[HTML][HTML] Continuum and discrete initial-boundary value problems and Einstein's field equations

O Sarbach, M Tiglio - Living reviews in relativity, 2012 - Springer
Many evolution problems in physics are described by partial differential equations on an
infinite domain; therefore, one is interested in the solutions to such problems for a given …

Null infinity waveforms from extreme-mass-ratio inspirals in Kerr spacetime

A Zenginoğlu, G Khanna - Physical Review X, 2011 - APS
We describe the hyperboloidal compactification for Teukolsky equations in Kerr spacetime.
We include null infinity on the numerical grid by attaching a hyperboloidal layer to a compact …

Dynamical Lensing Tomography of Black Hole Ringdown

Z Zhong, V Cardoso, Y Chen - arXiv preprint arXiv:2408.10303, 2024 - arxiv.org
Strong gravitational lensing occurs when photons pass through the vicinity of a black hole.
We investigate this phenomenon in the context of a gravitational-wave event, specifically …

The electromagnetic Debye potentials reviewed: including sources and new solutions

D Kofroň - General Relativity and Gravitation, 2022 - Springer
We review the Debye potentials formalism for an electromagnetic test field on a fixed
vacuum type D background and extend it in two different directions.(a) We show how to …

Point particles and Appell's solutions on the axis of a Kerr black hole for an arbitrary spin in terms of the Debye potentials

D Kofroň - Physical Review D, 2020 - APS
The Teukolsky master equation—a fundamental equation for test fields of any spin, or
perturbations, in type D spacetimes—is classically treated in its separated form. Then the …

Gravitační perturbace v NP/GHP formalismu

M Pospíšil - 2023 - dspace.cuni.cz
Práce seznamuje čtenáře s tetrádovými přístupy v obecné teorii relativity (OTR), jmenovitě s
Newman-Penroseovým (NP) aa Geroch-Held-Penroseovým (GHP) for-malismem. Ty jsou …