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Mass inflation inside non-Abelian black holes

Peter Breitenlohner·George Lavrelashvili·Dieter Maison
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Abstract

The interior geometry of static, spherically symmetric black holes of the Einstein-Yang-Mills-Higgs theory is analyzed. It is found that in contrast to the Abelian case generically no inner (Cauchy) horizon is formed inside non-Abelian black holes. Instead the solutions come close to a Cauchy horizon but then undergo an enormous growth of the mass function, a phenomenon which can be termed `mass inflation' in analogy to what is observed for perturbations of the Reissner-Nordstrøm solution. A significant difference between the theories with and without a Higgs field is observed. Without a Higgs field the YM field induces repeated cycles of massinflation -- taking the form of violent `explosions' -- interrupted by quiescent periods and subsequent approaches to an almost Cauchy horizon. With the Higgs field no such cycles occur. Besides the generic solutions there are non-generic families with a Schwarzschild, Reissner-Nordstrøm and a pseudo Reissner-Nordstrøm type singularity at $r=0$.

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Peter Breitenlohner, George Lavrelashvili, Dieter Maison. 1997-11-10. Mass inflation inside non-Abelian black holes. https://arxiv.org/abs/gr-qc/9711024

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