Asymptotic Safety, Singularities, and Gravitational Collapse

Details Asymptotic Safety, Singularities, and Gravitational Collapse Asymptotic Safety, Singularities, and Gravitational Collapse

2010-08-16

arxiv.org/abs/1008.2768v2

Phys.Lett.B695:317-319,2011

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

6 pages, latex. Version to appear in Physics Letters B

Scientific paper

10.1016/j.physletb.2010.10.060

Asymptotic safety (an ultraviolet fixed point with finite-dimensional critical surface) offers the possibility that a predictive theory of quantum gravity can be obtained from the quantization of classical general relativity. However, it is unclear what becomes of the singularities of classical general relativity, which, it is hoped, might be resolved by quantum effects. We study dust collapse with a running gravitational coupling and find that a future singularity can be avoided if the coupling becomes exactly zero at some finite energy scale. The singularity can also be avoided (pushed off to infinite proper time) if the coupling approaches zero sufficiently rapidly at high energies. However, the evolution deduced from perturbation theory still implies a singularity at finite proper time.

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