Quantum Gravity of Dust Collapse: Shock Waves from Black Holes
Viqar HusainDepartment of Mathematics and Statistics, University of New Brunswick, Fredericton, New Brunswick E3B 5A3, CanadaJarod George KellyDepartment of Mathematics and Statistics, University of New Brunswick, Fredericton, New Brunswick E3B 5A3, CanadaRobert SantacruzDepartment of Mathematics and Statistics, University of New Brunswick, Fredericton, New Brunswick E3B 5A3, CanadaEdward Wilson-EwingDepartment of Mathematics and Statistics, University of New Brunswick, Fredericton, New Brunswick E3B 5A3, Canada
2022en
ABI
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.
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