Accretion of a Symmetry Breaking Scalar Field by a Schwarzschild Black Hole
Dina Traykova (1), Jonathan Braden (1), Hiranya V. Peiris (1, 2), ((1) Department of Physics, Astronomy, University College London, London,, U.K., (2) The Oskar Klein Centre for Cosmoparticle Physics, Stockholm, University, AlbaNova, Stockholm, Sweden)

TL;DR
This paper uses high-precision simulations to study how a symmetry-breaking scalar field, like the Higgs, behaves near a Schwarzschild black hole, exploring both static and dynamic potential scenarios.
Contribution
It introduces a numerical framework to analyze the non-equilibrium dynamics of symmetry-breaking scalar fields around black holes, including time-dependent potential effects.
Findings
Scalar field accretion patterns near black holes
Impact of temperature on symmetry breaking dynamics
Insights into scalar field behavior in curved spacetime
Abstract
We simulate the behaviour of a Higgs-like field in the vicinity of a Schwarzschild black hole using a highly accurate numerical framework. We consider both the limit of the zero-temperature Higgs potential, and a toy model for the time-dependent evolution of the potential when immersed in a slowly cooling radiation bath. Through these numerical investigations, we aim to improve our understanding of the non-equilibrium dynamics of a symmetry breaking field (such as the Higgs) in the vicinity of a compact object such as a black hole. Understanding this dynamics may suggest new approaches for studying properties of scalar fields using black holes as a laboratory.
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