Kahler geometry on the Kerr background directly causes the decoupling of Teukolsky equations for curvature scalars via parallel self-dual 2-forms.
Perturbations of a rotating black hole. 1. Fundamental equations for gravitational electro- magnetic and neutrino field perturbations
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DeepOPiraKAN learns parameter-to-spectrum mappings via operator learning and achieves relative errors of O(10^{-6}) to O(10^{-4}) for Kerr black hole quasinormal modes up to n=7 when benchmarked against Leaver's method.
Finite post-peak detector-frame windows for GW250114 yield a stable common-remnant Kerr interpretation after calibration on synthetic waveforms and robustness checks.
ANTIC reduces storage for large-scale PDE simulations by orders of magnitude through adaptive temporal snapshot selection combined with continual neural-field residual compression while preserving physics accuracy.
Proves threshold-sharp stability for the conformal scalar-curvature sector on Carter slabs and extends the framework to black hole exteriors like Kerr and Reissner-Nordström.
Lecture notes deriving gravitational wave physics from first principles in general relativity for PhD and advanced MSc students.
citing papers explorer
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Kahler decoupling for Kerr perturbations
Kahler geometry on the Kerr background directly causes the decoupling of Teukolsky equations for curvature scalars via parallel self-dual 2-forms.
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Physics informed operator learning of parameter dependent spectra
DeepOPiraKAN learns parameter-to-spectrum mappings via operator learning and achieves relative errors of O(10^{-6}) to O(10^{-4}) for Kerr black hole quasinormal modes up to n=7 when benchmarked against Leaver's method.
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Deterministic Trust Regions for Finite-Window Black-Hole Spectroscopy in GW250114
Finite post-peak detector-frame windows for GW250114 yield a stable common-remnant Kerr interpretation after calibration on synthetic waveforms and robustness checks.
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ANTIC: Adaptive Neural Temporal In-situ Compressor
ANTIC reduces storage for large-scale PDE simulations by orders of magnitude through adaptive temporal snapshot selection combined with continual neural-field residual compression while preserving physics accuracy.
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Threshold-Sharp Conformal Scalar Stability on Carter Slabs and Black Hole Exteriors
Proves threshold-sharp stability for the conformal scalar-curvature sector on Carter slabs and extends the framework to black hole exteriors like Kerr and Reissner-Nordström.
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The physics of gravitational waves
Lecture notes deriving gravitational wave physics from first principles in general relativity for PhD and advanced MSc students.