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 is available at IOP
PACS: 04.60.Bc, 04.60.Pp, 98.80.Cq, 98.80.Qc (all)
DOI: 10.3367/UFNe.0184.201404c.0379
Citation: Novikov I D, Shatskiy A A, Alexeyev S O, Tretyakova 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

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