1998/11/30 by David Santiago, David I. Santiago Alexander S. Silbergleit, A. S. Silbergleit · 1 citation
Economics, Econometrics and Finance · Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Stochastic processes and financial applications #astro-ph #gr-qc
paper · pdf · doi:10.1016/s0375-9601(00)00151-1
published as Phys.Lett. A268 (2000) 69-74 · Submitte to Phys. Lett. A. Minor changes were made to clarify some points
arxiv created 1999/09/23 · openalex publication_date 2000/04/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
We give a complete description of the asymptotic behavior of a Friedmann-Robertson-Walker Universe with ``normal'' matter and a minimally coupled scalar field. We classify the conditions under which the Universe is or is not accelerating. In particular, we show that only two types of large time behavior exist: an exponential regime, and a subexponential expansion with the logarithmic derivative of the scale factor tending to zero. In the case of the subexponetial expansion the Universe accelerates when the scalar field energy density is dominant and the potential behaves in a specified manner, or if matter violates the strong energy conditon ρ+ 3p >0. When the expansion is exponential the Universe accelerates, and the scalar field energy density is dominant. We also find that the existence of the Big Bang and a never ending expansion of the Universe constrain the equation of state of matter at large and small densities, respectively.