A single branch of scalarized Einstein-Euler-Heisenberg black holes is constructed numerically, found to be thermodynamically disfavored and dynamically unstable for all magnetic charges.
Hairy Black Holes by Spontaneous Symmetry Breaking
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abstract
We study hairy black hole solutions in Einstein(--Maxwell)--scalar--Gauss--Bonnet theory. The scalar coupling function includes quadratic and quartic terms, so the gravitational action has a U(1) symmetry. We argued that when the effective mass of the scalar field is at the critical value, the non-hairy black holes transform into hairy black holes in a symmetry-broken vacuum via spontaneous symmetry breaking. These hairy black holes are stable under scalar perturbations, and the Goldstone bosons are trivial. Moreover, we found that the spontaneous symmetry breaking associated with local U(1) is unlikely to occur in this theory.
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Negative potential-induced scalarization in the Einstein-Euler-Heisenberg black hole
A single branch of scalarized Einstein-Euler-Heisenberg black holes is constructed numerically, found to be thermodynamically disfavored and dynamically unstable for all magnetic charges.