Data Lake

Documentations:

Post-Newtonian results:

Fluxes

  1. Extreme mass ratio inspirals on the equatorial plane in the adiabatic order
    Phys. Rev. D 102, 064005 (2020), arXiv:2008.13554
    5PN O(e^{10}) (but arbitrary inclination) generic fluxes in Kerr (last updated 26 August 2020):Maple data, Mathematica data

  2. Calculation of radiation reaction effect on orbital parameters in Kerr spacetime
    Prog. Theor. Exp. Phys. 2015, 073E03 (2015) , arXiv:1505.01600
    4PN O(e^{6}) (but arbitrary inclination) generic fluxes in Kerr (last updated 21 August 2020): Maple data, Mathematica data

  3. Gravitational waves from a particle in circular orbits around a rotating black hole to the 11th post-Newtonian order
    Prog. Theor. Exp. Phys. 2015, Issue 3, 033E01 (2015), arXiv:1412.5689
    11PN equatorial-circular fluxes in Kerr (last updated 11 March 2015): Maple data, Mathematica data

  4. Gravitational Waves from a Particle in Circular Orbits around a Schwarzschild Black Hole to the 22nd Post-Newtonian Order
    Prog.Theor.Phys.128, 971-992 (2012), arXiv:1211.5535
    22PN circular fluxes in Schwarzschild (last updated 19 Nov 2012): Maple data, Mathematica data


Teukolsky data (Spheroidal harmonics, mode amplitudes etc)

NOTE: the asymptotic mode amplitude "Zlm" in the case of circular and equatorial orbits can be also reconstructed from `rho[l, m]' and `delta[l, m]' of (so named) PN factorized multipolar waveforms. They are presented through 22PN (Schwarzschild) and 11PN (Kerr) order in above maple/mathematica files for fluxes. See README therein for details, and Sec.4.2.1. and 4.2.2. of Fujita's 11PN paper [arXiv:1412.5689] for our BHPC convention.

  1. Adiabatic waveforms from extreme-mass-ratio inspirals: an analytical approach
    Phys. Rev. Lett 128 (2021) 23, 231101, arXiv:2111.05288
    (a omega)^3 Spheroidal harmonics (s = -2), and 5PN O(e^{10}) (but arbitrary inclination) generic mode amplitudes in Kerr (last updated 09 Nov 2021): Maple data, Mathematica data (18MB).

Numerical results:

Fluxes

  1. Extreme mass ratio inspirals on the equatorial plane in the adiabatic order
    Phys. Rev. D 102, 064005 (2020), arXiv:2008.13554
    Equatorial fluxes in Kerr (last updated 31 August 2020): Numerical data (17MB)

Teukolsky data (Spheroidal harmonics, mode amplitudes etc)

Coming soon!

Fitting formulas:

The averaged rate of change of the orbital angular momentum and Carter constant due to tidal resonances

  1. Importance of tidal resonances in extreme-mass-ratio inspirals
    Phys.Rev.D 104, 044056 (2021), arXiv:2104.03422
    For (n : k : m) = (3 :
    0 : -2), (3 : -4 : 2), (3 : 0 : 2) and (3 : -4 : -2) (last updated 26 July 2021): Fittings Tidal Resonances.wl (Mathematica)

  2. Modeling transient resonances in extreme-mass-ratio inspirals
    Phys.Rev.D 106 (2022) 10, 104001 arXiv:2205.04808
    For (n : k : m) = (-3 : 1 : 1), (-3 : 2 : 0), (-3 : 3 : -1), (-4 : 1 : 1), (-4 : 2 : 0) and (-4 : 3 : -1) (last updated 14 August 2022): Fittings_Tidal Resonances-m01.wl (Mathematica)