Planck Stars from a Scale-dependent Gravity theory
arXiv:2205.07088 · doi:10.1103/PhysRevD.107.104001
Abstract
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.
arXiv comment15 pages, 3 figures. Final version, to appear in Physical Review D
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