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Hawking radiation inside a rotating black hole

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arxiv 2401.03098 v2 pith:MPL55RRX submitted 2024-01-06 gr-qc

classification gr-qc
keywords blackholeobservershawkinghorizonradiationclassesevent
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abstract

In semiclassical gravity, the vacuum expectation value ${\langle\hat{N}\rangle}$ of the particle number operator for a quantum field gives rise to the perception of thermal radiation in the vicinity of a black hole. This Hawking effect has been examined only for observers asymptotically far from a Kerr black hole; here we generalize the analysis to various classes of freely falling observers both outside and inside the Kerr event horizon. Of note, we find that the effective temperature of the ${\langle\hat{N}\rangle}$ distribution remains regular for observers at the event horizon but becomes negative and divergent for observers reaching the inner Cauchy horizon. Furthermore, the perception of Hawking radiation varies greatly for different classes of observers, though the spectrum is generally a graybody that decreases in intensity with black hole spin and increases in temperature when looking toward the edges of the black hole shadow.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Semiclassical Black Hole-White Hole transitions: an analytical treatment

    gr-qc 2026-08 conditional novelty 6.0 of 10

    The |in>-vacuum stress-energy in 2D collapse models amplifies at the inner horizon and can flip the ingoing null expansion, turning a trapped region into an anti-trapped one.

  2. Violations of the null convergence condition in kinematical transitions between singular and regular black holes, horizonless compact objects, and bounces

    gr-qc 2025-02 conditional novelty 6.0 of 10

    During kinematical transitions between singular and regular black holes, horizonless compact objects, and bounces, the null convergence condition is violated even when both endpoint spacetimes respect it.

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