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2014

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


Ya B Zeldovich's ideas and modern Brans—Dicke cosmology

 a, b,  a,  c,  c
a Astro Space Centre, Lebedev Physical Institute, Russian Academy of Sciences, ul. Profsoyuznaya 84/32, Moscow, 117997, Russian Federation
b Niels Bohr International Academy, Niels Bohr Institute, Blegdamsvej 17, Copenhagen, DK-2100, Denmark
c Lomonosov Moscow State University, Shternberg State Astronomical Institute, Universitetskii prosp. 13, Moscow, 119889, Russian Federation

We compare Ya.B. Zeldovich’s ideas about Brans—Dicke theory and Mach’s principles, contained in now-classical books, with modern results in this field. Our recent results on the Brans—Dicke cosmology with cosmological term are presented. The Friedmann—Brans—Dicke equations are written for a flat Universe. The initial conditions for the model are provided by the presently observed Hubble constant, its first time derivative (the deceleration parameter), and matter density. The cosmological scenario with the scale factor not vanishing in the past, corresponding to the absence of the cosmological singularity, is analytically calculated. Instead of the singularity, the scale factor experiences a “bounce” and demonstrates the regular behavior at all times. Some ideas related to Mach’s principle are also discussed.

Fulltext pdf (168 KB)
Fulltext is also available at DOI: 10.3367/UFNe.0184.201404c.0379
PACS: 04.60.Bc, 04.60.Pp, 98.80.Cq, 98.80.Qc (all)
DOI: 10.3367/UFNe.0184.201404c.0379
URL: https://ufn.ru/en/articles/2014/4/d/
000338713200003
2-s2.0-84903941561
2014PhyU...57..352N
Citation: Novikov I D, Shatskii A A, Alexeyev S O, Tret’yakova D A "Ya B Zeldovich's ideas and modern Brans—Dicke cosmology" Phys. Usp. 57 352–358 (2014)
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Received: 4th, September 2013, revised: 8th, October 2013, 14th, October 2013

Оригинал: Новиков И Д, Шацкий А А, Алексеев С О, Третьякова Д А «Идеи Я.Б. Зельдовича и современная космология Бранса—Дикке» УФН 184 379–386 (2014); DOI: 10.3367/UFNr.0184.201404c.0379

References (43) ↓ Cited by (6) Similar articles (14)

  1. Zel’dovich Ya B, Novikov I D Relyativistskaya Astrofizika (M.: Nauka, 1967); Zeldovich Ya B, Novikov I D Relativistic Astrophysics Vol. 1, 2 (Chicago: Univ. of Chicago Press, 1971, 1983)
  2. Zel’dovich Ya B, Novikov I D Teoriya Tyagoteniya i Evolyutsiya Zvezd (M.: Nauka, 1971)
  3. Zel’dovich Ya B, Novikov I D Stroenie i Evolyutsiya Vselennoi (M.: Nauka, 1975)
  4. Zel’dovich Ya B Pis’ma ZhETF 20 338 (1974); Zel’dovich Ya B JETP Lett. 20 151 (1974)
  5. Tretyakova D A, Shatskiy A A, Novikov I D, Alexeyev S Phys. Rev. D 85 124059 (2012)
  6. Riess A G et al. Astron. J. 116 1009 (1998)
  7. Riess A G et al. Astrophys. J. 607 665 (2004)
  8. Perlmutter S et al. Astrophys. J. 517 565 (1999)
  9. Schmidt B P et al. Astrophys. J. 507 46 (1998)
  10. Steinhardt P J, Wang L, Zlatev I Phys. Rev. D 59 123504 (1999)
  11. Persic M, Salucci P, Stel F Mon. Not. R. Astron. Soc. 281 27 (1996)
  12. Copeland E J, Sami M, Tsujikawa S Int. J. Mod. Phys. D 15 1753 (2006)
  13. Buchdahl H A Mon. Not. R. Astron. Soc. 150 1 (1970)
  14. Peebles P J E, Ratra B Rev. Mod. Phys. 75 559 (2003)
  15. Starobinsky A A Pis’ma ZhETF 86 183 (2011); Starobinsky A A JETP Lett. 86 157 (2007)
  16. Brans C, Dicke R H Phys. Rev. 124 925 (1961)
  17. Bertotti B, Iess L, Tortora P Nature 425 374 (2003)
  18. Wittich P, ATLAS Collab., CDF Collab., CMS Collab., D0 Collab. AIP Conf. Proc. 1441 13 (2012); Wittich P, ATLAS Collab., CDF Collab., CMS Collab., D0 Collab. arXiv:1111.1169
  19. Tamaki T, Maeda K, Torii T Phys. Rev. D 57 4870 (1998)
  20. Mathiazhagan C, Johri V B Class. Quantum Grav. 1 L29 (1984)
  21. La D, Steinhardt P J Phys. Rev. Lett. 62 376 (1989); La D, Steinhardt P J Phys. Rev. Lett. 62 1066 (1989)
  22. Linde A Phys. Lett. B 238 160 (1990)
  23. Gurevich L E, Finkelstein A M, Ruban V A Astrophys. Space Sci. 22 231 (1973)
  24. Lee H W, Kim K Y, Myung Y S Eur. Phys. J. C 71 1585 (2011)
  25. Smolyakov M N arXiv:0711.3811
  26. Kim H J. Korean Phys. Soc. 51 453 (2007)
  27. Uehara K, Kim C W Phys. Rev. D 26 2575 (1982)
  28. Ahmadi-Azar E, Riazi N Astrophys. Space Sci. 226 1 (1995)
  29. Pimentel L O Astrophys. Space Sci. 112 175 (1985)
  30. Ram S, Singh C P Astrophys. Space Sci. 254 143 (1997)
  31. Pandey S N Astrophys. Space Sci. Suppl. 277 403 (2001)
  32. Romero C, Barros A Gen. Relat. Grav. 25 491 (1993)
  33. Romero C, Barros A Astrophys. Space Sci. 192 263 (1992)
  34. Cerveró J M, Estévez P G Gen. Relat. Grav. 15 351 (1983)
  35. Etoh T et al. Astron. Astrophys. 325 893 (1997)
  36. Kolitch S J Ann. Physics 246 121 (1996)
  37. El-Nabulsi A R Astrophys. Space Sci. 327 155 (2010)
  38. Cai R, Tuo Z-L arXiv:1105.1603
  39. Komatsu E et al. Astrophys. J. Suppl. 192 18 (2011)
  40. Williams J G, Turyshev S G, Boggs D H Phys. Rev. Lett. 93 261101 (2004)
  41. Agnese A G, La Camera M Phys. Rev. D 49 2126 (1994)
  42. Alekseev S O, Rannu K A, Gareeva D V Zh. Eksp. Teor. Fiz. 140 722 (2011); Alexeyev S O, Rannu K A, Gareeva D V JETP 113 628 (2011)
  43. Naselsky P D, Novikov D I, Novikov I D The Physics Of The Cosmic Microwave Background (Cambridge: Cambridge Univ. Press, 2006)

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