Vitor Cardoso, Pau Figueras, Leonardo Gualtieri, Carlos Herdeiro, Luis Lehner, Christian Ott, Frans Pretorius, Harvey Reall, Christian Reisswig, Carlos Sopuerta, Helvi Witek, and Miguel Zilhão for many fruitful discussions. This work was supported by the FP7-PEOPLE-2011-CIG CBHEO Grant No. 293412, the FP7-PEOPLE-2011-IRSES NRHEP Grant No. 295189, the STFC Grant No. ST/I002006/1, the XSEDE Grant No. PHY-090003 by the National Science Foundation, the Cosmos supercomputer infrastructure, part of the DiRAC HPC Facility funded by STFC and BIS, the Centro de Supercomputación de Galicia (CESGA) under Grant No. ICTS-2013-249, and the European Union’s FP7 ERC Starting Grant DyBHo-256667.

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Sperhake, U. Numerical relativity: the role of black holes in gravitational wave physics, astrophysics and high-energy physics. Gen Relativ Gravit 46, 1689 (2014). https://doi.org/10.1007/s10714-014-1689-z

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Keywords

  • Black holes
  • Numerical relativity
  • Gravitational waves
  • Higher dimensions