On the Effective Metric of a Planck Star

Dec 18, 2014
10 pages
Published in:
  • Gen.Rel.Grav. 47 (2015) 4, 41
  • Published: Mar 17, 2015
e-Print:

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Abstract: (Springer)
Spacetime metrics describing ‘non-singular’ black holes are commonly studied in the literature as effective modification to the Schwarzschild solution that mimic quantum gravity effects removing the central singularity. Here we point out that to be physically plausible, such metrics should also incorporate the 1-loop quantum corrections to the Newton potential and a non-trivial time delay between an observer at infinity and an observer in the regular center. We present a modification of the well-known Hayward metric that features these two properties. We discuss bounds on the maximal time delay imposed by conditions on the curvature, and the consequences for the weak energy condition, in general violated by the large transversal pressures introduced by the time delay.
Note:
  • 10 pages, many figures; v2 added references
  • Quantum gravity
  • Black hole physics
  • Spacetime singularities
  • Apparent horizons
  • quantum gravity: loop space
  • quantum gravity: effect
  • gravitation: metric
  • correction: quantum
  • time delay
  • weak-energy condition