The Schwarzschild singularity: a semiclassical bounce?

Aug 10, 2018
6 pages
Published in:
  • Grav.Cosmol. 24 (2018) 4, 315-320
  • Published: Nov 16, 2018
e-Print:

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Abstract: (arXiv)
We discuss the opportunity that the singularity inside a Schwarzschild black hole could be replaced by a regular bounce, described as a regular minimum of the spherical radius (instead of zero) and a regular maximum of the longitudinal scale (instead of infinity) in the corresponding Kantowski-Sachs metric. Such a metric in a vicinity of the bounce is shown to be a solution to the Einstein equations with the stress-energy tensor representing vacuum polarization of quantum matter fields, described by a combination of curvature-quadratic terms in the effective action. The indefinite parameters of the model can be chosen in such a way that it remains a few orders of magnitude apart from the Planck scale (say, on the GUT scale), that is, in a semiclassical regime.
Note:
  • 6 pages, no figures. 5 references and some comments added
  • scale: grand unified theory
  • singularity: Schwarzschild
  • scale: Planck
  • black hole: Schwarzschild
  • tensor: energy-momentum
  • bounce
  • semiclassical
  • vacuum polarization
  • Einstein equation
  • effective action