Vacuum decays around spinning black holes

TL;DR

This paper studies how the spin of black holes influences vacuum decay rates, finding that black hole spin can suppress decay and near-extremal black holes can stabilize false vacuum states, with implications for cosmology.

Contribution

It introduces a novel analysis of vacuum decay around spinning black holes using Israel junction conditions, highlighting the stabilizing effect of black hole spin and near-extremality.

Findings

Black hole spin suppresses vacuum decay rate.

Near-extremal black holes stabilize false vacuum states.

Ellipsoidal vacuum bubble shape affects decay dynamics.

Abstract

We investigate a vacuum decay around a spinning seed black hole by using the Israel junction condition and conclude that the spin of black hole would suppress a vacuum decay rate compared to that for a non-spinning case, provided that the surface of vacuum bubble has its ellipsoidal shape characterized by the Kerr geometry. We also find out that in the existence of a near-extremal black hole, a false vacuum state can be more stabilized than the case of the Coleman-de Luccia solution. A few necessary assumptions to carry the calculations are discussed.