Strong Cosmic Censorship (SCC) Conjecture

Prove the strong cosmic censorship conjecture by establishing that, for generic asymptotically flat initial data for Einstein’s equations, the maximal Cauchy development is inextendible, thereby ruling out extendible spacetimes with Cauchy horizons under generic perturbations.

Background

The paper analyzes Hawking-mode effective temperatures perceived by freely falling observers in Reissner–Nordström–(anti-)de Sitter spacetimes, with particular attention to the inner (Cauchy) horizon and implications for strong cosmic censorship (SCC). The inner horizon is known to exhibit infinite blueshift and associated mass inflation under perturbations, motivating SCC.

Historically, the presence of a positive cosmological constant can introduce redshift effects that may counter blueshift near the inner horizon, raising questions about whether the Cauchy horizon might persist without forming a singularity. The paper evaluates this interplay using the effective-temperature formalism and compares with results based on the quantum stress–energy tensor.

Within this context, the authors restate the precise formulation of SCC as an inextendibility statement for the maximal Cauchy development under generic asymptotically flat initial data, framing the broader conjectural backdrop against which their calculations are assessed.