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 Λ{sub 4} in pure f ( R ) theory, and the extra dimensions are stable relative to the 'radion mode' of perturbations, the...

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Bibliographic Details
Published in:Journal of cosmology and astroparticle physics 2017-10, Vol.2017 (10), p.1-1
Main Authors: Bronnikov, K.A., Budaev, R.I., Grobov, A.V., Dmitriev, A.E., Rubin, Sergey G.
Format: Article
Language:English
Subjects:
ASTROPHYSICS, COSMOLOGY AND ASTRONOMY
COMPACTS
COSMOLOGICAL CONSTANT
DISTURBANCES
GENERAL RELATIVITY THEORY
GRAVITATION
METRICS
MINKOWSKI SPACE
NUMERICAL SOLUTION
PERTURBATION THEORY
QUANTUM GRAVITY
SYMMETRY
TWO-DIMENSIONAL CALCULATIONS
TWO-DIMENSIONAL SYSTEMS
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Summary:We show that an inhomogeneous compact extra space possesses two necessary features— their existence does not contradict the observable value of the cosmological constant Λ{sub 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 Λ{sub 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.
ISSN:1475-7516
1475-7516
DOI:10.1088/1475-7516/2017/10/001