EMRI waveform status the mathGR side Excellent overview

EMRI waveform status: the math/GR side Excellent overview by Scott Hughes; Poisson-Pound-Vega Living Review: 1102. 0529 http: //www. physik. uzh. ch/events/lisa 2016/uploads/031/lisa 2016_sahughes. pdf Dissipative: radiates E, J Conservative: shift from geodesic motion Self force: Schwarzschild: ok ? Kerr: WIP Resonances: Flanagan-Hinderer [1009. 4923]; then e. g. 1307. 6483, 1608. 08951 Second-order self force: Detweiler [1107. 2098]; Pound, e. g. 1510. 05172 Spin of small body? Important if e is not so small Ok

EMRI rates, MLDC: a reality check – change the ISCO… Example [1703. 09722]: horizon redshift for prograde equatorial orbit, a/M=0. 99, r=20 GW 150914: larger z (Hughes: 0. 5 -1) 1) AK: Barack-Cutler [gr-qc/0310125] AKS(=AK): Schwarzschild ISCO AKK: Kerr ISCO (PN loses accuracy) 2) NK: Babak+ [gr-qc/0607007] 5 -15 times slower PN fit to Teukolsky flux, Boyer-Lindquist=flat-space coords 3) AAK: Chua-Moore-Gair [1705. 04259] Code in github. Well suited for MLDCs, maybe even semicoherent LISA searches? Dephasing: AK/NK in 104 s (hours), AAK/NK in 106 s (2 months): N=100 data segments Inclined/eccentric orbits: ISCO depends on inclination and spin Correction factor W(a/M, cosi) from 1205. 4713, but see Will & Maitra [1611. 06931] Testing GR: floating orbits – completely missed? 1109. 6021, 1612. 00978 (eccentric) Astrophysics: MBH mass function, cusp erosion, direct plunges vs. EMRIs…