Mass inflation without Cauchy horizons
arxiv(2024)
摘要
Mass inflation is a well established instability, conventionally associated
to Cauchy horizons (which are also inner trapping horizons) of stationary
geometries, leading to a divergent exponential buildup of energy. We show here
that finite (but often large) exponential buildups of energy are generically
present for dynamical geometries endowed with slowly-evolving inner trapping
horizons, even in the absence of Cauchy horizons. This provides a more general
definition of mass inflation based on quasi-local concepts. We also show that
various known results in the literature are recovered in the limit in which the
inner trapping horizon asymptotically approaches a Cauchy horizon. Our results
imply that black hole geometries with non-extremal inner horizons, including
the Kerr geometry in general relativity, and non-extremal regular black holes
in theories beyond general relativity, can describe dynamical transients but
not the long-lived endpoint of gravitational collapse.
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