Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2004-10-20
Phys.Rev. D70 (2004) 104017
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
23 pages. Misprints corrected
Scientific paper
10.1103/PhysRevD.70.104017
We discuss the question, whether the Reissner-Nordstr\"{o}m RN) metric can be glued to another solutions of Einstein-Maxwell equations in such a way that (i) the singularity at r=0 typical of the RN metric is removed (ii), matching is smooth. Such a construction could be viewed as a classical model of an elementary particle balanced by its own forces without support by an external agent. One choice is the Minkowski interior that goes back to the old Vilenkin and Fomin's idea who claimed that in this case the bare delta-like stresses at the horizon vanish if the RN metric is extremal. However, the relevant entity here is the integral of these stresses over the proper distance which is infinite in the extremal case. As a result of the competition of these two factors, the Lanczos tensor does not vanish and the extremal RN cannot be glued to the Minkowski metric smoothly, so the elementary-particle model as a ball empty inside fails. We examine the alternative possibility for the extremal RN metric - gluing to the Bertotti-Robinson (BR) metric. For a surface placed outside the horizon there always exist bare stresses but their amplitude goes to zero as the radius of the shell approaches that of the horizon. This limit realizes the Wheeler idea of "mass without mass" and "charge without charge". We generalize the model to the extremal Kerr-Newman metric glued to the rotating analog of the BR metric.
No associations
LandOfFree
Classical model of elementary particle with Bertotti-Robinson core and extremal black holes does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Classical model of elementary particle with Bertotti-Robinson core and extremal black holes, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Classical model of elementary particle with Bertotti-Robinson core and extremal black holes will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-536896