Examples of Stable Exponential Cosmological Solutions with Three Factor Spaces in EGB Model with a Λ-Term

详细

We deal with the Einstein-Gauss-Bonnet model in dimension D with a cosmological constant. We obtain three stable cosmological solutions with exponential behavior (in time) of three scale factors, corresponding to subspaces of dimensions (l₀l₁l₂ = 3, 4, 4), (3, 3, 2), (3, 4, 3) and D = 12, 9, 11, respectively. Any of the solutions may describe an exponential expansion of 3D subspace governed by the Hubble parameter H. Two of them may also describe a small enough variation of the effective gravitational constant G (in Jordan’s frame) for certain values of Λ.