Journal
PHYSICAL REVIEW D
Volume 106, Issue 2, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevD.106.024014
Keywords
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Funding
- Natural Sciences and Engineering Research Council of Canada
- UNB Fritz Grein Research Award
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By studying the quantum dynamics of Lema??tre-Tolman-Bondi space-times using a polymer quantization prescription, we have obtained important insights such as the evolution of dynamical horizons, non-singular bounce phenomena, the relationship between black hole lifetime and mass, and the modification of the traditional "information loss" picture.
We study the quantum dynamics of the Lema??tre-Tolman-Bondi space-times using a polymer quantization prescription based on loop quantum cosmology that incorporates fundamental discreteness. By solving an effective equation derived from this quantization, we find analytical solutions for the Oppenheimer-Snyder and thin-shell collapse models, and numerical solutions for a variety of asymptoti-cally flat collapsing dust profiles. Our study (i) tracks the formation, evolution, and disappearance of dynamical horizons, (ii) shows that matter undergoes a nonsingular bounce that results in an outgoing shock wave, (iii) determines black hole lifetime to be proportional to the square of its mass, and (iv) provides a conformal diagram that substantially modifies the standard ???information loss??? picture by resolving the singularity and replacing the event horizon by transient apparent horizons.
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