Derives a provably stable 3D SBP scheme for linear waves on hyperboloidal slices using compactification, rescaling, and abstract dissipation in spherical polar coordinates.
Zenginoglu, Hyperboloidal foliations and scri-fixing.Class
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abstract
We discuss a gauge choice which allows us to avoid the introduction of artificial timelike outer boundaries in numerical studies of test fields based on a 3+1 decomposition of asymptotically flat background spacetimes. The main idea is to include null infinity in the computational domain by conformally compactifying the metric on hyperboloidal foliations and fixing the spatial coordinate location of null infinity, i.e. scri-fixing. We construct such coordinates explicitly on Minkowski, Schwarzschild and Kerr spacetimes.
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In an unstable Q-ball hairy black hole, the early growth of the weakly responding scalar component is dominated by a second-order QNM rather than its linear response.
Bilinear products for black hole quasinormal modes on hyperboloidal foliations are divergent due to CPT transformations but can be regularized to define orthogonal modes and excitation coefficients.
Kerr-Newman black holes in EMS theory with scalar potential scalarize for spins below a threshold set by charge, scalar mass, and coupling strength.
A review summarizing the state of the art in black hole quasinormal modes, ringdown waveform modeling, current LIGO-Virgo-KAGRA observations, and prospects for LISA and next-generation detectors.
citing papers explorer
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3d Summation-by-Parts scheme for Linear Wave Equations on Hyperboloidal Slices
Derives a provably stable 3D SBP scheme for linear waves on hyperboloidal slices using compactification, rescaling, and abstract dissipation in spherical polar coordinates.
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Early-Time Nonlinear Growth in an Unstable Q-Ball Hairy Black Hole
In an unstable Q-ball hairy black hole, the early growth of the weakly responding scalar component is dominated by a second-order QNM rather than its linear response.
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Bilinear products and the orthogonality of quasinormal modes on hyperboloidal foliations
Bilinear products for black hole quasinormal modes on hyperboloidal foliations are divergent due to CPT transformations but can be regularized to define orthogonal modes and excitation coefficients.
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Spin-charge induced scalarization of Kerr-Newman black holes in the Einstein-Maxwell-scalar theory with scalar potential
Kerr-Newman black holes in EMS theory with scalar potential scalarize for spins below a threshold set by charge, scalar mass, and coupling strength.
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Black hole spectroscopy: from theory to experiment
A review summarizing the state of the art in black hole quasinormal modes, ringdown waveform modeling, current LIGO-Virgo-KAGRA observations, and prospects for LISA and next-generation detectors.