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  • Letter
  • Open Access

Spherical collapse in scalar-Gauss-Bonnet gravity: Taming ill-posedness with a Ricci coupling

Farid Thaalba1,2, Miguel Bezares1,2, Nicola Franchini3,4, and Thomas P. Sotiriou1,2,5

  • 1Nottingham Centre of Gravity, Nottingham NG7 2RD, United Kingdom
  • 2School of Mathematical Sciences, University of Nottingham, University Park, Nottingham NG7 2RD, United Kingdom
  • 3Université Paris Cité, CNRS, Astroparticule et Cosmologie, F-75013 Paris, France
  • 4CNRS-UCB International Research Laboratory, Centre Pierre Binétruy, IRL2007, CPB-IN2P3, Berkeley, California 94720, USA
  • 5School of Physics and Astronomy, University of Nottingham, University Park, Nottingham NG7 2RD, United Kingdom

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Phys. Rev. D 109, L041503 – Published 20 February, 2024

DOI: https://doi.org/10.1103/PhysRevD.109.L041503

Abstract

We study spherical collapse of a scalar cloud in scalar-Gauss-Bonnet gravity—a theory in which black holes can develop scalar hair if they are in a certain mass range. We show that an additional quadratic coupling of the scalar field to the Ricci scalar can mitigate loss of hyperbolicity problems that have plagued previous numerical collapse studies and instead lead to well-posed evolution. This suggests that including specific additional interactions can be a successful strategy for tackling well-posedness problems in effective field theories of gravity with nonminimally coupled scalars. Our simulations also show that spherical collapse leads to black holes with scalar hair when their mass is below a mass threshold and above a minimum mass bound and that above the mass threshold, the collapse leads to black holes without hair, in line with results in the static case and perturbative analyses. For masses below the minimum mass bound, we find that the scalar cloud smoothly dissipates, leaving behind flat space.

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Phys. Rev. D 109, L041503– Published 20 February, 2024
  • Received 9 June 2023
  • Accepted 12 January 2024
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