Talk detail

MG14 - Talk detail

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 Participant

Le Tiec, Alexandre

Institution

Observatoire de Paris  - 5 place Jules Janssen - Meudon - - France

Session

BN5

Accepted

Yes

Order

2

Time

14:55 25'

Talk

Oral abstract

Title

Orbital dynamics of eccentric compact binaries
Coauthors

Abstract

Eccentric inspirals with extreme mass ratios are promising sources for a future mHz-band gravitational-wave antenna in space, such as the proposed eLISA mission. Moreover, although most stellar-mass compact binaries would have completely circularized by the time they enter the observable frequency band of ground-based detectors, there are scenarios where eccentricity effects could become observable and give access to much interesting physics. In this talk, I will discuss a "first law of mechanics" for binary systems of compact objects moving along generic stable bound (eccentric) orbits. Together with gravitational self-force calculations of a certain orbital-averaged quantity that generalizes Detweiler's redshift invariant, this first law can be used to inform post-Newtonian theory and the effective one-body model for eccentric-orbit compact binaries.

Pdf file

 

Session

BN7

Accepted

Yes

Order

3

Time

15:30 30'

Talk

Oral abstract

Title

The overlap of numerical relativity, perturbation theory and post-Newtonian theory in the binary black hole problem
Coauthors

Abstract

Inspiraling and coalescing binary black holes are among the most promising sources of gravitational radiation to be detected by existing ground-based laser interferometers and future space-based antennas. The detection and analysis of the signals from these sources require very accurate theoretical predictions, for use as gravitational-wave templates to be compared to the output of the detectors. The orbital dynamics and gravitational-wave emission of such systems can be investigated using a variety of approximation schemes and numerical methods in General Relativity: the post-Newtonian formalism, black hole perturbation theory, numerical relativity simulations, and the effective-one-body model. I will review some recent work at the interfaces of these analytical and numerical techniques, emphasizing the use of coordinate-invariant relationships to perform meaningful comparisons. Some highlights include (i) the remarkable agreement between the predictions of the various methods, and (ii) the surprising observation that perturbation theory may turn out to be useful in the modelling of intermediate mass-ratio inspirals or even binaries with comparable masses.

Pdf file

 

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