hyperboloidal

This is the first installment of a three-piece series on Penrose diagrams and the associated conformal compactification procedure. This post is a technical how-to describing how I draw quantitatively accurate Penrose diagrams to illustrate the causal structure of time surfaces using free and open-source software.

Hyperbolic geometry provides a natural setting for special relativity. This viewpoint simplifies calculations, provides insights into the theory, and has applications beyond special relativity in machine learning and general relativity.

Minkowski spacetime in hyperboloidal coordinates takes the form of a stack of hyperbolic manifolds with the same spatial geometry as anti-de Sitter spacetime. Is there a hyperboloidal realization of holography for isolated systems?

The Cauchy horizon inside a perturbed Kerr black hole develops an instability that transforms it into a curvature singularity. We solve …

The Cauchy horizon inside a Kerr black hole develops an instability that transforms it into a curvature singularity. Perturbative …

We study the horizon absorption of gravitational waves in coalescing, circularized, nonspinning black-hole binaries. The …

Black hole perturbation theory is typically studied on time surfaces that extend between the bifurcation sphere and spatial infinity. …

We discuss the properties of the effective-one-body (EOB) multipolar gravitational waveform emitted by nonspinning black-hole binaries …

We compute and analyze the gravitational waveform emitted to future null infinity by a system of two black holes in the …