Cosmological solutions in the Lovelock theory and the Einstein-Gauss-Bonnet theory with a dilaton

I.V. Kirnos1, A.N. Makarenko2 and K.E. Osetrin3

Abstract

For a description of the expanding Universe agreeing with the observational data, one of the models of modified gravity is chosen, the Lovelock theory with a dilaton. We have considered an empty D-dimensional space-time with two maximally symmetric subspaces, one being 3-dimensional, the other (D - 4)-dimensional. In different versions of the theory under study (in the third order without a dilaton an in the second order, i.e., in the Einstein-Gauss-Bonnet theory with a dilaton), a number of exact and approximate cosmological solutions have been obtained. Among them we have selected the solutions describing an accelerated expansion of the 3-dimensional space. The unobservability of the extra space is explained with the aid of the Kaluza-Klein approach.

References

  1. D. Lovelock, The Einstein tensor and its generalizations, J. Math. Phys. 12, 498 (1971).
  2. L. D. Landau and E. M. Lifshitz, Field Theory (Nauka, Moscow, 1988).
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