Regular Article - Theoretical Physics
Dynamical renormalization of black-hole spacetimes
Institut für Theoretische Physik, Universität Heidelberg, Philosophenweg 16, 69120, Heidelberg, Germany
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Accepted: 24 May 2019
Published online: 4 June 2019
We construct a black-hole spacetime which includes the running of the gravitational coupling in a self-consistent way. Starting from a classical Schwarzschild black hole, the backreaction effects produced by the running Newton’s coupling are taken into account iteratively. The sequence, described by a simple recurrence relation, flows towards a self-consistent solution that can be derived analytically. As a key result, if the gravitational renormalization group flow attains a non-trivial fixed point at high energies, the sequence converges to a “renormalized” black-hole spacetime of the Dymnikova-type, which is free of singularities.
© The Author(s), 2019