Not Quite Killing It: Black Hole Evaporation, Global Energy, and De-Idealization

📝 Original Info

• Title: Not Quite Killing It: Black Hole Evaporation, Global Energy, and De-Idealization
• ArXiv ID: 2501.11142
• Date: 2025-01-19
• Authors: ** 정보 없음 (제공된 텍스트에 저자 정보가 포함되어 있지 않습니다.) **

📝 Abstract

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.

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