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Angular momentum at the black hole threshold

Carsten Gundlach
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Abstract

Near the black hole threshold in phase space, the black hole mass as a function of the initial data shows the "critical scaling" M \simeq C (p-p_*)^γ, where p labels a family of initial data, p_* is the value of p at the threshold, and the critical exponent γis universal for a given matter model. The black hole charge Q obeys a similar law. To complete the picture, we include angular momentum as a perturbation. For the black hole angular momentum \vec L we find the oscillating behavior \vec L \simeq Re[ (\vec A + i \vec B) (p-p_*)^{μ+iω} ]. The assumptions of the calculation hold for p = ρ/ 3 perfect fluid matter, and we calculate μ\simeq 0.799 and ω\simeq 0.231.

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Carsten Gundlach. 1997-12-21. Angular momentum at the black hole threshold. https://doi.org/10.1103/physrevd.57.7080

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