Quantum Gravity of Dust Collapse: Shock Waves from Black Holes
Abstract
We study the quantum gravitational collapse of spherically symmetric pressureless dust. Using an effective equation derived from a polymer quantization in the connection-triad phase space variables of general relativity, we find numerically, for a variety of initial dust configurations, that (i) trapped surfaces form and disappear as an initially collapsing density profile evolves into an outgoing shock wave; (ii) black hole lifetime is proportional to the square of its mass; and (iii) there is no mass inflation at inner apparent horizons. These results provide a substantially different view of black hole formation and subsequent evolution than found from semiclassical analyses.
- Publication:
-
Physical Review Letters
- Pub Date:
- March 2022
- DOI:
- 10.1103/PhysRevLett.128.121301
- arXiv:
- arXiv:2109.08667
- Bibcode:
- 2022PhRvL.128l1301H
- Keywords:
-
- General Relativity and Quantum Cosmology
- E-Print:
- 6 pages, 4 figures. v2: Conformal diagram added, minor clarifications, references added