Anıl Zenginoğlu
Anıl Zenginoğlu
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hyperboloidal
How to draw Penrose diagrams
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.
Anıl Zenginoğlu
Sep 1, 2022
10 min read
Tutorial
Jealous of hyperbolic fish
If you are a physicist jealous of hyperbolic fish living in
Escher
’s
Circle Limit III
, I have good news for you! The asymptotic geometry of space is hyperbolic if you want it to be.
Anıl Zenginoğlu
Jan 23, 2022
9 min read
Research
Special relativity as hyperbolic geometry
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.
Anıl Zenginoğlu
Nov 6, 2021
10 min read
Research
Hyperboloidal Holography
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?
Oct 7, 2021
11 min read
Research
Cauchy-horizon singularity inside perturbed Kerr black holes
The Cauchy horizon inside a perturbed Kerr black hole develops an instability that transforms it into a curvature singularity. We solve …
Lior Burko
,
Gaurav Khanna
,
Anıl Zenginoğlu
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Journal
Erratum
Testing numerically the null Cauchy horizon singularity inside Kerr black holes
The Cauchy horizon inside a Kerr black hole develops an instability that transforms it into a curvature singularity. Perturbative …
Lior Burko
,
Gaurav Khanna
,
Anıl Zenginoğlu
Cite
Abstract
Horizon-absorption effects in coalescing black-hole binaries: An effective-one-body study of the nonspinning case
We study the horizon absorption of gravitational waves in coalescing, circularized, nonspinning black-hole binaries. The …
Sebastiano Bernuzzi
,
Alessandro Nagar
,
Anıl Zenginoğlu
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Journal
A geometric framework for black hole perturbations
Black hole perturbation theory is typically studied on time surfaces that extend between the bifurcation sphere and spatial infinity. …
Anıl Zenginoğlu
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Journal
Binary black hole coalescence in the extreme-mass-ratio limit: testing and improving the effective-one-body multipolar waveform
We discuss the properties of the effective-one-body (EOB) multipolar gravitational waveform emitted by nonspinning black-hole binaries …
Sebastiano Bernuzzi
,
Alessandro Nagar
,
Anıl Zenginoğlu
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Cite
Journal
Binary black hole coalescence in the large-mass-ratio limit: the hyperboloidal layer method and waveforms at null infinity
We compute and analyze the gravitational waveform emitted to future null infinity by a system of two black holes in the …
Sebastiano Bernuzzi
,
Alessandro Nagar
,
Anıl Zenginoğlu
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