2025/01/19 by Eugene Y. S. Chua, Chua, Eugene Y. S. · 1 citation
Physics and Astronomy · #Cosmology and Gravitation Theories #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #History and Philosophy of Physics (physics.hist-ph) #Relativity and Gravitational Theory
paper · pdf · doi:10.48550/arxiv.2501.11142
openalex publication_date 2025/01/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
A family of arguments for black hole evaporation relies on conservation laws, defined through symmetries represented by Killing vector fields which exist globally or asymptotically. However, these symmetries often rely on the idealizations of stationarity and asymptotic flatness, respectively. In non-stationary or non-asymptotically-flat spacetimes where realistic black holes evaporate, the requisite Killing fields typically do not exist. Can we 'de-idealize' these idealizations, and subsequently the associated arguments for black hole evaporation? Here, I critically examine the strategy of using 'approximately Killing' fields to de-idealize black hole spacetimes and approximately extend conservation laws to non-idealized cases. I argue that this approach encounters significant challenges, undermining the use of these idealizations to justify the evaporation of realistic -- rather than idealized -- black holes, and raising questions about the justified use of such idealizations.