Characterizing black hole metrics in quadratic gravity

Understand

The recent discovery of non-Schwarzschild black hole spacetimes has opened new directions of research in higher-derivative gravitational theories.

• However, despite intense analytical and numerical efforts, the link with the linearized theory is still poorly understood.
• In this work we address this point for the Einstein-Weyl Lagrangian, whose weak field limit is characterized by the standard massless graviton and a spin-2 ghost.
• We show that the strength of the Yukawa term at infinity determines the thermal properties of the black hole and the structure of the singularity near $r=0$.