RSS feeds
РусскийEnglish
Issue 9, 2026
Volume year page
Issues Authors PACS Subscription For authors

Issues

 / 

2008

 / 

May

←  →

Methodological notes


A dynamic model of the wormhole and the Multiverse model

 a,  b, a, c,  a
a Astro Space Centre, Lebedev Physical Institute, Russian Academy of Sciences, ul. Profsoyuznaya 84/32, Moscow, 117997, Russian Federation
b National Research Centre ‘Kurchatov Institute’, pl. Akademika Kurchatova 1, Moscow, 123182, Russian Federation
c Niels Bohr Institute, Blegdamsvej 17, Copenhagen, DK-2100, Denmark

An analytic solution methodology for general relativity (GR) equations describing the hypothetical phenomenon of wormholes is presented and the analysis of wormholes in terms of their physical properties is discussed. An analytic solution of the GR equations for static and dynamic spherically symmetric wormholes is given. The dynamic solution generally describes a ‘traversable’ wormhole, i.e., one allowing matter, energy, and information to pass through it. It is shown how the energy-momentum tensor of matter in a wormhole can be represented in a form allowing the GR equations to be solved analytically, which has a crucial methodological importance for analyzing the properties of the solution obtained. The energy-momentum tensor of wormhole matter is represented as a superposition of a spherically symmetric magnetic (or electric) field and negative- density dust matter, serving as exotic matter necessary for a ‘traversable’ wormhole to exist. The dynamics of the model are investigated. A similar model is considered (and analyzed in terms of inflation) for the Einstein equations with a Λ term. Superposing enough dust matter, a magnetic field, and a Λ term can produce a static solution, which turns out to be a spherical Multiverse model with an infinite number of wormhole-connected spherical universes. This Multiverse can have its total energy positive everywhere in space, and in addition can be out of equilibrium (i.e., dynamic).

Fulltext pdf (293 KB)
Fulltext is also available at DOI: 10.1070/PU2008v051n05ABEH006581
PACS: 04.20.−q, 04.40.−b, 04.70.−s (all)
DOI: 10.1070/PU2008v051n05ABEH006581
URL: https://ufn.ru/en/articles/2008/5/c/
000259376200003
2-s2.0-51549089411
2008PhyU...51..457S
Citation: Shatskii A A, Novikov I D, Kardashev N S "A dynamic model of the wormhole and the Multiverse model" Phys. Usp. 51 457–464 (2008)
BibTexBibNote ® (generic)BibNote ® (RIS)MedlineRefWorks

Оригинал: Шацкий А А, Новиков И Д, Кардашев Н С «Динамическая модель кротовой норы и модель Мультивселенной» УФН 178 481–488 (2008); DOI: 10.3367/UFNr.0178.200805c.0481

References (32) Cited by (60) ↓ Similar articles (20)

  1. Crispim T M, Alencar G, Muniz C R Class. Quantum Grav. 43 (11) 115013 (2026)
  2. Malik A, Hafez R M et al Universe 12 (8) 226 (2026)
  3. Cañate Pedro Phys. Rev. D 110 (8) (2024)
  4. Tair M, Bacanin N et al Lecture Notes On Data Engineering And Communications Technologies Vol. Mobile Computing and Sustainable InformaticsXGBoost Design by?iMulti-verse Optimiser: An Application for?iNetwork Intrusion Detection126 Chapter 1 (2022) p. 1
  5. Shchigolev V K Mod. Phys. Lett. A 37 (20) (2022)
  6. Cañate Pedro, Maldonado-Villamizar F  H Phys. Rev. D 106 (4) (2022)
  7. Malik A, Mofarreh F et al Chinese Phys. C 46 (9) 095104 (2022)
  8. Khusnutdinov N Eur. Phys. J. Plus 136 (6) (2021)
  9. Bugaev M A, Novikov I D et al Astron. Rep. 65 (12) 1185 (2021)
  10. Kardashev N S, Novikov I D, Repin S V ’pс’?’?kh’? ф’?’?’?ch’?с’?’?kh ’?’?у’? 190 (06) 664 (2020) [Kardashev N S, Novikov I D, Repin S V Phys.-Usp. 63 (6) 617 (2020)]
  11. Kardashev N S, Novikov I D, Repin S V ’pс’?’?kh’? ф’?’?’?ch’?с’?’?kh ’?’?у’? 190 (06) 664 (2020) [Dokuchaev V I, Nazarova N O Phys.-Usp. 63 (6) 583 (2020)]
  12. Da i D-Ch, Minic D, Stojkovic D Eur. Phys. J. C 80 (12) (2020)
  13. Dokuchaev V I, Nazarova N O ’pс’?’?kh’? ф’?’?’?ch’?с’?’?kh ’?’?у’? 190 (06) 627 (2020)
  14. Dokuchaev V I, Nazarova N O Universe 6 (9) 154 (2020)
  15. Tsukamoto N, Kokubu T Phys. Rev. D 101 (4) (2020)
  16. Novikov I D, Novikov D I J. Exp. Theor. Phys. 129 (4) 495 (2019)
  17. Cremona F, Pirotta F, Pizzocchero L Gen Relativ Gravit 51 (1) (2019)
  18. Dokuchaev V I, Nazarova N O J. Exp. Theor. Phys. 128 (4) 578 (2019)
  19. Dokuchaev V Int. J. Mod. Phys. D 28 (13) 1941005 (2019)
  20. Tsukamoto N, Kokubu T Phys. Rev. D 98 (4) (2018)
  21. Novikov I D ’pс’?’?kh’? ф’?’?’?ch’?с’?’?kh ’?’?у’? 188 (03) 301 (2018) [Novikov I D Phys.-Usp. 61 (3) 280 (2018)]
  22. Evseev O  A, Melichev O  I Phys. Rev. D 97 (12) (2018)
  23. Tsukamoto N, Gong Yu Phys. Rev. D 97 (8) (2018)
  24. Evseev O, Melichev O et al EPJ Web Conf. 191 07012 (2018)
  25. Kardashev N S Astron. Rep. 61 (4) 310 (2017)
  26. Dokuchaev V, Nazarova N J. Phys.: Conf. Ser. 934 012044 (2017)
  27. Tsukamoto N, Harada T Phys. Rev. D 95 (2) (2017)
  28. Dokuchaev V I, Nazarova N O Jetp Lett. 106 (10) 637 (2017)
  29. Evseev O  A, Melichev O  I Phys. Rev. D 96 (2) (2017)
  30. Tsukamoto N Phys. Rev. D 95 (8) (2017)
  31. ’F’?р’?’?sh’?’? ’v ’l ’Bстр’?’?’?’?’?ch’?с’?’?’? zhур’?’?’? (4) 301 (2017)
  32. Azreg-Aïnou Mustapha Eur. Phys. J. C 76 (1) (2016)
  33. ’iу’?’?’?’?’? ’E ’B, Rubakov V A ’n’?’?р’?т’?ch’?с’?’?ya ’?’?т’?’?’?т’?ch’?с’?’?ya ф’?’?’?’?’? 187 (2) 338 (2016) [Rubakov V A Theor Math Phys 188 (2) 1253 (2016)]
  34. ’iу’?’?’?’?’? ’E ’B, Rubakov V A ’n’?’?р’?т’?ch’?с’?’?ya ’?’?т’?’?’?т’?ch’?с’?’?ya ф’?’?’?’?’? 188 (2) 337 (2016) [Rubakov V A Theor Math Phys 188 (2) 1253 (2016)]
  35. Konoplya R A, Zhidenko A J. Cosmol. Astropart. Phys. 2016 (12) 043 (2016)
  36. Fortov V E Springer Series In Materials Science Vol. Extreme States of MatterHigh Energy Densities in Planets and Stars216 Chapter 9 (2016) p. 505
  37. Tsukamoto N Phys. Rev. D 94 (12) (2016)
  38. Azreg-Aïnou Mustapha Eur. Phys. J. C 76 (1) (2016)
  39. Rubakov V A Theor Math Phys 187 (2) 743 (2016)
  40. Dokuchaev V I, Eroshenko Yu N ’pс’?’?kh’? ф’?’?’?ch’?с’?’?kh ’?’?у’? 185 (8) 829 (2015) [Dokuchaev V I, Eroshenko Yu N Phys.-Usp. 58 (8) 772 (2015)]
  41. Kardashev N S, Lipatova L N et al Astron. Rep. 59 (2) 89 (2015)
  42. Tsukamoto N, Bambi C Phys. Rev. D 91 (10) (2015)
  43. Novikov I D, Shatskiy A A, Novikov D I Astron. Rep. 59 (5) 339 (2015)
  44. Rubakov V A ’pс’?’?kh’? ф’?’?’?ch’?с’?’?kh ’?’?у’? 184 (2) 137 (2014) [Rubakov V A Phys.-Usp. 57 (2) 128 (2014)]
  45. Fortov V E, Lomonosov I V ’pс’?’?kh’? ф’?’?’?ch’?с’?’?kh ’?’?у’? 184 (3) 231 (2014) [Fortov V E, Lomonosov I V Phys.-Usp. 57 (3) 219 (2014)]
  46. Kardashev N S, Novikov I D et al ’pс’?’?kh’? ф’?’?’?ch’?с’?’?kh ’?’?у’? 184 (12) 1319 (2014) [Kardashev N S, Novikov I D et al Phys.-Usp. 57 (12) 1199 (2014)]
  47. Bronnikov K A, Lipatova L N et al Gravit. Cosmol. 19 (4) 269 (2013)
  48. Cherepashchuk A M ’pс’?’?kh’? ф’?’?’?ch’?с’?’?kh ’?’?у’? 183 (5) 535 (2013) [Cherepashchuk A M Phys.-Usp. 56 (5) 509 (2013)]
  49. Gonz?llez-D?eaz Pedro F, Alonso-Serrano A Phys. Rev. D 84 (2) (2011)
  50. Fortov V E Extreme States of Matter The Frontiers Collection Chapter 7 (2011) p. 185
  51. Alexeyev S O, Rannu K A, Gareeva D V J. Exp. Theor. Phys. 113 (4) 628 (2011)
  52. Khusnutdinov N R, Popov A A, Lipatova L N Class. Quantum Grav. 27 (21) 215012 (2010)
  53. Sarbach O, Zannias T Phys. Rev. D 81 (4) (2010)
  54. Shatskiy A A, Doroshkevich A G et al J. Exp. Theor. Phys. 110 (2) 235 (2010)
  55. Novikova E I, Novikov I D Phys. Rev. D 81 (10) (2010)
  56. Maeda H, Harada T, Carr B J Phys. Rev. D 79 (4) (2009)
  57. Shatskii A A Uspekhi Fizicheskikh Nauk 179 (8) 861 (2009)
  58. Kardashev N S ’pс’?’?kh’? ф’?’?’?ch’?с’?’?kh ’?’?у’? 179 (11) 1191 (2009)
  59. Novikov D I, Doroshkevich A G et al Astron. Rep. 53 (12) 1079 (2009)
  60. DOROSHKEVICH A, HANSEN JA et al Int. J. Mod. Phys. D 18 (11) 1665 (2009)
© 1918–2026 Uspekhi Fizicheskikh Nauk
Email: ufn@ufn.ru Editorial office contacts About the journal Terms and conditions