CaltechAUTHORS
  A Caltech Library Service

Measuring violations of General Relativity from single gravitational wave detection by non-spinning binary systems: higher-order asymptotic analysis

Tso, Rhondale and Zanolin, Michele (2015) Measuring violations of General Relativity from single gravitational wave detection by non-spinning binary systems: higher-order asymptotic analysis. . (Submitted) http://resolver.caltech.edu/CaltechAUTHORS:20151215-112032944

[img] PDF - Submitted Version
See Usage Policy.

5Mb

Use this Persistent URL to link to this item: http://resolver.caltech.edu/CaltechAUTHORS:20151215-112032944

Abstract

A frequentist asymptotic expansion method for error estimation is employed for a network of gravitational wave detectors to assess the capability of gravitational wave observations, with Adv. LIGO and Adv. Virgo, to distinguish between the post-Einsteinian (ppE) description of coalescing binary systems and that of GR. When such errors are smaller than the parameter value, there is possibility to detect these violations from GR. A parameter space with inclusion of dominant dephasing ppE parameters is used for a study of first- and second-order (co)variance expansions, focusing on the inspiral stage of a nonspinning binary system of zero eccentricity detectible through Adv. LIGO and Adv. Virgo. Our procedure is more reliable than frequentist studies based only on Fisher information estimates and complements Bayesian studies. Second-order asymptotics indicate the possibility of constraining deviations from GR in low-SNR (ρ ~ 15 - 17) regimes. The errors on β also increase errors of other parameters such as the chirp mass M and symmetric mass ratio η. Application is done to existing alternative theories of gravity, which include modified dispersion relation of the waveform, non-spinning models of quadratic modified gravity, and dipole gravitational radiation (i.e., Brans-Dicke type) modifications.


Item Type:Report or Paper (Discussion Paper)
Related URLs:
URLURL TypeDescription
http://arxiv.org/abs/1509.02248arXivDiscussion Paper
Additional Information:Submitted on 8 Sep 2015. The authors would like to thank S. Vitale, T.G.F. Li, A.J.Weinstein, and W.D.Pozzo for useful discussion and comments. R. Tso is supported by the National Science Foundation Graduate Research Fellowship Program under Grant No. DGE-1144469, the Ford Foundation Pre-doctoral Fellowship, and the Gates Graduate Fellowship.
Funders:
Funding AgencyGrant Number
NSF Graduate Research FellowshipDGE-1144469
Ford FoundationUNSPECIFIED
Gates Graduate FellowshipUNSPECIFIED
Record Number:CaltechAUTHORS:20151215-112032944
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20151215-112032944
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:62941
Collection:CaltechAUTHORS
Deposited By: Ruth Sustaita
Deposited On:15 Dec 2015 19:41
Last Modified:15 Dec 2015 19:41

Repository Staff Only: item control page