Charting GLOBs in Asymptotically Safe Gravity

Abstract

Computing the gravitational effective action provides a direct route to charting the landscape of admissible black hole spacetimes and their alternatives, which we will collectively call "gravitationally localized objects" (GLOBs). In this work, we provide a proof of principle of this idea within the framework of asymptotically safe gravity. Focusing on the Einstein-Weyl truncation, we identify the unique ultraviolet-complete trajectory emanating from the asymptotically safe fixed point and use it to extract the Wilson coefficient of the Weyl-squared term. This allows us to chart the corresponding GLOBs in a "phase diagram", showing that wormholes dominate a large portion of it, whereas the classical Bachian naked singularities become disfavored. Our results illustrate how quantum gravity can constrain effective field theory and the associated set of allowed spacetimes, yielding a rich landscape of beyond-general-relativity solutions rather than a single alternative to classical black holes.

21 pages + references, 6 figures

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