Cauchy horizon stability and mass inflation with a cosmological constant

Spanish Relativity Meeting: almost 100 years after Einstein's revolution

Costa, João L.^1,2 ; Girão, Pedro M.^2 ; Natário, José^2 ; Silva, Jorge Drumond^2

ISCTE-Instituto Universitário de Lisboa, Portugal^1

Center for Mathematical Analysis, Geometry and Dynamical Systems, Instituto Superior Técnico, Universidade de Lisboa, Portugal^2

关键词: Black holes;    Cosmological constants;    Event horizon;    Initial conditions;    Positive cosmological constant;    Scalar fields;    Spherical symmetry;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/600/1/012031/pdf
DOI  :  10.1088/1742-6596/600/1/012031

来源: IOP

【 摘 要 】

Motivated by the strong cosmic censorship conjecture, we consider the Einstein- Maxwell-scalar field system with a cosmological constant Λ (of any sign), under spherical symmetry, for characteristic initial conditions, with outgoing data prescribed by a (complete) subextremalReissner-Nordstrom black hole event horizon. We study the structure of the future maximal (globally hyperbolic) development, analyze the mass inflation scenarios, identifying, in particular, large choices of parameters for which the Hawking mass remains bounded, and study the existence of regular extensions. We also discuss why our results, although valid for all signs of Λ, only provide evidence for the failure of strong cosmic censorship in the case of a positive cosmological constant.