AT1 - Extended Theories of Gravity and Quantum Cosmology |
Speaker |
Bolokhov, Sergei |
Coauthors |
Bronnikov, Kirill |
Talk Title |
Stabilization Of Extra Dimensions In Nonlinear Multidimensional Gravity With Multiple Factor Spaces |
Abstract |
In multidimensional KaluzaKlein 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. |
Talk view |
|
|