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Directly comparing GW150914 with numerical solutions of Einstein’s equations for binary black hole coalescence

Abbott, B. P. and Abbott, R. and Adhikari, R. X. and Anderson, S. B. and Anderson, W. G. and Arai, K. and Araya, M. C. and Barayoga, J. C. and Barish, B. C. and Berger, B. K. and Billingsley, G. and Blackburn, J. K. and Bork, R. and Brooks, A. F. and Brunett, S. and Cahillane, C. and Callister, T. and Cepeda, C. B. and Couvares, P. and Coyne, D. C. and Dergachev, V. and Drever, R. W. P. and Ehrens, P. and Eichholz, J. and Etzel, T. and Gossan, S. E. and Gushwa, K. E. and Gustafson, E. K. and Hall, E. D. and Heptonstall, A. W. and Isi, M. and Kanner, J. B. and Kells, W. and Kondrashov, V. and Korth, W. Z. and Kozak, D. B. and Lazzarini, A. and Lewis, J. B. and Maros, E. and Marx, J. N. and McIntyre, G. and McIver, J. and Meshkov, S. and Pedraza, M. and Perreca, A. and Price , L. R. and Quintero, E. A. and Reitze, D. H. and Robertson, N. A. and Rollins, J. G. and Sachdev, S. and Sanchez, E. J. and Schmidt, P. and Singer, A. and Smith, N. D. and Smith, R. J. E. and Taylor, R. and Thirugnanasambandam, M. P. and Torrie, C. I. and Vajente, G. and Vass, S. and Wallace, L. and Weinstein, A. J. and Williams, R. D. and Wipf, C. C. and Yamamoto, H. and Zhang, L. and Zucker, M. E. and Zweizig, J. and Chen, Y. and Engels, W. and Thorne, K. S. and Hemberger, D. and Scheel, M. and Szilagyi, B. and Teukolsky, S. (2016) Directly comparing GW150914 with numerical solutions of Einstein’s equations for binary black hole coalescence. Physical Review D, 94 (6). Art. No. 064035. ISSN 2470-0010. https://resolver.caltech.edu/CaltechAUTHORS:20160929-105317375

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Abstract

We compare GW150914 directly to simulations of coalescing binary black holes in full general relativity, including several performed specifically to reproduce this event. Our calculations go beyond existing semianalytic models, because for all simulations—including sources with two independent, precessing spins—we perform comparisons which account for all the spin-weighted quadrupolar modes, and separately which account for all the quadrupolar and octopolar modes. Consistent with the posterior distributions reported by Abbott et al. [Phys. Rev. Lett. 116, 241102 (2016)] (at the 90% credible level), we find the data are compatible with a wide range of nonprecessing and precessing simulations. Follow-up simulations performed using previously estimated binary parameters most resemble the data, even when all quadrupolar and octopolar modes are included. Comparisons including only the quadrupolar modes constrain the total redshifted mass M_z ∈[64  M_⊙−82  M_⊙], mass ratio 1/q = m_2/m_1 ∈[0.6,1], and effective aligned spin χ_(eff) ∈[−0.3,0.2], where χ_(eff)=(S_1/m_1+S_2/m_2)⋅L/M. Including both quadrupolar and octopolar modes, we find the mass ratio is even more tightly constrained. Even accounting for precession, simulations with extreme mass ratios and effective spins are highly inconsistent with the data, at any mass. Several nonprecessing and precessing simulations with similar mass ratio and χ_(eff) are consistent with the data. Though correlated, the components’ spins (both in magnitude and directions) are not significantly constrained by the data: the data is consistent with simulations with component spin magnitudes ɑ_(1,2) up to at least 0.8, with random orientations. Further detailed follow-up calculations are needed to determine if the data contain a weak imprint from transverse (precessing) spins. For nonprecessing binaries, interpolating between simulations, we reconstruct a posterior distribution consistent with previous results. The final black hole’s redshifted mass is consistent with Mf,z in the range 64.0  M_⊙−73.5  M_⊙ and the final black hole’s dimensionless spin parameter is consistent with ɑ_f = 0.62–0.73. As our approach invokes no intermediate approximations to general relativity and can strongly reject binaries whose radiation is inconsistent with the data, our analysis provides a valuable complement to Abbott et al. [Phys. Rev. Lett. 116, 241102 (2016)].


Item Type:Article
Related URLs:
URLURL TypeDescription
http://dx.doi.org/10.1103/PhysRevD.94.064035DOIArticle
http://journals.aps.org/prd/abstract/10.1103/PhysRevD.94.064035PublisherArticle
http://arxiv.org/abs/1606.01262arXivDiscussion Paper
ORCID:
AuthorORCID
Adhikari, R. X.0000-0002-5731-5076
Arai, K.0000-0001-8916-8915
Billingsley, G.0000-0002-4141-2744
Callister, T.0000-0001-9892-177X
Isi, M.0000-0001-8830-8672
Kanner, J. B.0000-0001-8115-0577
Korth, W. Z.0000-0003-3527-1348
Kozak, D. B.0000-0003-3118-8950
Weinstein, A. J.0000-0002-0928-6784
Williams, R. D.0000-0002-9145-8580
Zucker, M. E.0000-0002-2544-1596
Zweizig, J.0000-0002-1521-3397
Teukolsky, S.0000-0001-9765-4526
Additional Information:© 2016 American Physical Society. Received 10 June 2016; published 14 September 2016. The authors gratefully acknowledge helpful feedback from an anonymous referee. The authors gratefully acknowledge the support of the United States National Science Foundation (NSF) for the construction and operation of the LIGO Laboratory and Advanced LIGO as well as the Science and Technology Facilities Council (STFC) of the United Kingdom, the Max-Planck-Society (MPS), and the State of Niedersachsen/Germany for support of the construction of Advanced LIGO and construction and operation of the GEO600 detector. Additional support for Advanced LIGO was provided by the Australian Research Council. The authors gratefully acknowledge the Italian Istituto Nazionale di Fisica Nucleare (INFN), the French Centre National de la Recherche Scientifique (CNRS) and the Foundation for Fundamental Research on Matter supported by the Netherlands Organisation for Scientific Research, for the construction and operation of the Virgo detector and the creation and support of the EGO consortium. The authors also gratefully acknowledge research support from these agencies as well as by the Council of Scientific and Industrial Research of India, Department of Science and Technology, India, Science & Engineering Research Board (SERB), India, Ministry of Human Resource Development, India, the Spanish Ministerio de Economía y Competitividad, the Conselleria d’Economia i Competitivitat and Conselleria d’Educació, Cultura i Universitats of the Govern de les Illes Balears, the National Science Centre of Poland, the European Commission, the Royal Society, the Scottish Funding Council, the Scottish Universities Physics Alliance, the Hungarian Scientific Research Fund (OTKA), the Lyon Institute of Origins (LIO), the National Research Foundation of Korea, Industry Canada and the Province of Ontario through the Ministry of Economic Development and Innovation, the National Science and Engineering Research Council Canada, the Brazilian Ministry of Science, Technology, and Innovation, the Leverhulme Trust, the Research Corporation, Ministry of Science and Technology (MOST), Taiwan and the Kavli Foundation. The authors gratefully acknowledge the support of the NSF, STFC, MPS, INFN, CNRS, and the State of Niedersachsen/Germany for provision of computational resources. The SXS Collaboration also gratefully acknowledges Compute Canada, the Research Corporation, and California State University Fullerton for computational resources, as well as the support of the National Science Foundation, the Research Corporation for Science Advancement,and the Sherman Fairchild Foundation. The RIT team gratefully acknowledges the NSF for financial support, as well as Blue Waters and XSEDE for computational resources. This paper has been assigned the document number LIGO-P1500263.
Group:LIGO, TAPIR
Funders:
Funding AgencyGrant Number
NSFUNSPECIFIED
Science and Technology Facilities Council (STFC)UNSPECIFIED
Max-Planck-SocietyUNSPECIFIED
State of Niedersachsen/GermanyUNSPECIFIED
Australian Research CouncilUNSPECIFIED
Istituto Nazionale di Fisica Nucleare (INFN)UNSPECIFIED
Centre National de la Recherche Scientifique (CNRS)UNSPECIFIED
Stichting voor Fundamenteel Onderzoek der Materie (FOM)UNSPECIFIED
Council of Scientific and Industrial Research (India)UNSPECIFIED
Department of Science and Technology (India)UNSPECIFIED
Science and Engineering Research Board (SERB)UNSPECIFIED
Ministry of Human Resource Development (India)UNSPECIFIED
Ministerio de Economía y Competitividad (MINECO)UNSPECIFIED
Conselleria d’Economia i Competitivitat and Conselleria d’EducacióUNSPECIFIED
Cultura i Universitats of the Govern de les Illes BalearsUNSPECIFIED
National Science Centre (Poland)UNSPECIFIED
European CommissionUNSPECIFIED
Royal SocietyUNSPECIFIED
Scottish Funding CouncilUNSPECIFIED
Scottish Universities Physics AllianceUNSPECIFIED
Hungarian Scientific Research Fund (OTKA)UNSPECIFIED
Lyon Institute of Origins (LIO)UNSPECIFIED
National Research Foundation of KoreaUNSPECIFIED
Industry CanadaUNSPECIFIED
Natural Sciences and Engineering Research Council of Canada (NSERC)UNSPECIFIED
Ministério da Ciência, Tecnologia e InovaçãoUNSPECIFIED
Leverhulme TrustUNSPECIFIED
Research CorporationUNSPECIFIED
Ministry of Science and Technology (Taipei)UNSPECIFIED
Kavli FoundationUNSPECIFIED
NSFUNSPECIFIED
Ontario Ministry of Economic Development and InnovationUNSPECIFIED
Other Numbering System:
Other Numbering System NameOther Numbering System ID
LIGO DocumentP1500263
Issue or Number:6
Record Number:CaltechAUTHORS:20160929-105317375
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20160929-105317375
Official Citation:Directly comparing GW150914 with numerical solutions of Einstein’s equations for binary black hole coalescence B. P. Abbott et al. (LIGO Scientific Collaboration and Virgo Collaboration) Phys. Rev. D 94, 064035 (2016)
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:70660
Collection:CaltechAUTHORS
Deposited By: Ruth Sustaita
Deposited On:29 Sep 2016 20:29
Last Modified:22 Nov 2019 09:58

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