Not quite killing it: black hole evaporation, global energy, and de-idealization
Jan 19, 2025Published in:
- Eur.J.Phil.Sci. 15 (2025) 1, 12
- Published: Mar 1, 2025
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- 2501.11142 [physics.hist-ph]
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Abstract: (Springer)
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.Note:
- Accepted for publication in the European Journal for Philosophy of Science. v2: added and fixed missing references
- Black holes
- Black hole evaporation
- Global conservation of energy
- de-idealization
- Idealization
- Approximation
- Symmetries
- Approximate killing fields
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