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Accurate time-domain gravitational waveforms for extreme-mass-ratio binaries

This study by Lior Burko and Gaurav Khanna compares accurate time-domain gravitational waveforms for extreme-mass-ratio binaries in Schwarzschild and Kerr spacetimes. Analyzing circular equatorial orbits, errors in energy fluxes, wave extraction methods, and grid densities are detailed, along with investigations into elliptical and parabolic orbits in Kerr spacetime. Results include the total energy flux, dominant waveform modes, characteristic strain in gravitational waves, and implications for black holes.

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Accurate time-domain gravitational waveforms for extreme-mass-ratio binaries

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  1. Accurate time-domain gravitational waveforms for extreme-mass-ratio binaries Lior Burko, UAH (work w/ Gaurav Khanna, UMassD) MWRM-16

  2. Comparison of GW total energy fluxes Circular equatorial orbit in Schwarzschild at 18M; Wave extraction done at 500M. Circular equatorial orbit in Kerr (a/M=0.9) at ; Wave extraction at 500M.

  3. The relative error in the energy flux in gravitational waves • Particle in circular and equatorial orbit in Kerr (a/m=0.5) • Grid density is 0.025M (radial) x 0.05 (angular) • Particle is modeled with a gaussian Upper panel (A): As a function of the distance at which wave extraction is done. The errors are calculated with a value corresponding to wave extraction at infinity, that we obtain using Richardson's extrapolations. Here, N=5. Lower panel (B): As a function of the number of points used to sample the Gaussian N. The errors are calculated with the FD value. Wave extraction is done at 500M.

  4. Zoom - Whirl orbits elliptical p=5M e=0.5 parabolic p=5.828M e=1 Kerr equatorial orbits with a/M=0.5

  5. Elliptical orbit Waveforms Upper panel (A): The dominant mode (m=2) Lower panel (B): The mode m=3 Total energy flux

  6. Parabolic orbit Dominant mode (m=2) m=3

  7. Parabolic orbit Characteristic strain in GW 1 - 10^6 solar masses BHs Central BH has a/M=0.5 Distance 1 Gpc Standard LISA noise curve with SNR=1 Total energy flux

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