2010/02/28 by I. V. Kirnos, Sergey A. Pavluchenko, S. A. Pavluchenko +1 · 1 citation
Earth and Planetary Sciences · Physics and Astronomy · #Black Holes and Theoretical Physics #Classical mechanics #Computer science #Cosmological model #Cosmology #Cosmology and Gravitation Theories #Einstein #Gauss #Gauss–Bonnet gravity #Gauss–Bonnet theorem #Geophysics and Gravity Measurements #Gravitation #Mathematical physics #Perfect fluid #Physics #Quantum mechanics #Stability (learning theory) #Theoretical physics #gr-qc
paper · pdf · doi:10.1134/s0202289310040043
published as Grav.Cosmol.16:274-282,2010 · 14 pages, 5 figures, 1 table; v2 minor corrections, conclusions unchanged
arxiv created 2010/03/31 · openalex publication_date 2010/10/01 · arxiv updated 2015/03/13 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/06
We study a flat multidimensional cosmological model in Gauss-Bonnet gravity in the presence of matter in the form of a perfect fluid. We find analytically new stationary regimes (these results are valid for an arbitrary number of spatial dimensions) and study their stability by means of numerical recipes in the (4 + 1)-dimensional case. In the vicinity of the stationary regime, we find numerically another nonsingular regime which appears to be periodical. Finally, we demonstrate that the presence of matter in the form of a perfect fluid lifts some constraints on the dynamics of the (4 + 1)-dimensional model which have been found earlier.