Dynamical renormalization of black-hole spacetimes
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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.
Original language | English |
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Article number | 470 |
Journal | European Physical Journal C |
Volume | 79 |
Issue number | 6 |
ISSN | 1434-6044 |
DOIs | |
Publication status | Published - 1 Jun 2019 |
Bibliographical note
Funding Information:
Acknowledgements The authors thank A. Bonanno, A. Eichhorn and K. Stelle for important comments and discussions. This work was supported by the DFG under grant no Ei-1037/1 and by the Alexander von Humboldt Foundation.
Publisher Copyright:
© 2019, The Author(s).
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