Inhomogeneous compact extra dimensions

Journal Article · Sun Oct 01 04:00:00 EDT 2017 · Journal of Cosmology and Astroparticle Physics

DOI:https://doi.org/10.1088/1475-7516/2017/10/001· OSTI ID:22667667

Bronnikov, K. A. ^[1]; Budaev, R. I.; Grobov, A. V.; Dmitriev, A. E.

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1. Center of Gravity and Fundamental Metrology, VNIIMS, 46 Ozyornaya st., Moscow 119361 (Russian Federation)

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.

• OSTI ID: 22667667
• Journal Information: Journal of Cosmology and Astroparticle Physics, Journal Name: Journal of Cosmology and Astroparticle Physics Journal Issue: 10 Vol. 2017; ISSN 1475-7516
• Country of Publication: United States
• Language: English

Related Subjects

79 ASTRONOMY AND ASTROPHYSICS
COMPACTS
COSMOLOGICAL CONSTANT
DISTURBANCES
GENERAL RELATIVITY THEORY
GRAVITATION
METRICS
MINKOWSKI SPACE
NUMERICAL SOLUTION
PERTURBATION THEORY
QUANTUM GRAVITY
SYMMETRY
TWO-DIMENSIONAL CALCULATIONS
TWO-DIMENSIONAL SYSTEMS