2014/03/31 by Dmitry Chirkov, Sergey A. Pavluchenko, A. V. Toporensky +1
Mathematics · Physics and Astronomy · #Astrophysics #Black Holes and Theoretical Physics #Classical mechanics #Constant (computer programming) #Cosmological constant #Cosmology #Cosmology and Gravitation Theories #Dark energy #Einstein #Equation of state #Exponential decay #Exponential function #Galaxies: Formation, Evolution, Phenomena #Gauss–Bonnet gravity #Gauss–Bonnet theorem #Mathematical analysis #Mathematical physics #Mathematics #Perfect fluid #Physics #Quantum mechanics #Quintessence #Theoretical physics #Volume (thermodynamics) #astro-ph.CO #gr-qc #hep-th
paper · pdf · doi:10.1007/s10714-014-1799-7
published as General Relativity and Gravitation 46, 1799 (2014) · 12 pages, 1 figure; matches version accepted to Gen. Rel. Grav
arxiv created 2014/08/27 · openalex publication_date 2014/09/05 · arxiv updated 2014/12/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
In this paper we investigate the constant volume exponential solutions (i.e. the solutions with the scale factors change exponentially over time so that the comoving volume remains the same) in the Einstein-Gauss-Bonnet gravity. We find conditions for these solutions to exist and show that they are compatible with any perfect fluid with the equation of state parameter ω<1/3 if the matter density of the Universe exceeds some critical value. We write down some exact solutions which generalize ones found in our previous paper for models with a cosmological constant.