Within the Bousso-Hawking effective action, the Schwarzschild-de Sitter asymptotic is excluded, which undermines earlier anti-evaporation results that used the Nariai limit.
The structure of the extreme Schwarzschild-de Sitter space-time
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abstract
The extreme Schwarzschild-de Sitter space-time is a spherically symmetric solution of Einstein's equations with a cosmological constant Lambda and mass parameter m>0 which is characterized by the condition that 9 Lambda m^2=1. The global structure of this space-time is here analyzed in detail. Conformal and embedding diagrams are constructed, and synchronous coordinates which are suitable for a discussion of the cosmic no-hair conjecture are presented. The permitted geodesic motions are also analyzed. By a careful investigation of the geodesics and the equations of geodesic deviation, it is shown that specific families of observers escape from falling into the singularity and approach nonsingular asymptotic regions which are represented by special "points" in the complete conformal diagram. The redshift of signals emitted by particles which fall into the singularity, as detected by those observers which escape, is also calculated.
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2019 1verdicts
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(Anti-)evaporation of Schwarzschild-de Sitter black holes revisited
Within the Bousso-Hawking effective action, the Schwarzschild-de Sitter asymptotic is excluded, which undermines earlier anti-evaporation results that used the Nariai limit.