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.

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) BibTexBibNote ® (generic)BibNote ® (RIS)MedlineRefWorks Received: 4th, September 2013, revised: 8th, October 2013, accepted: 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