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Measuring violations of general relativity from single gravitational wave detection by nonspinning binary systems: Higher-order asymptotic analysis

Tso, Rhondale and Zanolin, Michele (2016) Measuring violations of general relativity from single gravitational wave detection by nonspinning binary systems: Higher-order asymptotic analysis. Physical Review D, 93 (12). Art. No. 124033. ISSN 2470-0010. http://resolver.caltech.edu/CaltechAUTHORS:20160613-103016598

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Abstract

A frequentist asymptotic expansion method for error estimation is employed for a network of gravitational wave detectors to assess the amount of information that can be extracted from gravitational wave observations. Mathematically we derive lower bounds in the errors that any parameter estimator will have in the absence of prior knowledge to distinguish between the post-Einsteinian (ppE) description of coalescing binary systems and that of general relativity. When such errors are smaller than the parameter value, there is a possibility to detect these violations from general relativity (GR). A parameter space with inclusion of dominant dephasing ppE parameters (β,b) 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 Advanced LIGO and Advanced Virgo. Our procedure is an improvement of the Cramér-Rao lower bound. When Bayesian errors are lower than our bound it means that they depend critically on the priors. The analysis indicates the possibility of constraining deviations from GR in inspiral signal-to-noise ratio (SNR) (ρ∼15–17) regimes that are achievable in upcoming scientific runs (GW150914 had an inspiral SNR∼12). 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; nonspinning models of quadratic modified gravity; and dipole gravitational radiation (i.e., Brans-Dicke-type) modifications.


Item Type:Article
Related URLs:
URLURL TypeDescription
http://dx.doi.org/10.1103/PhysRevD.93.124033DOIArticle
http://journals.aps.org/prd/abstract/10.1103/PhysRevD.93.124033PublisherArticle
Additional Information:© 2016 American Physical Society. (Received 9 September 2015; published 13 June 2016) The authors would like to thank S. Vitale, T. G. F. Li, A. J. Weinstein, W. D. Pozzo, L. Stein, and K. Yagi 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 Predoctoral Fellowship, and the Gates Foundation.
Group:LIGO
Funders:
Funding AgencyGrant Number
NSF Graduate Research FellowshipDGE-1144469
Ford FoundationUNSPECIFIED
Bill and Melinda Gates FoundationUNSPECIFIED
Record Number:CaltechAUTHORS:20160613-103016598
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20160613-103016598
Official Citation:Measuring violations of general relativity from single gravitational wave detection by nonspinning binary systems: Higher-order asymptotic analysis Rhondale Tso and Michele Zanolin Phys. Rev. D 93, 124033
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:67868
Collection:CaltechAUTHORS
Deposited By: George Porter
Deposited On:13 Jun 2016 18:01
Last Modified:13 Jun 2016 18:01

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