A Time Domain Waveform for Testing General Relativity

10th International LISA Symposium

Huwyler, Cédric^1 ; Porter, Edward K.^2 ; Jetzer, Philippe^1

Physik-Institut, Universität Zürich, Winterthurerstrasse 190, Zürich

8057, Switzerland^1

François Arago Centre, APC, Sorbonne Paris Cité, 10 rue A. Domon et L. Duquet, Paris Cedex 13

75205, France^2

关键词: Fast Fourier transform algorithm;    Markov Chain Monte-Carlo;    Stationary-phase approximation;    Supermassive black holes;    Time and frequency domains;    Time-domain waveforms;    Wave parameter estimation;    Waveform generation;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/610/1/012046/pdf
DOI  :  10.1088/1742-6596/610/1/012046

来源: IOP

【 摘 要 】

Gravitational-wave parameter estimation is only as good as the theory the waveform generation models are based upon. It is therefore crucial to test General Relativity (GR) once data becomes available. Many previous works, such as studies connected with the ppE framework by Yunes and Pretorius, rely on the stationary phase approximation (SPA) to model deviations from GR in the frequency domain. As Fast Fourier Transform algorithms have become considerably faster and in order to circumvent possible problems with the SPA, we test GR with corrected time domain waveforms instead of SPA waveforms. Since a considerable amount of work has been done already in the field using SPA waveforms, we establish a connection between leading-order-corrected waveforms in time and frequency domain, concentrating on phase-only corrected terms. In a Markov Chain Monte Carlo study, whose results are preliminary and will only be available later, we will assess the ability of the eLISA detector to measure deviations from GR for signals coming from supermassive black hole inspirals using these corrected waveforms.