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DOE OSTI · 22667667

Inhomogeneous compact extra dimensions

Bronnikov, K. A.·Budaev, R. I.·Grobov, A. V.·Dmitriev, A. E.
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Abstract

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.

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79 ASTRONOMY AND ASTROPHYSICSCOMPACTSCOSMOLOGICAL CONSTANTDISTURBANCESGENERAL RELATIVITY THEORYGRAVITATIONMETRICSMINKOWSKI SPACENUMERICAL SOLUTIONPERTURBATION THEORYQUANTUM GRAVITYSYMMETRYTWO-DIMENSIONAL CALCULATIONSTWO-DIMENSIONAL SYSTEMS

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Bronnikov, K. A., Budaev, R. I., Grobov, A. V., Dmitriev, A. E.. 2017-10-01. Inhomogeneous compact extra dimensions. https://doi.org/10.1088/1475-7516%2F2017%2F10%2F001

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