Abstract.
The discovery of the astrophysical events GW150926 and GW151226 has experimentally confirmed the existence of gravitational waves (GW) and has demonstrated the existence of binary stellar-mass black hole systems. This finding marks the beginning of a new era that will reveal unexpected features of our universe. This work presents a basic insight to the fundamental theory of GW emitted by inspiral binary systems and describes the scientific and technological efforts developed to measure these waves using the interferometer-based detector called LIGO. Subsequently, the work presents a comprehensive data analysis methodology based on the matched filter algorithm, which aims to recovery GW signals emitted by inspiral binary systems of astrophysical sources. This algorithm was evaluated with freely available LIGO data containing injected GW waveforms. Results of the experiments performed to assess detection accuracy showed the recovery of 85% of the injected GW.
Similar content being viewed by others
References
M. Holst, O. Sarbach, M. Tiglio, M. Vallisneri, Bull. Am. Math. Soc. 53, 513 (2016)
M.C. Miller, Gen. Relativ. Gravit. 48, 95 (2016)
A. Einstein, Preuss. Akad. Wiss. Berlin, Sitzungsber. 1915, 778 (1915)
A. Einstein, Preuss. Akad. Wiss. Berlin, Sitzungsber. 1915, 844 (1915)
R. Hulse, J. Taylor, Astrophys. J. 195, L51 (1975)
J. Taylor, J. Weisber, arXiv:astro-ph/0407149
J. Taylor, J. Weisberg, Astrophys. J. 253, 908 (1982)
T. Damour, J. Taylor, Phys. Rev. D 45, 1840 (1992)
J. Weber, Phys. Rev. 117, 336 (1960)
J. Weber, General Relativity and Gravitational Waves (Wiley Interscience, United States, 1961)
B.P. Abbott et al., Rep. Prog. Phys. 72, 076901 (2009)
T. Accadia et al., J. Instrum. 7, P03012 (2012)
C. Affeldt et al., Class. Quantum Grav. 31, 224002 (2014)
The LIGO Scientific Collaboration (J. Aasi et al.), Class. Quantum Grav. 32, 074001 (2015)
B.P. Abbott et al., Phys. Rev. Lett. 116, 061102 (2016)
B.P. Abbott et al., Phys. Rev. Lett. 116, 241103 (2016)
B. Allen, W.G. Anderson, P.R. Brady, D.A. Brown, J.D.E. Creighton, Phys. Rev. D 85, 122006 (2012)
C.W. Misner, K.S. Thorne, J.A. Wheeler, Gravitation (Academic Press, San Francisco, 1973)
S.M. Carroll, Spacetime and Geometry: An Introduction to General Relativity (Addison Wesley, San Francisco, 2004)
S.L. Shapiro, S.A. Teukolsky, Black Holes, White Dwarfs, and Neutron Star: The Physics of Compact Objects (Wiley-Interscience, United States, 1983)
D. Kodwani, arXiv:1605.05399 (2016)
S.E. Gossan et al., Phys. Rev. D 93, 042002 (2016)
A. Liddle, An Introduction to Modern Cosmology (Wiley, United States, 2015)
K.S. Thorne, in Snowmass'94 Summer Study on Particle and Nuclear Astrophysics and Cosmology, edited by E.W. Kolb, R. Peccei (World Scientific, Singapore, 1995) pp. 160--184
M. Hannam, Gen. Relativ. Gravit. 46, 1767 (2014)
L. Blanchet, T. Damour, B.R. Iyer, C.M. Will, A.G. Wiseman, Phys. Rev. Lett. 74, 3515 (1995)
B. Aylott et al., Class. Quantum Grav. 26, 165008 (2009)
J.D.E. Creighton, Phys. Rev. D 60, 022001 (1999)
M. Maggiore, Gravitational Waves, Vol. 1, Theory and Experiments (Oxford University Press, 2007)
B.S. Sathyaprakash, B.F. Schutz, Living Rev. Relativ. 12, 2 (2009)
E. Poisson, C. Will, Gravity: Newtonian, Post-Newtonian, Relativistic (Cambridge University Press, 2014)
L. Blanchet, B.R. Iyer, C.M. Will, A.G. Wiseman, Class. Quantum Grav. 13, 575 (1996)
M. Evans, Gen. Relativ. Gravit. 46, 1778 (2014)
P.R. Saulson, Fundamental of Interferometric Gravitational Wave Detectors (World Scientific, New York, 1994)
R. Forward, Gen. Relativ. Gravit. 2, 149 (1971)
R. Forward, Phys. Rev. D 17, 379 (1978)
R. Weiss, Quart. Prog. Rep. Res. Lab. Electron. MIT 105, 54 (1972)
R.W.P. Drever, Optical cavity laser interferometers for gravitational waves detection, in Laser Spectroscopy, Vol. V (Springer, 1981) pp. 33--40
Rochus E. Vogt, Proposal to the National Science Foundation: A Laser Interferometer Gravitational-wave Observatory (LIGO) (1989) https://dcc.ligo.org/public/0065/M890001/003/M890001-03%20edited.pdf
The LIGO Scientific Collaboration (G.M. Harry et al.), Class. Quantum Grav. 27, 084006 (2010)
B.F. Schutz, Class. Quantum Grav. 28, 125023 (2011)
K. Cannon, C. Hanna, D. Keppel, Phys. Rev. D 88, 024025 (2013)
B.P. Abbot et al., Living Rev. Relativ. 19, 1 (2016)
B.P. Abbott et al., Class. Quantum Grav. 33, 134001 (2016)
S. Droz, D.J. Knapp, E. Poisson, B.J. Owen, Phys. Rev. D 59, 124016 (1999)
S.M. Kay, Fundamentals of Statistical Signal Processing, Vol. 2, Detection Theory (Prentice-Hall Inc., New Jersey, 1993)
C.W. Helstrom, in Statistical Theory of Signal Detection, edited by C.W. Helstrom, second edition, International Series of Monographs in Electronics and Instrumentation (Pergamon, 1968) pp. 102--147
B. Allen, Phys. Rev. D 71, 062001 (2005)
S. Babak, R. Balasubramanian, D. Churches, T. Cokelaer, B.S. Sathyaprakash, Class. Quantum Grav. 23, 5477 (2006)
T. Cokelaer, Class. Quantum Grav. 24, 6227 (2007)
D.A. Brown, Searching for gravitational radiation from binary black hole MACHOs in the galactic halo, PhD Thesis, Wisconsin University, Milwaukee (2004)
S. Babak et al., Phys. Rev. D 87, 024033 (2013)
S.A. Usman et al., Class. Quantum Grav. 33, 215004 (2016)
T. Dal Canton et al., Phys. Rev. D 90, 082004 (2014)
M. Vallisneri, J. Kanner, R. Williams, A. Weinstein, B. Stephens, J. Phys.: Conf. Ser. 610, 012021 (2015)
J. Abadie et al., Phys. Rev. D 82, 102001 (2010)
J. Abadie et al., Nucl. Instrum. Methods Phys. Res. A 624, 223 (2010)
The LIGO Scientific Collaboration (S.J. Waldman et al.), Class. Quantum Grav. 23, S653 (2006)
The LIGO Scientific Collaboration, The S5 Data Release (2014) DOI:10.7935/K5WD3XHR
B.P. Abbott et al., Phys. Rev. D 79, 122001 (2009)
B.P. Abbott et al., Phys. Rev. D 80, 047101 (2009)
J. Abadie et al., Phys. Rev. D 83, 122005 (2011)
P.D. Welch, IEEE Trans. Audio Electroacoust. 15, 70 (1967)
S. Rowan, J. Hough, Living Rev. Relativ. 3, 3 (2000)
Author information
Authors and Affiliations
Corresponding author
Additional information
An erratum to this article is available at http://dx.doi.org/10.1140/epjp/i2017-11396-9.
Rights and permissions
About this article
Cite this article
Antelis, J.M., Moreno, C. Obtaining gravitational waves from inspiral binary systems using LIGO data. Eur. Phys. J. Plus 132, 10 (2017). https://doi.org/10.1140/epjp/i2017-11283-5
Received:
Accepted:
Published:
DOI: https://doi.org/10.1140/epjp/i2017-11283-5