3 problems

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.…

Consider the inhomogeneous anisotropic setting in which hypothesis (a) of Theorem is replaced by the field equations of a higher-curvature theory, such as one involving powers of t…

The paper studies extendibility and initial singularities in Lorentzian metrical theories of gravity, with one result in the inhomogeneous anisotropic setting relying explicitly on…