The Gauss–Bonnet Penrose inequality

Let $M$ be the mass, $A$ the horizon area, $\alpha$ the Einstein–Gauss–Bonnet coupling, and $\chi(\Sigma)$ the Euler characteristic of the horizon. Gauss–Bonnet Penrose conjecture. In Einstein–Gauss–Bonnet gravity, one should have

$$M\geq\sqrt{\frac{A}{16\pi}+\frac{\pi\alpha}{A}\chi(\Sigma)}.$$

This proposes the corresponding curvature-corrected Penrose inequality; the source gives no resolution status.