A5010000512- Black Holes and Theoretical Physics
- Astrophysical Phenomena and Observations
- Pulsars and Gravitational Waves Research
- Relativity and Gravitational Theory
- Cosmology and Gravitation Theories
- Quantum Chromodynamics and Particle Interactions
- Advanced X-ray Imaging Techniques
- Crystallography and Radiation Phenomena
- Radioactive Decay and Measurement Techniques
- Nonlinear Photonic Systems
- High-pressure geophysics and materials
- Scientific Measurement and Uncertainty Evaluation
- Particle accelerators and beam dynamics
- Nonlinear Waves and Solitons
Leipzig University
2020-2023
Max Planck Institute for Mathematics in the Sciences
2020-2021
We introduce a bilinear form for Weyl scalar perturbations of Kerr. The is symmetric and conserved, we show that, when combined with suitable renormalization prescription involving complex r integration contours, quasinormal modes are orthogonal in the different (l, m, n). These properties apparently not evident consequences standard radial angular solutions to decoupled Teukolsky relations rely on Petrov type D character Kerr its t-$\phi$ reflection isometry. that mode excitation...
Inspirals of stellar-mass objects into massive black holes will be important sources for the space-based gravitational-wave detector LISA. Modelling these systems requires calculating metric perturbation due to a point particle orbiting Kerr hole. Currently, linear is obtained with reconstruction procedure that puts it in "no-string" radiation gauge which singular on surface surrounding central Calculating dynamical quantities this involves subtle "gauge completion" as well cancellations...
We extend previous work [arXiv:1908.09095] to the case of Maxwell's equations with a source. Our shows how construct retarded vector potential for Maxwell field on Kerr-Newman background in radiation gauge. As our work, has "reconstructed" term obtained from Hertz solving Teukolsky's equation source, and "correction" which is obtainable by simple integration along outgoing principal null rays. The singularity structure discussed point particle
We construct retarded and advanced Green's functions for gravitational perturbations in Kerr an ingoing radiation gauge. Our have a frequency domain piece that has previously been obtained by Ori [Phys. Rev. D 67 (2003)] based on the Chrzanowski-Cohen-Kegeles metric reconstruction method. As is well known, this itself not sufficient to obtain actual function. show how complete it with method Green et al. [Class. Quant. Grav. 37 (2020)]. The completion completely explicit form time-domain...
Metric reconstruction is the general problem of parameterizing GR in terms its two ``true degrees freedom'', e.g., by a complex scalar ``potential'' -- practice mostly with aim simplifying Einstein equation (EE) within perturbative approaches. In this paper, we re-analyze metric procedure Green, Hollands, and Zimmerman (GHZ) [Class. Quant. Grav. \textbf{37}, 075001 (2020)], which generalization Chrzanowski-Cohen-Kegeles (CCK) approach. Contrary to CCK method, that GHZ applicable not only...
Abstract We construct retarded and advanced Green's functions for gravitational perturbations in Kerr an ingoing radiation gauge. Our have a frequency domain piece that has previously been obtained by Ori [Phys. Rev. D 67 (2003)] based on the Chrzanowski-Cohen-Kegeles metric reconstruction method. As is well known, this itself not sufficient to obtain actual function. show how complete it with method Green et al. [Class. Quant. Grav. 37 (2020)]. The completion completely explicit form...
Abstract Metric reconstruction is the general problem of parameterizing GR in terms its two “true degrees freedom” e.g., by a complex scalar “potential”—in practice mostly with aim simplifying Einstein equation (EE) within perturbative approaches. In this paper, we re-analyze metric procedure Green, Hollands, and Zimmerman (GHZ) [Class. Quant. Grav. 37, 075001 (2020)], which generalization Chrzanowski-Cohen-Kegeles (CCK) approach. Contrary to CCK method, that GHZ applicable not only vacuum,...
We introduce a bilinear form for Weyl scalar perturbations of Kerr. The is symmetric and conserved, we show that, when combined with suitable renormalization prescription involving complex r integration contours, quasinormal modes are orthogonal in the different (l, m, n). These properties apparently not evident consequences standard radial angular solutions to decoupled Teukolsky relations rely on Petrov type D character Kerr its t-$ϕ$ reflection isometry. that mode excitation coefficients...