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Hawking radiation inside a charged, cosmological black hole

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arxiv 2408.13955 v2 pith:ZLLVMG5Z submitted 2024-08-25 gr-qc

classification gr-qc
keywords beeneffectivemodestemperaturebehaviorfunctionhawkingobserver
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We study the effective temperature, as a rate of gravitational redshift, of the Hawking modes perceived by a radially free falling observer at an arbitrary location in a Reissner-Nordstr\"{o}m-(anti-)de Sitter [RN(A)dS] spacetime. In particular, the behavior of the modes at the inner horizon, and therein the validity of the strong cosmic censorship conjecture under the effective temperature formalism, has been analyzed across the physically permissible parameter space of the RNdS metric. The modes perceived by observers of both positive and negative specific energies have been taken into consideration. Finally, the behavior of the adiabatic control function has been examined over the position space of the observer to determine the regimes where the effective temperature function yields a Planckian spectrum of thermal radiation.

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  1. Bounds for Lyapunov exponent of circular light orbits in black holes

    gr-qc 2024-12 conditional novelty 6.0 of 10

    For any static, spherically symmetric black hole obeying Einstein's equations and the dominant energy condition, the circular photon orbit's Lyapunov exponent is bounded by the photon-sphere surface gravity, the Unruh...

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