scholarly journals Love in extrema ratio

2019 ◽  
Vol 28 (14) ◽  
pp. 1944001 ◽  
Author(s):  
Paolo Pani ◽  
Andrea Maselli

The tidal deformability of a self-gravitating object leaves an imprint on the gravitational-wave signal of an inspiral which is paramount to measure the internal structure of the binary components. We unveil here a surprisingly unnoticed effect: in the extreme mass-ratio limit the tidal Love number of the central object (i.e. the quadrupole moment induced by the tidal field of its companion) affects the gravitational waveform at the leading order in the mass ratio. This effect acts as a magnifying glass for the tidal deformability of supermassive objects but was so far neglected, probably because the tidal Love numbers of a black hole (the most natural candidate for a compact supermassive object) are identically zero. We argue that extreme mass-ratio inspirals detectable by the future laser interferometric space antenna (LISA) mission might place constraints on the tidal Love numbers of the central object which are roughly eight orders of magnitude more stringent than current ones on neutron stars, potentially probing all models of black hole mimickers proposed so far.

2007 ◽  
Vol 24 (12) ◽  
pp. S109-S123 ◽  
Author(s):  
Alessandro Nagar ◽  
Thibault Damour ◽  
Angelo Tartaglia

2001 ◽  
Vol 16 (08) ◽  
pp. 1471-1479 ◽  
Author(s):  
LIOR M. BURKO

We consider the radial, conservative self force for simple systems undergoing gravitational-radiation damping in the extreme mass ratio limit. We argue that the conservative force acting on a pointlike mass in orbit around a black hole may have a measurable effect on the wave forms, via an induced (retrograde) cumulative precession of the periastron. This effect is strongest for high values of the orbital eccentricity. We also show that the nonradiative modes of the field contribute to the total conservative force.


2018 ◽  
Vol 97 (4) ◽  
Author(s):  
Roberto Emparan ◽  
Marina Martínez ◽  
Miguel Zilhão
Keyword(s):  

Author(s):  
Jianwei Mei ◽  
Yan-Zheng Bai ◽  
Jiahui Bao ◽  
Enrico Barausse ◽  
Lin Cai ◽  
...  

Abstract TianQin is a planned space-based gravitational wave (GW) observatory consisting of three Earth-orbiting satellites with an orbital radius of about $10^5 \, {\rm km}$. The satellites will form an equilateral triangle constellation the plane of which is nearly perpendicular to the ecliptic plane. TianQin aims to detect GWs between $10^{-4} \, {\rm Hz}$ and $1 \, {\rm Hz}$ that can be generated by a wide variety of important astrophysical and cosmological sources, including the inspiral of Galactic ultra-compact binaries, the inspiral of stellar-mass black hole binaries, extreme mass ratio inspirals, the merger of massive black hole binaries, and possibly the energetic processes in the very early universe and exotic sources such as cosmic strings. In order to start science operations around 2035, a roadmap called the 0123 plan is being used to bring the key technologies of TianQin to maturity, supported by the construction of a series of research facilities on the ground. Two major projects of the 0123 plan are being carried out. In this process, the team has created a new-generation $17 \, {\rm cm}$ single-body hollow corner-cube retro-reflector which was launched with the QueQiao satellite on 21 May 2018; a new laser-ranging station equipped with a $1.2 \, {\rm m}$ telescope has been constructed and the station has successfully ranged to all five retro-reflectors on the Moon; and the TianQin-1 experimental satellite was launched on 20 December 2019—the first-round result shows that the satellite has exceeded all of its mission requirements.


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