Inhomogeneous compact extra dimensions

We show that an inhomogeneous compact extra space possesses two necessary features - their existence does not contradict the observable value of the cosmological constant Lambda(4) in pure f(R) theory, and the extra dimensions are stable relative to the "radion mode" of perturbations, the only mode considered. For a two-dimensional extra space, both analytical and numerical solutions for the metric are found, able to provide a zero or arbitrarily small Lambda(4). A no-go theorem has also been proved, that maximally symmetric compact extra spaces are inconsistent with 4D Minkowski space in the framework of pure f(R) gravity.

Authors
Bronnikov K.A. 1, 2, 3 , Budaev R.I.2 , Grobov A.V.2, 5 , Dmitriev A.E.2 , Rubin S.G.2, 4
Publisher
IOP PUBLISHING LTD
Number of issue
10
Language
English
Status
Published
Number
001
Year
2017
Organizations
  • 1 VNIIMS, Ctr Grav & Fundamental Metrol, 46 Ozyornaya St, Moscow 119361, Russia
  • 2 Natl Res Nucl Univ MEPhI, Moscow Engn Phys Inst, Moscow 115409, Russia
  • 3 RUDN Univ, Peoples Friendship Univ Russia, Inst Gravitat & Cosmol, 6 Miklukho Maklaya St, Moscow 117198, Russia
  • 4 Kazan Fed Univ, NI Lobachevsky Inst Math & Mech, Kremlevskaya St 18, Kazan 420008, Russia
  • 5 Kurchatov Inst, Natl Res Ctr, Akad Kurchatova Pl 1, Moscow 123182, Russia
Keywords
extra dimensions; modified gravity; cosmology with extra dimensions
Date of creation
19.10.2018
Date of change
23.02.2019
Short link
https://repository.rudn.ru/en/records/article/record/9184/
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