Planck Stars from a Scale-dependent Gravity theory

TL;DR

This paper explores a scale-dependent gravity theory leading to a new black hole spacetime model that naturally describes Planck stars, incorporating quantum corrections and matching classical limits.

Contribution

It introduces a novel black hole solution derived from scale-dependent gravity that aligns with quantum-corrected potentials and describes Planck stars.

Findings

New black hole spacetime consistent with quantum corrections

Matching with classical Schwarzschild and quantum potentials

Description of Planck stars within a scale-dependent gravity framework

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.