MG15 - Talk detail |
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Participant |
Bolokhov, Sergei | |||||||
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Institution |
Peoples' Friendship University of Russia (RUDN University) - Miklukho-Maklaya st. 6 - Moscow - Moscow - Russia | |||||||
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Session |
AT1 |
Accepted |
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Order |
Time |
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Talk |
Oral abstract |
Title |
Stabilization Of Extra Dimensions In Nonlinear Multidimensional Gravity With Multiple Factor Spaces | |||||
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Abstract |
In multidimensional Kaluza–Klein gravity with nonlinear curvature terms and two spherical extra spaces of dimensions m and n, we study the properties of an effective action for the scale factors of extra dimensions. Dimensional reduction leads to an effective 4D multiscalar-tensor theory. Based on qualitative estimates of the Casimir energy contribution at a physically reasonable length scale, we demonstrate the existence of such sets of the initial parameters of the theory in the case m = n that provide a minimum of the effective potential at this scale which yields a fine-tuned value of the effective 4D cosmological constant. The corresponding size of extra dimensions depends of which conformal frame is interpreted as the observational one: it is about three orders of magnitude larger than the standard Planck length if we adhere to the Einstein frame, but it is n-dependent in the Jordan frame, and its invisibility requirement restricts the total dimension to values D = 4 + 2n ≤ 20. |
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