Planck Stars from a Scale-dependent Gravity theory

Understand

Scale dependence of fundamental physical parameters is a generic feature of ordinary quantum field theory.

• When applied to gravity, this idea produces effective actions generically containing a running Newtonian coupling constant, from which new (spherically symmetric) black hole spacetimes can be inferred.
• As a minimum useful requirement, of course, the new metrics should match with a Schwarzschild field at large radial coordinate.
• By further imposing to the new scale dependent metric the simple request of matching with the Donoghue quantum corrected potential, we find a not yet explored black hole spacetime, which naturally turns out to describe the so-called Planck stars.