- Access by Xinjiang University
Numerical relativity surrogate waveform models for exotic compact objects: The case of head-on mergers of equal-mass Proca stars
Phys. Rev. D 110, 024004 – Published 16 July, 2024
DOI: https://doi.org/10.1103/PhysRevD.110.024004
Abstract
We present several high-accuracy surrogate models for gravitational-wave signals from equal-mass head-on mergers of Proca stars, computed through the Newman-Penrose scalar . We also discuss the current state of the model extensions to mergers of Proca stars with different masses, and the particular challenges that these present. The models are divided in two main categories: two-stage and monolithic. In the two-stage models, a dimensional reduction algorithm is applied to embed the data in a reduced feature space, which is then interpolated in terms of the physical parameters. For the monolithic models, a single neural network is trained to predict the waveform from the input physical parameter. Our model displays mismatches below with respect to the original numerical waveforms. Finally, we demonstrate the usage of our model in full Bayesian parameter inference through the accurate recovery of numerical relativity signals injected in zero noise, together with the analysis of GW190521. For the latter, we observe excellent agreement with existing results that make use of full numerical relativity.
Physics Subject Headings (PhySH)
Article Text
References (96)
- B. P. Abbott et al. (LIGO Scientific and Virgo Collaborations), Observation of gravitational waves from a binary black hole merger, Phys. Rev. Lett. 116, 061102 (2016).
- B. P. Abbott et al. (LIGO Scientific and Virgo Collaborations), GW170817: Observation of gravitational waves from a binary neutron star inspiral, Phys. Rev. Lett. 119, 161101 (2017).
- B. P. Abbott et al. (LIGO Scientific and Virgo Collaborations), GW170814: A three-detector observation of gravitational waves from a binary black hole coalescence, Phys. Rev. Lett. 119, 141101 (2017).
- R. Abbott et al. (LIGO Scientific and Virgo Collaborations), GW190521: A binary black hole merger with a total mass of , Phys. Rev. Lett. 125, 101102 (2020).
- B. P. Abbott et al. (LIGO Scientific and Virgo Collaborations), 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 (2019).
- R. Abbott et al. (LIGO Scientific and Virgo Collaborations), GWTC-2: Compact binary coalescences observed by LIGO and Virgo during the first half of the third observing run, Phys. Rev. X 11, 021053 (2021).
- R. Abbott et al. (KAGRA, VIRGO, and LIGO Scientific Collaborations), GWTC-3: Compact binary coalescences observed by LIGO and Virgo during the second part of the third observing run, Phys. Rev. X 13, 041039 (2023).
- S. Olsen, T. Venumadhav, J. Mushkin, J. Roulet, B. Zackay, and M. Zaldarriaga, New binary black hole mergers in the LIGO-Virgo O3a data, Phys. Rev. D 106, 043009 (2022).
- A. H. Nitz, S. Kumar, Y.-F. Wang, S. Kastha, S. Wu, M. Schäfer, R. Dhurkunde, and C. D. Capano, 4-OGC: Catalog of gravitational waves from compact binary mergers, Astrophys. J. 946, 59 (2023).
- B. Allen, W. G. Anderson, P. R. Brady, D. A. Brown, and J. D. E. Creighton, FINDCHIRP: An algorithm for detection of gravitational waves from inspiraling compact binaries, Phys. Rev. D 85, 122006 (2012).
- S. A. Usman et al., The PyCBC search for gravitational waves from compact binary coalescence, Classical Quantum Gravity 33, 215004 (2016).
- K. Cannon et al., Gstlal: A software framework for gravitational wave discovery, SoftwareX 14, 100680 (2021).
- Q. Chu, M. Kovalam, L. Wen, T. Slaven-Blair, J. Bosveld, Y. Chen, P. Clearwater, A. Codoreanu, Z. Du, X. Guo, X. Guo, K. Kim, T. G. F. Li, V. Oloworaran, F. Panther, J. Powell, A. S. Sengupta, K. Wette, and X. Zhu, SPIIR online coherent pipeline to search for gravitational waves from compact binary coalescences, Phys. Rev. D 105, 024023 (2022).
- J. Veitch et al., Parameter estimation for compact binaries with ground-based gravitational-wave observations using the LALInference software library, Phys. Rev. D 91, 042003 (2015).
- G. Ashton et al., BILBY: A user-friendly Bayesian inference library for gravitational-wave astronomy, Astrophys. J. Suppl. Ser. 241, 27 (2019).
- B. Zackay, L. Dai, T. Venumadhav, J. Roulet, and M. Zaldarriaga, Detecting gravitational waves with disparate detector responses: Two new binary black hole mergers, Phys. Rev. D 104, 063030 (2021).
- K. Chandra, V. Villa-Ortega, T. Dent, C. McIsaac, A. Pai, I. W. Harry, G. S. C. Davies, and K. Soni, An optimized PyCBC search for gravitational waves from intermediate-mass black hole mergers, Phys. Rev. D 104, 042004 (2021).
- K. Chandra, J. Calderón Bustillo, A. Pai, and I. W. Harry, First gravitational-wave search for intermediate-mass black hole mergers with higher-order harmonics, Phys. Rev. D 106, 123003 (2022).
- S. Babak, R. Balasubramanian, D. Churches, T. Cokelaer, and B. S. Sathyaprakash, A template bank to search for gravitational waves from inspiralling compact binaries: I. Physical models, Classical Quantum Gravity 23, 5477 (2006).
- S. Sakon et al., Template bank for compact binary mergers in the fourth observing run of Advanced LIGO, Advanced VIRGO, and KAGRA, Phys. Rev. D 109, 044066 (2024).
- V. Cardoso and P. Pani, Testing the nature of dark compact objects: A status report, Living Rev. Relativity 22, 4 (2019).
- D. J. Kaup, Klein-Gordon geon, Phys. Rev. 172, 1331 (1968).
- R. Ruffini and S. Bonazzola, Systems of self-gravitating particles in general relativity and the concept of an equation of state, Phys. Rev. 187, 1767 (1969).
- A. Arvanitaki, S. Dimopoulos, S. Dubovsky, N. Kaloper, and J. March-Russell, String axiverse, Phys. Rev. D 81, 123530 (2010).
- A. Arvanitaki and S. Dubovsky, Exploring the string axiverse with precision black hole physics, Phys. Rev. D 83, 044026 (2011).
- F. F. Freitas, C. A. R. Herdeiro, A. P. Morais, A. Onofre, R. Pasechnik, E. Radu, N. Sanchis-Gual, and R. Santos, Ultralight bosons for strong gravity applications from simple standard model extensions, J. Cosmol. Astropart. Phys. 12 (2021) 047.
- C. A. R. Herdeiro, J. Kunz, I. Perapechka, E. Radu, and Y. Shnir, Multipolar boson stars: Macroscopic Bose-Einstein condensates akin to hydrogen orbitals, Phys. Lett. B 812, 136027 (2021).
- F. E. Schunck and E. W. Mielke, Rotating boson stars, in Relativity and Scientific Computing: Computer Algebra, Numerics, Visualization (Springer, New York, 1996), pp. 138–151.
- C. Herdeiro, I. Perapechka, E. Radu, and Y. Shnir, Asymptotically flat spinning scalar, Dirac and Proca stars, Phys. Lett. B 797, 134845 (2019).
- R. Brito, V. Cardoso, C. A. R. Herdeiro, and E. Radu, Proca stars: Gravitating Bose–Einstein condensates of massive spin 1 particles, Phys. Lett. B 752, 291 (2016).
- N. Sanchis-Gual, F. Di Giovanni, M. Zilhão, C. Herdeiro, P. Cerdá-Durán, J. A. Font, and E. Radu, Nonlinear dynamics of spinning bosonic stars: Formation and stability, Phys. Rev. Lett. 123, 221101 (2019).
- F. Di Giovanni, N. Sanchis-Gual, P. Cerdá-Durán, M. Zilhão, C. Herdeiro, J. A. Font, and E. Radu, Dynamical bar-mode instability in spinning bosonic stars, Phys. Rev. D 102, 124009 (2020).
- N. Siemonsen and W. E. East, Stability of rotating scalar boson stars with nonlinear interactions, Phys. Rev. D 103, 044022 (2021).
- A. S. Dmitriev, D. G. Levkov, A. G. Panin, E. K. Pushnaya, and I. I. Tkachev, Instability of rotating Bose stars, Phys. Rev. D 104, 023504 (2021).
- N. Sanchis-Gual, F. Di Giovanni, C. Herdeiro, E. Radu, and J. A. Font, Multifield, multifrequency bosonic stars and a stabilization mechanism, Phys. Rev. Lett. 126, 241105 (2021).
- E. Seidel and W.-M. Suen, Formation of solitonic stars through gravitational cooling, Phys. Rev. Lett. 72, 2516 (1994).
- F. Di Giovanni, N. Sanchis-Gual, C. A. R. Herdeiro, and J. A. Font, Dynamical formation of Proca stars and quasistationary solitonic objects, Phys. Rev. D 98, 064044 (2018).
- C. A. R. Herdeiro, E. Radu, N. Sanchis-Gual, N. M. Santos, and E. dos Santos Costa Filho, The non-spherical ground state of Proca stars, Phys. Lett. B 852, 138595 (2024).
- S. L. Liebling and C. Palenzuela, Dynamical boson stars, Living Rev. Relativity 26, 1 (2023).
- N. Sanchis-Gual, C. Herdeiro, E. Radu, J. C. Degollado, and J. A. Font, Numerical evolutions of spherical Proca stars, Phys. Rev. D 95, 104028 (2017).
- N. Sanchis-Gual, C. Herdeiro, J. A. Font, E. Radu, and F. Di Giovanni, Head-on collisions and orbital mergers of Proca stars, Phys. Rev. D 99, 024017 (2019).
- N. Sanchis-Gual, J. Calderón Bustillo, C. Herdeiro, E. Radu, J. A. Font, S. H. W. Leong, and A. Torres-Forné, Impact of the wavelike nature of Proca stars on their gravitational-wave emission, Phys. Rev. D 106, 124011 (2022).
- J. Calderon Bustillo, I. C. F. Wong, N. Sanchis-Gual, S. H. W. Leong, A. Torres-Forne, K. Chandra, J. A. Font, C. Herdeiro, E. Radu, and T. G. F. Li, Gravitational-wave parameter inference with the Newman-Penrose scalar, Phys. Rev. X 13, 041048 (2023).
- J. Calderon Bustillo, N. Sanchis-Gual, S. H. W. Leong, K. Chandra, A. Torres-Forne, J. A. Font, C. Herdeiro, E. Radu, I. C. F. Wong, and T. G. F. Li, Searching for vector boson-star mergers within LIGO-Virgo intermediate-mass black-hole merger candidates, Phys. Rev. D 108, 123020 (2023).
- J. Calderón Bustillo, N. Sanchis-Gual, A. Torres-Forné, J. A. Font, A. Vajpeyi, R. Smith, C. Herdeiro, E. Radu, and S. H. W. Leong, GW190521 as a merger of Proca stars: A potential new vector boson of , Phys. Rev. Lett. 126, 081101 (2021).
- P. Schmidt, Gravitational waves from binary black hole mergers: Modeling and observations, Front. Astron. Space Sci. 7, 28 (2020).
- A. Buonanno and T. Damour, Effective one-body approach to general relativistic two-body dynamics, Phys. Rev. D 59, 084006 (1999).
- A. Buonanno and T. Damour, Transition from inspiral to plunge in binary black hole coalescences, Phys. Rev. D 62, 064015 (2000).
- A. Bohe et al., Improved effective-one-body model of spinning, nonprecessing binary black holes for the era of gravitational-wave astrophysics with advanced detectors, Phys. Rev. D 95, 044028 (2017).
- S. Ossokine, A. Buonanno, S. Marsat, R. Cotesta, S. Babak, T. Dietrich, R. Haas, I. Hinder, H. P. Pfeiffer, M. Pürrer, C. J. Woodford, M. Boyle, L. E. Kidder, M. A. Scheel, and B. Szilágyi, Multipolar effective-one-body waveforms for precessing binary black holes: Construction and validation, Phys. Rev. D 102, 044055 (2020).
- A. Nagar et al., Time-domain effective-one-body gravitational waveforms for coalescing compact binaries with nonprecessing spins, tides and self-spin effects, Phys. Rev. D 98, 104052 (2018).
- A. Nagar, P. Rettegno, R. Gamba, S. Albanesi, A. Albertini, and S. Bernuzzi, Analytic systematics in next generation of effective-one-body gravitational waveform models for future observations, Phys. Rev. D 108, 124018 (2023).
- A. Gonzalez, R. Gamba, M. Breschi, F. Zappa, G. Carullo, S. Bernuzzi, and A. Nagar, Numerical-relativity-informed effective-one-body model for black-hole–neutron-star mergers with higher modes and spin precession, Phys. Rev. D 107, 084026 (2023).
- P. Ajith et al., Phenomenological template family for black-hole coalescence waveforms, Classical Quantum Gravity 24, S689 (2007).
- L. Santamaria et al., Matching post-Newtonian and numerical relativity waveforms: Systematic errors and a new phenomenological model for non-precessing black hole binaries, Phys. Rev. D 82, 064016 (2010).
- S. Khan, F. Ohme, K. Chatziioannou, and M. Hannam, Including higher order multipoles in gravitational-wave models for precessing binary black holes, Phys. Rev. D 101, 024056 (2020).
- G. Pratten, C. García-Quirós, M. Colleoni, A. Ramos-Buades, H. Estellés, M. Mateu-Lucena, R. Jaume, M. Haney, D. Keitel, J. E. Thompson, and S. Husa, Computationally efficient models for the dominant and subdominant harmonic modes of precessing binary black holes, Phys. Rev. D 103, 104056 (2021).
- S. E. Field, C. R. Galley, J. S. Hesthaven, J. Kaye, and M. Tiglio, Fast prediction and evaluation of gravitational waveforms using surrogate models, Phys. Rev. X 4, 031006 (2014).
- J. Blackman, S. E. Field, C. R. Galley, B. Szilágyi, M. A. Scheel, M. Tiglio, and D. A. Hemberger, Fast and accurate prediction of numerical relativity waveforms from binary black hole coalescences using surrogate models, Phys. Rev. Lett. 115, 121102 (2015).
- J. Blackman, S. E. Field, M. A. Scheel, C. R. Galley, D. A. Hemberger, P. Schmidt, and R. Smith, A surrogate model of gravitational waveforms from numerical relativity simulations of precessing binary black hole mergers, Phys. Rev. D 95, 104023 (2017).
- J. Blackman, S. E. Field, M. A. Scheel, C. R. Galley, C. D. Ott, M. Boyle, L. E. Kidder, H. P. Pfeiffer, and B. Szilágyi, Numerical relativity waveform surrogate model for generically precessing binary black hole mergers, Phys. Rev. D 96, 024058 (2017).
- V. Varma, S. E. Field, M. A. Scheel, J. Blackman, D. Gerosa, L. C. Stein, L. E. Kidder, and H. P. Pfeiffer, Surrogate models for precessing binary black hole simulations with unequal masses, Phys. Rev. Res. 1, 033015 (2019).
- R. Abbott et al. (LIGO Scientific and Virgo Collaborations), GW190412: Observation of a binary-black-hole coalescence with asymmetric masses, Phys. Rev. D 102, 043015 (2020).
- M. Hannam et al., General-relativistic precession in a black-hole binary, Nature (London) 610, 652 (2022).
- V. Varma, S. Biscoveanu, T. Islam, F. H. Shaik, C.-J. Haster, M. Isi, W. M. Farr, S. E. Field, and S. Vitale, Evidence of large recoil velocity from a black hole merger signal, Phys. Rev. Lett. 128, 191102 (2022).
- J. C. Bustillo, S. H. W. Leong, and K. Chandra, GW190412: Measuring a black-hole recoil direction through higher-order gravitational-wave modes, arXiv:2211.03465.
- J. C. Bustillo, A. del Rio, N. Sanchis-Gual, K. Chandra, and S. H. W. Leong, Testing mirror symmetry in the universe with LIGO-Virgo black-hole mergers, arXiv:2402.09861.
- T. Islam, A. Vajpeyi, F. H. Shaik, C.-J. Haster, V. Varma, S. E. Field, J. Lange, R. O’Shaughnessy, and R. Smith, Analysis of GWTC-3 with fully precessing numerical relativity surrogate models, arXiv:2309.14473.
- V. Varma, S. E. Field, M. A. Scheel, J. Blackman, L. E. Kidder, and H. P. Pfeiffer, Surrogate model of hybridized numerical relativity binary black hole waveforms, Phys. Rev. D 99, 064045 (2019).
- J. Yoo, V. Varma, M. Giesler, M. A. Scheel, C.-J. Haster, H. P. Pfeiffer, L. E. Kidder, and M. Boyle, Targeted large mass ratio numerical relativity surrogate waveform model for GW190814, Phys. Rev. D 106, 044001 (2022).
- R. Abbott et al. (LIGO Scientific and Virgo Collaborations), GW190814: Gravitational waves from the coalescence of a 23 solar mass black hole with a 2.6 solar mass compact object, Astrophys. J. Lett. 896, L44 (2020).
- D. Williams, I. S. Heng, J. Gair, J. A. Clark, and B. Khamesra, Precessing numerical relativity waveform surrogate model for binary black holes: A Gaussian process regression approach, Phys. Rev. D 101, 063011 (2020).
- T. Andrade, R. Gamba, and J. Trenado, Actively learning numerical relativity, arXiv:2311.11311.
- F. F. Freitas, C. A. R. Herdeiro, A. P. Morais, A. Onofre, R. Pasechnik, E. Radu, N. Sanchis-Gual, and R. Santos, Generating gravitational waveform libraries of exotic compact binaries with deep learning, arXiv:2203.01267.
- S. E. Field, C. R. Galley, J. S. Hesthaven, J. Kaye, and M. Tiglio, Fast prediction and evaluation of gravitational waveforms using surrogate models, Phys. Rev. X 4, 031006 (2014).
- S. R. Brandt et al., The Einstein toolkit, Zenodo, 10.5281/zenodo.5770803 (2021).
- T. Goodale, G. Allen, G. Lanfermann, J. Massó, T. Radke, E. Seidel, and J. Shalf, The Cactus framework and toolkit: Design and applications, in Vector and Parallel Processing—VECPAR’2002, 5th International Conference, Lecture Notes in Computer Science (Springer, Berlin, 2003).
- J. D. Brown, P. Diener, O. Sarbach, E. Schnetter, and M. Tiglio, Turduckening black holes: An analytical and computational study, Phys. Rev. D 79, 044023 (2009).
- C. Reisswig, C. D. Ott, U. Sperhake, and E. Schnetter, Gravitational wave extraction in simulations of rotating stellar core collapse, Phys. Rev. D 83, 064008 (2011).
- H. Witek and M. Zilhão, canuda, https://bitbucket.org/canuda/.
- M. Zilhão, H. Witek, and V. Cardoso, Nonlinear interactions between black holes and Proca fields, Classical Quantum Gravity 32, 234003 (2015).
- H. Witek, M. Zilhao, G. Bozzola, C.-H. Cheng, A. Dima, M. Elley, G. Ficarra, T. Ikeda, R. Luna, C. Richards, N. Sanchis-Gual, and H. Silva, Canuda: A public numerical relativity library to probe fundamental physics, Zenodo, 10.5281/zenodo.3565475 (2023).
- 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).
- T. A. Apostolatos, Search templates for gravitational waves from precessing, inspiraling binaries, Phys. Rev. D 52, 605 (1995).
- L. S. Finn, Detection, measurement and gravitational radiation, Phys. Rev. D 46, 5236 (1992).
- C. R. Galley, rompy (2020).
- A. Paszke et al., Pytorch: An imperative style, high-performance deep learning library, in Advances in Neural Information Processing Systems 32 (Curran Associates, Inc., Vancouver, Canada, 2019), pp. 8024–8035.
- R. J. E. Smith, G. Ashton, A. Vajpeyi, and C. Talbot, Massively parallel Bayesian inference for transient gravitational-wave astronomy, Mon. Not. R. Astron. Soc. 498, 4492 (2020).
- J. S. Speagle, Dynesty: A dynamic nested sampling package for estimating bayesian posteriors and evidences, Mon. Not. R. Astron. Soc. 493, 3132 (2020).
- 10.54499/UIDB/04106/2020.
- 10.54499/UIDP/04106/2020.
- 10.54499/PTDC/FISAST/3041/2020.
- 10.54499/CERN/FIS-PAR/0024/2021.
- 10.54499/2022.04560.PTDC.
- R. Abbott et al., Open data from the first and second observing runs of Advanced LIGO and Advanced Virgo, SoftwareX 13, 100658 (2021).
- The LIGO Scientific Collaboration, The Virgo Collaboration, and The KAGRA Collaboration, Open data from the third observing run of LIGO, Virgo, KAGRA and GEO, Astrophys. J. Suppl. Ser. 267, 29 (2023).