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Can gravitational-wave memory help constrain binary black-hole parameters? A LISA case study

Published 30 Jan 2023 in gr-qc and astro-ph.HE | (2301.13228v2)

Abstract: Besides the transient effect, the passage of a gravitational wave also causes a persistent displacement in the relative position of an interferometer's test masses through the \emph{nonlinear memory effect}. This effect is generated by the gravitational backreaction of the waves themselves, and encodes additional information about the source. In this work, we explore the implications of using this information for the parameter estimation of massive binary black holes with LISA. Based on a Fisher analysis for nonprecessing black hole binaries, our results show that the memory can help to reduce the degeneracy between the luminosity distance and the inclination for binaries observed only for a short time ($\sim$~few hours) before merger. To assess how many such short signals will be detected, we utilized state-of-the-art predictions for the population of massive black hole binaries and models for the gaps expected in the LISA data. We forecast from tens to few hundreds of binaries with observable memory, but only~$\sim \mathcal{O}(0.1)$ events in 4 years for which the memory helps to reduce the degeneracy between distance and inclination. Based on this, we conclude that the new information from the nonlinear memory, while promising for testing general relativity in the strong field regime, has probably a limited impact on further constraining the uncertainty on massive black hole binary parameters with LISA.

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References (85)
  1. A. Einstein, Näherungsweise Integration der Feldgleichungen der Gravitation, Sitzber. Preuss. Akad. Wiss. , 688 (1916).
  2. B. P. Abbott et al. (LIGO Scientific, Virgo), Tests of General Relativity with the Binary Black Hole Signals from the LIGO-Virgo Catalog GWTC-1, Phys. Rev. D 100, 104036 (2019a), arXiv:1903.04467 [gr-qc] .
  3. R. Abbott et al. (LIGO Scientific, Virgo), Tests of general relativity with binary black holes from the second LIGO-Virgo gravitational-wave transient catalog, Phys. Rev. D 103, 122002 (2021a), arXiv:2010.14529 [gr-qc] .
  4. B. P. Abbott et al. (LIGO Scientific, Virgo), GWTC-1: A Gravitational-Wave Transient Catalog of Compact Binary Mergers Observed by LIGO and Virgo during the First and Second Observing Runs, Phys. Rev. X 9, 031040 (2019b), arXiv:1811.12907 [astro-ph.HE] .
  5. R. Abbott et al. (LIGO Scientific, Virgo), GWTC-2: Compact Binary Coalescences Observed by LIGO and Virgo During the First Half of the Third Observing Run, Phys. Rev. X 11, 021053 (2021c), arXiv:2010.14527 [gr-qc] .
  6. E. Berti et al., Testing General Relativity with Present and Future Astrophysical Observations, Class. Quant. Grav. 32, 243001 (2015), arXiv:1501.07274 [gr-qc] .
  7. L. Barack et al., Black holes, gravitational waves and fundamental physics: a roadmap, Class. Quant. Grav. 36, 143001 (2019), arXiv:1806.05195 [gr-qc] .
  8. E. Barausse et al., Prospects for Fundamental Physics with LISA, Gen. Rel. Grav. 52, 81 (2020a), arXiv:2001.09793 [gr-qc] .
  9. P. Amaro-Seoane et al., Laser Interferometer Space Antenna, arXiv e-prints  (2017), arXiv:1702.00786 [astro-ph.IM] .
  10. P. A. Seoane et al. (eLISA), The Gravitational Universe, arXiv e-prints  (2013), arXiv:1305.5720 [astro-ph.CO] .
  11. V. Baibhav et al., Probing the nature of black holes: Deep in the mHz gravitational-wave sky, Exper. Astron. 51, 1385 (2021), arXiv:1908.11390 [astro-ph.HE] .
  12. K. G. Arun et al. (LISA), New horizons for fundamental physics with LISA, Living Rev. Rel. 25, 4 (2022), arXiv:2205.01597 [gr-qc] .
  13. C. Cutler and E. E. Flanagan, Gravitational waves from merging compact binaries: How accurately can one extract the binary’s parameters from the inspiral wave form?, Phys. Rev. D 49, 2658 (1994), arXiv:gr-qc/9402014 .
  14. S. A. Usman, J. C. Mills, and S. Fairhurst, Constraining the Inclinations of Binary Mergers from Gravitational-wave Observations, Astrophys. J. 877, 82 (2019), arXiv:1809.10727 [gr-qc] .
  15. B. F. Schutz, Determining the Hubble Constant from Gravitational Wave Observations, Nature 323, 310 (1986).
  16. D. E. Holz and S. A. Hughes, Using gravitational-wave standard sirens, Astrophys. J. 629, 15 (2005), arXiv:astro-ph/0504616 .
  17. H.-Y. Chen, S. Vitale, and R. Narayan, Viewing angle of binary neutron star mergers, Phys. Rev. X 9, 031028 (2019), arXiv:1807.05226 [astro-ph.HE] .
  18. R. N. Lang, S. A. Hughes, and N. J. Cornish, Measuring parameters of massive black hole binaries with partially aligned spins, Phys. Rev. D 84, 022002 (2011), arXiv:1101.3591 [gr-qc] .
  19. E. K. Porter and N. J. Cornish, The Effect of Higher Harmonic Corrections on the Detection of massive black hole binaries with LISA, Phys. Rev. D 78, 064005 (2008), arXiv:0804.0332 [gr-qc] .
  20. M. Trias and A. M. Sintes, LISA observations of supermassive black holes: Parameter estimation using full post-Newtonian inspiral waveforms, Phys. Rev. D 77, 024030 (2008), arXiv:0707.4434 [gr-qc] .
  21. A. Klein, P. Jetzer, and M. Sereno, Parameter estimation for coalescing massive binary black holes with LISA using the full 2PN gravitational waveform and spin-orbit precession, Phys. Rev. D 80, 064027 (2009), arXiv:0907.3318 [astro-ph.CO] .
  22. T. Yang, R.-G. Cai, and H. M. Lee, Space-borne atom interferometric gravitational wave detections. Part III. Eccentricity on dark sirens, JCAP 10, 061, arXiv:2208.10998 [gr-qc] .
  23. C. Hoy, C. Mills, and S. Fairhurst, Evidence for subdominant multipole moments and precession in merging black-hole-binaries from GWTC-2.1, Phys. Rev. D 106, 023019 (2022), arXiv:2111.10455 [gr-qc] .
  24. K. K. Y. Ng et al., Measuring properties of primordial black hole mergers at cosmological distances: effect of higher order modes in gravitational waves,   (2022), arXiv:2210.03132 [astro-ph.CO] .
  25. D. Christodoulou, Nonlinear nature of gravitation and gravitational wave experiments, Phys. Rev. Lett. 67, 1486 (1991).
  26. P. N. Payne, SMARR’S ZERO FREQUENCY LIMIT CALCULATION, Phys. Rev. D 28, 1894 (1983).
  27. A. G. Wiseman and C. M. Will, Christodoulou’s nonlinear gravitational wave memory: Evaluation in the quadrupole approximation, Phys. Rev. D 44, R2945 (1991).
  28. L. Blanchet and T. Damour, Hereditary effects in gravitational radiation, Phys. Rev. D 46, 4304 (1992).
  29. M. Favata, Post-Newtonian corrections to the gravitational-wave memory for quasi-circular, inspiralling compact binaries, Phys. Rev. D 80, 024002 (2009a), arXiv:0812.0069 [gr-qc] .
  30. M. Favata, The gravitational-wave memory effect, Class. Quantum Gravity 27, 084036 (2010), arXiv:1003.3486 [gr-qc] .
  31. Y. B. Zel’dovich and A. G. Polnarev, Radiation of gravitational waves by a cluster of superdense stars, Sov. Astron. 18, 17 (1974).
  32. V. B. Braginsky and L. P. Grishchuk, Kinematic Resonance and Memory Effect in Free Mass Gravitational Antennas, Sov. Phys. JETP 62, 427 (1985).
  33. V. B. Braginsky and K. S. Thorne, Gravitational-wave bursts with memory and experimental prospects, Nature 327, 123 (1987).
  34. J. C. Aurrekoetxea, T. Helfer, and E. A. Lim, Coherent Gravitational Waveforms and Memory from Cosmic String Loops, Class. Quant. Grav. 37, 204001 (2020), arXiv:2002.05177 [gr-qc] .
  35. A. C. Jenkins and M. Sakellariadou, Nonlinear gravitational-wave memory from cusps and kinks on cosmic strings, Class. Quant. Grav. 38, 165004 (2021), arXiv:2102.12487 [gr-qc] .
  36. M. Favata, The Gravitational-wave memory from eccentric binaries, Phys. Rev. D 84, 124013 (2011), arXiv:1108.3121 [gr-qc] .
  37. M. Favata, Nonlinear gravitational-wave memory from binary black hole mergers, Astrophys. J. Lett. 696, L159 (2009b), arXiv:0902.3660 [astro-ph.SR] .
  38. M. Ebersold and S. Tiwari, Search for nonlinear memory from subsolar mass compact binary mergers, Phys. Rev. D 101, 104041 (2020), arXiv:2005.03306 [gr-qc] .
  39. M. Hübner, P. Lasky, and E. Thrane, Memory remains undetected: Updates from the second LIGO/Virgo gravitational-wave transient catalog, Phys. Rev. D 104, 023004 (2021), arXiv:2105.02879 [gr-qc] .
  40. H. Yang and D. Martynov, Testing Gravitational Memory Generation with Compact Binary Mergers, Phys. Rev. Lett. 121, 071102 (2018), arXiv:1803.02429 [gr-qc] .
  41. O. M. Boersma, D. A. Nichols, and P. Schmidt, Forecasts for detecting the gravitational-wave memory effect with Advanced LIGO and Virgo, Phys. Rev. D 101, 083026 (2020), arXiv:2002.01821 [astro-ph.HE] .
  42. A. M. Grant and D. A. Nichols, Outlook for detecting the gravitational wave displacement and spin memory effects with current and future gravitational wave detectors,   (2022), arXiv:2210.16266 [gr-qc] .
  43. A. Buikema et al., Sensitivity and performance of the Advanced LIGO detectors in the third observing run, Phys. Rev. D 102, 062003 (2020), arXiv:2008.01301 [astro-ph.IM] .
  44. M. Punturo et al., The Einstein Telescope: A third-generation gravitational wave observatory, Class. Quant. Grav. 27, 194002 (2010).
  45. D. Reitze et al., Cosmic Explorer: The U.S. Contribution to Gravitational-Wave Astronomy beyond LIGO, Bull. Am. Astron. Soc. 51, 035 (2019), arXiv:1907.04833 [astro-ph.IM] .
  46. N. Seto, Search for Memory and Inspiral Gravitational Waves from Super-Massive Binary Black Holes with Pulsar Timing Arrays, Mon. Not. Roy. Astron. Soc. 400, L38 (2009), arXiv:0909.1379 [astro-ph.CO] .
  47. J. M. Cordes and F. A. Jenet, Detecting gravitational wave memory with pulsar timing, Astrophys. J. 752, 54 (2012).
  48. J. B. Wang et al., Searching for gravitational wave memory bursts with the Parkes Pulsar Timing Array, Mon. Not. Roy. Astron. Soc. 446, 1657 (2015), arXiv:1410.3323 [astro-ph.GA] .
  49. K. Aggarwal et al. (NANOGrav), The NANOGrav 11 yr Data Set: Limits on Gravitational Wave Memory, Astrophys. J. 889, 38 (2020), arXiv:1911.08488 [astro-ph.HE] .
  50. P. A. Seoane et al., The effect of mission duration on LISA science objectives, Gen. Rel. Grav. 54, 3 (2022), arXiv:2107.09665 [astro-ph.IM] .
  51. E. Barausse and A. Lapi, Massive Black Hole Mergers,   (2020), arXiv:2011.01994 [astro-ph.GA] .
  52. E. Barausse, The evolution of massive black holes and their spins in their galactic hosts, Mon. Not. Roy. Astron. Soc. 423, 2533 (2012), arXiv:1201.5888 [astro-ph.CO] .
  53. D. Pollney and C. Reisswig, Gravitational memory in binary black hole mergers, Astrophys. J. Lett. 732, L13 (2011), arXiv:1004.4209 [gr-qc] .
  54. A. Ashtekar, T. De Lorenzo, and N. Khera, Compact binary coalescences: Constraints on waveforms, Gen. Rel. Grav. 52, 107 (2020), arXiv:1906.00913 [gr-qc] .
  55. G. Compère, R. Oliveri, and A. Seraj, The Poincaré and BMS flux-balance laws with application to binary systems, JHEP 10, 116, arXiv:1912.03164 [gr-qc] .
  56. K. Mitman et al., Adding gravitational memory to waveform catalogs using BMS balance laws, Phys. Rev. D 103, 024031 (2021), arXiv:2011.01309 [gr-qc] .
  57. K. S. Thorne, Gravitational-wave bursts with memory: The Christodoulou effect, Phys. Rev. D 45, 520 (1992).
  58. L. E. Kidder, Using full information when computing modes of post-Newtonian waveforms from inspiralling compact binaries in circular orbit, Phys. Rev. D 77, 044016 (2008), arXiv:0710.0614 [gr-qc] .
  59. A. Tolish and R. M. Wald, Cosmological memory effect, Phys. Rev. D 94, 044009 (2016), arXiv:1606.04894 [gr-qc] .
  60. L. Bieri, D. Garfinkle, and N. Yunes, Gravitational wave memory in ΛΛ\Lambdaroman_ΛCDM cosmology, Class. Quant. Grav. 34, 215002 (2017), arXiv:1706.02009 [gr-qc] .
  61. N. Jokela, K. Kajantie, and M. Sarkkinen, Gravitational wave memory in conformally flat spacetimes,   (2023), arXiv:2301.07680 [gr-qc] .
  62. V. Varma, L. C. Stein, and D. Gerosa, vijayvarma392/surfinbh: Surrogate final bh properties 10.5281/zenodo.1435832 (2018).
  63. E. Berti, V. Cardoso, and C. M. Will, On gravitational-wave spectroscopy of massive black holes with the space interferometer LISA, Phys. Rev. D 73, 064030 (2006), arXiv:gr-qc/0512160 .
  64. X. Liu, X. He, and Z. Cao, Accurate calculation of gravitational wave memory, Phys. Rev. D 103, 043005 (2021).
  65. L. S. Finn, Detection, measurement and gravitational radiation, Phys. Rev. D 46, 5236 (1992), arXiv:gr-qc/9209010 .
  66. E. Poisson and C. M. Will, Gravitational waves from inspiraling compact binaries: Parameter estimation using second postNewtonian wave forms, Phys. Rev. D 52, 848 (1995), arXiv:gr-qc/9502040 .
  67. C. Cutler, Angular resolution of the LISA gravitational wave detector, Phys. Rev. D 57, 7089 (1998), arXiv:gr-qc/9703068 .
  68. M. Vallisneri, Use and abuse of the Fisher information matrix in the assessment of gravitational-wave parameter-estimation prospects, Phys. Rev. D 77, 042001 (2008), arXiv:gr-qc/0703086 .
  69. E. Berti, A. Buonanno, and C. M. Will, Estimating spinning binary parameters and testing alternative theories of gravity with LISA, Phys. Rev. D 71, 084025 (2005), arXiv:gr-qc/0411129 .
  70. T. Robson, N. J. Cornish, and C. Liu, The construction and use of LISA sensitivity curves, Class. Quant. Grav. 36, 105011 (2019), arXiv:1803.01944 [astro-ph.HE] .
  71. C. R. Harris et al., Array programming with NumPy, Nature 585, 357 (2020), arXiv:2006.10256 [cs.MS] .
  72. C. M. Hirata, D. E. Holz, and C. Cutler, Reducing the weak lensing noise for the gravitational wave Hubble diagram using the non-Gaussianity of the magnification distribution, Phys. Rev. D 81, 124046 (2010), arXiv:1004.3988 [astro-ph.CO] .
  73. S. Marsat, J. G. Baker, and T. Dal Canton, Exploring the Bayesian parameter estimation of binary black holes with LISA, Phys. Rev. D 103, 083011 (2021), arXiv:2003.00357 [gr-qc] .
  74. P. B. Graff, A. Buonanno, and B. S. Sathyaprakash, Missing Link: Bayesian detection and measurement of intermediate-mass black-hole binaries, Phys. Rev. D 92, 022002 (2015), arXiv:1504.04766 [gr-qc] .
  75. E. Payne, C. Talbot, and E. Thrane, Higher order gravitational-wave modes with likelihood reweighting, Phys. Rev. D 100, 123017 (2019), arXiv:1905.05477 [astro-ph.IM] .
  76. R. Abbott et al. (LIGO Scientific, Virgo), GW190412: Observation of a Binary-Black-Hole Coalescence with Asymmetric Masses, Phys. Rev. D 102, 043015 (2020), arXiv:2004.08342 [astro-ph.HE] .
  77. Q. Hu and J. Veitch, Assessing the model waveform accuracy of gravitational waves, Phys. Rev. D 106, 044042 (2022), arXiv:2205.08448 [gr-qc] .
  78. L. Lindblom, B. J. Owen, and D. A. Brown, Model Waveform Accuracy Standards for Gravitational Wave Data Analysis, Phys. Rev. D 78, 124020 (2008), arXiv:0809.3844 [gr-qc] .
  79. A. Klein et al., Science with the space-based interferometer eLISA: Supermassive black hole binaries, Phys. Rev. D 93, 024003 (2016), arXiv:1511.05581 [gr-qc] .
  80. M. Maggiore et al., Science Case for the Einstein Telescope, JCAP 03, 050, arXiv:1912.02622 [astro-ph.CO] .
  81. S. Hild et al., Sensitivity Studies for Third-Generation Gravitational Wave Observatories, Class. Quant. Grav. 28, 094013 (2011), arXiv:1012.0908 [gr-qc] .
  82. T. B. Littenberg and N. J. Cornish, Prototype Global Analysis of LISA Data with Multiple Source Types,  (2023), arXiv:2301.03673 [gr-qc] .
  83. A. Palmese et al., A statistical standard siren measurement of the hubble constant from the LIGO/virgo gravitational wave compact object merger GW190814 and dark energy survey galaxies, The Astrophysical Journal 900, L33 (2020).
  84. J. D. Hunter, Matplotlib: A 2d graphics environment, Computing in Science & Engineering 9, 90 (2007).
  85. P. Virtanen et al., SciPy 1.0: Fundamental Algorithms for Scientific Computing in Python, Nature Methods 17, 261 (2020).
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