Spacetime geometry

ADM (3+1) black-hole initial data, curvature, embedding diagrams, and the global causal structure of Schwarzschild spacetime.

The ADM (3+1) formalism: black-hole initial data and the ADM mass

The ADM (3+1) formalism: black-hole initial data and the ADM mass

Validating the curvature engine: Einstein’s vacuum field equations

Validating the curvature engine: Einstein's vacuum field equations

Flamm’s paraboloid: gravity as curved geometry, not a force

Flamm's paraboloid: gravity as curved geometry, not a force

Kruskal-Szekeres and Penrose-Carter diagrams: the true shape of spacetime

Kruskal-Szekeres and Penrose-Carter diagrams: the true shape of spacetime