Jul 5 – 10, 2021
Europe/Rome timezone

Bardeen Black Hole from a Self-Dual Radius in Spacetime

Jul 6, 2021, 11:00 AM
Talk in the parallel session Black Holes in alternative theories of gravity Black Holes in Alternative Theories of Gravity


Michael Florian Wondrak (Goethe-Universität Frankfurt and Helmholtz Research Academy Hesse for FAIR )


From a phenomenological point of view, the singularities of ordinary black hole solutions hint at a breakdown of general relativity. The Bardeen black hole is a prototype of regular black hole solutions, i.e. those which are geodesically complete and avoid a curvature singularity.

The Bardeen solution is generally interpreted as a magnetically or electrically charged solution to gravity coupled to non-linear electrodynamics. In this talk, we derive that in a spacetime inheriting a self-dual radius from string theory, black holes naturally take on the Bardeen form.

The threshold mass for Bardeen black holes achieves a particular interpretation. During the evaporation process, a black hole undergoes a transition from an instable classical Schwarzschild phase to a stable quantum phase. In the end, there is a cold, thermodynamically stable remnant. The minimal black hole size of the order of the self-dual radius.

The self-dual radius can be tested by its impact on quantum mechanical systems. We find that it modifies the form of the atomic electrostatic potentials. We derive experimental bounds from high-precision spectroscopy of the hydrogen atom. The investigation of the 1S_{1/2}--2S_{1/2} transition frequency allows to constrain the self-dual radius down to below 3.9 × 10^(-19) m.

Primary author

Michael Florian Wondrak (Goethe-Universität Frankfurt and Helmholtz Research Academy Hesse for FAIR )

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