Abstract

We review recent progress in the application of numerical relativity techniques to astrophysics and high-energy physics. We focus on recent developments regarding the spin evolution in black hole binaries, high-energy black hole collisions, compact object solutions in scalar–tensor gravity, superradiant instabilities, hairy black hole solutions in Einstein’s gravity coupled to fundamental fields, and the possibility to gain insight into these phenomena using analog gravity models.

Highlights

  • The last global meeting of the Numerical Relativity and High Energy Physics network — a Marie Curie International Research Staff Exchange Scheme (IRSES) partnership (2012–2015) funded by the European Union and coordinated by the authors of this paper — started in Belem (Brazil) on 28 September 2015

  • A toolbox of powerful techniques became available after the numerical relativity breakthrough that took place in 2005.2–4 This naturally led to a community effort looking for applications of these tools both in astrophysics[5] and beyond.[6,7]

  • An interesting feature of scalar–tensor gravity is the prediction of characteristic physical phenomena which do not occur in general relativity (GR)

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Summary

Introduction

The last global meeting of the Numerical Relativity and High Energy Physics network — a Marie Curie International Research Staff Exchange Scheme (IRSES) partnership (2012–2015) funded by the European Union and coordinated by the authors of this paper — started in Belem (Brazil) on 28 September 2015. The existence of these BHs with scalar or Proca hair is intimately related with the complex phenomenon of superradiance, that can occur for rotating and charged BHs. Numerical relativity techniques have been (and will be) instrumental in probing the dynamics of these objects.

Black Hole Collisions
Astrophysical black holes and gravitational waves
Compact Objects in Modified Theories of Gravity
Spontaneous scalarization in compact stars
Black hole hair ?
Tensor-multi-scalar theories
Horndeski theories
Einstein-dilaton-Gauss–Bonnet gravity
Superradiance and superradiant instabilities
Hairy black holes bifurcating from the Kerr solution
Circumventing no-hair theorems
Stationary clouds and the threshold of superradiance
Solitonic limits and phenomenology
Can hairy BHs form?
Analog Gravity
Acoustic analogues
Canonical acoustic hole
Draining bathtub
Hydrodynamic vortex
Ergoregion instabilities in acoustic systems
Findings
Method
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