Gravitational waves Part I ICTP, 18-22 June 2018 Literature Some - PowerPoint PPT Presentation

Stanislav (Stas) Babak. AstroParticule et Cosmologie, CNRS (Paris) Gravitational waves Part I ICTP, 18-22 June 2018

Literature Some figures in these lectures are borrowed from theses books LSC+Virgo, Phys. Rev. Lett. 116, 221101 (2016), LSC+Virgo, Phys. Rev. X 6, 041015 (2016), LSC+Virgo, Phys.Rev.Lett. 116 241102 (2016), LSC+Virgo, Phys.Rev. X6 041014 (2016), LSC+Virgo, Phys. Rev. Lett. 118, 221101 (2017), Berti et al., Class.Quantum Grav. 32, 243001 (2015), LSC+VIRGO, ArXiV: 1805.11579, S. Khan+, Phys.Rev. D93 (2016) 044007, LSC+Virgo arXiv: 1805.11579 , LIGO_Virgo, Astrophys.J. 848 (2017) L12, LIGO+Virgo Phys.Rev.Lett. 119 (2017) 161101, Babak+ Phys.Rev. D95 (2017) 103012, LISA consortium arXiv:1702.00786, Klein+ Phys.Rev. D93 (2016) 024003, LISA consortium, arXiv:1305.5720, Amaro-Seoane+ Class.Quant.Grav. 29 (2012) 124016 . � 2

Lecture 2 Binary system Modelling GW signal from binary black holes Detecting GW signals with ground based observatories � 3

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Yes, but it is defined as a quantity averaged over several (GW) wavelengths. = 1 T GW 16 h h + , α h + , β + h × , α h × , β i αβ ⌦ ... ... dE dt = − 1 ↵ Energy loss (energy flux): shrinking of binary orbit M ij M ij 5 ... dS j dt = − 2 D E ¨ M ki Angular momentum loss: circularization of a binary M li 5 ✏ jkl Levi-Civita antisymmetric symbol � 4