Black-hole stability in non-local gravity
Gianluca Calcagni, Leonardo Modesto, Yun Soo Myung

TL;DR
This paper demonstrates that Ricci-flat vacuum solutions remain stable under linear perturbations within a novel class of weakly non-local gravity theories that are finite at the quantum level.
Contribution
It establishes the linear stability of Ricci-flat solutions in a new class of weakly non-local, quantum-finite gravity theories.
Findings
Ricci-flat solutions are linearly stable in the proposed theories
Theories are finite at the quantum level
Stability proof applies to vacuum solutions
Abstract
We prove that Ricci-flat vacuum exact solutions are stable under linear perturbations in a new class of weakly non-local gravitational theories finite at the quantum level.
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