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100th anniversary of the birth of Ya.B. Zeldovich


Geometrodynamics: the nonlinear dynamics of curved spacetime

,
California Institute of Technology, 1200 East California Boulevard, Pasadena, CA, 91125, USA

We review discoveries in the nonlinear dynamics of curved spacetime, largely made possible by numerical solutions of Einstein’s equations. We discuss critical phenomena and self-similarity in gravitational collapse, the behavior of spacetime curvature near singularities, the instability of black strings in 5 spacetime dimensions, and the collision of four-dimensional black holes. We also discuss the prospects for further discoveries in geometrodynamics via observation of gravitational waves.

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Fulltext is also available at DOI: 10.3367/UFNe.0184.201404b.0367
PACS: 04.20.−q, 04.25.dg, 04.25.dc, 04.50.Gh (all)
DOI: 10.3367/UFNe.0184.201404b.0367
URL: https://ufn.ru/en/articles/2014/4/c/
000338713200002
2-s2.0-84904013780
2014PhyU...57..342S
Citation: Scheel M A, Thorne K S "Geometrodynamics: the nonlinear dynamics of curved spacetime" Phys. Usp. 57 342–351 (2014)
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Received: 9th, January 2014, 10th, January 2014

Оригинал: Шил М А, Торн К С «Геометродинамика: нелинейная динамика искривлённого пространства-времени» УФН 184 367–378 (2014); DOI: 10.3367/UFNr.0184.201404b.0367

References (46) ↓ Cited by (19) Similar articles (13)

  1. Wheeler J A Geometrodynamics (New York: Academic Press, 1962)
  2. Doroshkevich A G, Zel’dovich Ya B, Novikov I D Zh. Eksp. Teor. Fiz. 49 170 (1965); Doroshkevich A G, Zel’dovich Ya B, Novikov I D Sov. Phys. JETP 22 122 (1966)
  3. Choptuik M W Phys. Rev. Lett. 70 9 (1993)
  4. Christodoulou D Ann. Math. 140 607 (1994)
  5. Abrahams A M, Evans C R Phys. Rev. Lett. 70 2980 (1993)
  6. Sorkin E Class. Quantum Grav. 28 025011 (2011)
  7. Gundlach C Living Rev. Rel. 2 4 (1999); Gundlach C http://www.livingreviews.org/lrr-1999-4
  8. Grishchuk L P Zh. Eksp. Teor. Fiz. 53 1699 (1967); Grishchuk L P Sov. Phys. JETP 26 974 (1968)
  9. Zel’dovich Ya B Astron. Astrophys. 5 84 (1970)
  10. Hawking S W, Penrose R Proc. R. Soc. London A 314 529 (1970)
  11. Belinskii V A, Lifshits E M, Khalatnikov I M Usp. Fiz. Nauk 102 463 (1970); Belinskii V A, Lifshitz E M, Khalatnikov I M Sov. Phys. Usp. 13 745 (1971); Khalatnikov I M, Kamenshchik A Yu Usp. Fiz. Nauk 178 639 (2008); Khalatnikov I M, Kamenshchik A Yu Phys. Usp. 51 609 (2008)
  12. Garfinkle D Phys. Rev. Lett. 93 161101 (2004)
  13. Lim W C, Andersson L, Garfinkle D, Pretorius F Phys. Rev. D 79 123526 (2009)
  14. Thorne K S Black Holes And Time Warps: Einstein’s Outrageous Legacy (New York: W.W. Norton & Co., 1994); Torn K S Chernye Dyry i Skladki Vremeni: Derzkoe Nasledie Einshteina (M.: Izd-vo fiziko-matematicheskoi literatury, 2007)
  15. Marolf D, Ori A Phys. Rev. D 86 124026 (2012)
  16. Poisson E, Israel W Phys. Rev. D 41 1796 (1990)
  17. Ori A Phys. Rev. D 61 024001 (2000)
  18. Lehner L, Pretorius F Phys. Rev. Lett. 105 101102 (2010)
  19. Gregory R, Laflamme R Phys. Rev. Lett. 70 2837 (1993)
  20. Owen R, Brink J, Chen Y, Kaplan J D, Lovelace G, Matthews K D, Nichols D A, Scheel M A, Zhang F, Zimmerman A, Thorne K S Phys. Rev. Lett. 106 151101 (2011)
  21. Everitt C W F et al. Phys. Rev. Lett. 106 221101 (2011)
  22. Lovelace G, Chen Y, Cohen M, Kaplan J D, Keppel D, Matthews K D, Nichols D A, Scheel M A, Sperhake U Phys. Rev. D 82 064031 (2010); Lovelace G, Chen Y, Cohen M, Kaplan J D, Keppel D, Matthews K D, Nichols D A, Scheel M A, Sperhake U arXiv:0907.0869
  23. Head-on collision of spinning black holes, http://www.youtube.com/watch?v=4nM6kf2OAFw
  24. Nichols D A, Zimmerman A, Chen Y, Lovelace G, Matthews K D, Owen R, Zhang F, Thorne K S Phys. Rev. D 86 104028 (2012); Nichols D A, Zimmerman A, Chen Y, Lovelace G, Matthews K D, Owen R, Zhang F, Thorne K S arXiv:1208.3038
  25. Campanelli M, Lousto C O, Zlochower Y, Merritt D Phys. Rev. Lett. 98 231102 (2007); Campanelli M, Lousto C O, Zlochower Y, Merritt D gr-qc/0702133
  26. González J A, Hannam M, Sperhake U, Brügmann B, Husa S Phys. Rev. Lett. 98 231101 (2007); González J A, Hannam M, Sperhake U, Brügmann B, Husa S gr-qc/0702052
  27. Lousto C O, Zlochower Y Phys. Rev. D 83 024003 (2011); Lousto C O, Zlochower Y arXiv:1011.0593
  28. Super-kick black hole merger: Horizon vorticity, http://www.youtube.com/watch?v=5xJ5MP6-DKQ
  29. Super-kick black hole merger: Horizon tendicity, http://www.youtube.com/watch?v=43Gs75GNC9Y
  30. Mroué A H, Scheel M A, Szilágyi B et al. Phys. Rev. Lett. 111 241104 (2013); Mroué A H, Scheel M A, Szilágyi B et al. arXiv:1304.6077
  31. Highly precessing binary black hole run, http://www.youtube.com/watch?v=grA5KfDlsAY
  32. Foucart F Phys. Rev. D 86 124007 (2012); Foucart F arXiv:1207.6304
  33. Foucart F, Duez M D, Kidder L E, Teukolsky S A Phys. Rev. D 83 024005 (2011); Foucart F, Duez M D, Kidder L E, Teukolsky S A arXiv:1007.4203
  34. Precessing black hole-neutron star merger, http://www.youtube.com/watch?v=6g807FFZYqM
  35. Abadie J et al. (LIGO Scientific Collab., Virgo Collab.) Phys. Rev. D 85 082002 (2012); Abadie J et al. (LIGO Scientific Collab., Virgo Collab.) arXiv:1111.7314
  36. Aasi J et al. (LIGO Scientific Collab., Virgo Collab.) Phys. Rev. D 87 022002 (2013); Aasi J et al. (LIGO Scientific Collab., Virgo Collab.) arXiv:1209.6533
  37. Aasi J et al. (LIGO Scientific Collab., Virgo Collab.) LIGO Document P1200087-v18 (2013); Aasi J et al. (LIGO Scientific Collab., Virgo Collab.) https://dcc.ligo.org/LIGO-P1200087-v18/public; Aasi J et al. (LIGO Scientific Collab., Virgo Collab.) arXiv:1304.0670
  38. Fairhurst S Proc. of the Intern. Conf. on Gravitational and Cosmology (ICGC2011), 14 - 19 December 2011, Goa, India; Fairhurst S arXiv:1205.6611
  39. Deller A T, Bailes M, Tingay S J Science 323 1327 (2009); Deller A T, Bailes M, Tingay S J arXiv:0902.0996
  40. O’Shaughnessy R, Kim C, Kalogera V, Belczynski K Astrophys. J. 672 479 (2008); O’Shaughnessy R, Kim C, Kalogera V, Belczynski K astro-ph/0610076
  41. Abadie J et al. (LIGO Scientific Collab., Virgo Collab.) Class. Quantum Grav. 27 173001 (2010); Abadie J et al. (LIGO Scientific Collab., Virgo Collab.) arXiv:1003.2480
  42. Pekowsky L, O’Shaughnessy R, Healy J, Shoemaker D Phys. Rev. D 88 024040 (2013); Pekowsky L, O’Shaughnessy R, Healy J, Shoemaker D arXiv:1304.3176
  43. Ajith P et al. Class. Quantum Grav. 29 124001 (2012)
  44. Ajith P et al. Class. Quantum Grav. 30 199401 (2013)
  45. Aasi J et al. (LIGO Scientific Collab., Virgo Collab., NINJA-2 Collab.) arXiv:1401.0939
  46. Hinder I et al. (The NRAR Collab., Perimeter Institute for Theoretical Physics) Class. Quantum Grav. 31 025012 (2014); Hinder I et al. (The NRAR Collab., Perimeter Institute for Theoretical Physics) arXiv:1307.5307
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