2024/05/06 by Minghui Yu, Xian-Hui Ge, Yu, Ming-Hui +1 · 2 citations
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #High Energy Physics - Theory (hep-th) #Tensor decomposition and applications
paper · pdf · doi:10.48550/arxiv.2405.03220
openalex publication_date 2024/05/06 · openalex created_date 2024/05/10 · openalex updated_date 2026/07/28
Exploring the inverse problem tied to the Page curve phenomenon and island paradigm, we investigate the geometric conditions underpinning black hole evaporation where information is preserved and islands manifest, giving rise to the characteristic Page curve. Focusing on a broad class of static black hole metrics in asymptotically Minkowski or (anti-)de Sitter spacetimes, we derive a pivotal constraint on the blacken factor f(r) for which the island exists and reproduce the Page curve. Specifically, we reveal that a sufficient yet not universally necessary criterion -- manifested in the negativity of the second derivative of f(r), i.e. f′ ′ (r)<0, in proximity to the event horizon where r ∼ rh+ \cal O (GN), ensures the emergence of Page curves in a manner transcending specific theoretical models. This pivotal finding, supported by the tenets of the quantum focusing conjecture.