标题： 无柯西视界的质量膨胀 显示英文标题

标题： Mass inflation without Cauchy horizons

摘要： 质量发散是一种被广泛认可的不稳定性，通常与静态几何中的克尔奇地平线（也是内俘获地平线）相关联，导致能量呈发散的指数增长。 我们在此表明，即使没有克尔奇地平线，对于具有缓慢演化的内俘获地平线的动力学几何，能量也通常会出现有限但常常较大的指数增长。 这基于准局域概念提供了一个更广义的质量发散定义。 我们还表明，在内俘获地平线渐近接近克尔奇地平线的情况下，文献中的各种已知结果可以在极限情况下恢复。 我们的结果表明，非极端内视界黑洞几何，包括广义相对论中的克尔几何以及广义相对论之外的非极端规则黑洞，可以描述动力学瞬态，但不能描述引力坍缩的长期终点。 显示英文摘要

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.