2008/08/26 by Davood Momeni, D. Momeni, A. Azadi
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Classical mechanics #Cosmological constant #Cosmology #Cosmology and Gravitation Theories #Dark energy #De Sitter space #De Sitter universe #Equation of state #Event horizon #Galaxies: Formation, Evolution, Phenomena #Horizon #Mathematical physics #Physics #Quantum electrodynamics #Quantum mechanics #Scalar field #Schwarzschild radius #Spacetime #Universe #gr-qc #math-ph #math.MP
paper · pdf · doi:10.1007/s10509-008-9883-7
published as Astrophysics and Space Science, vol. 317, no. 3.(2008)-pp. 231-234 · 7 pages,no figures,RevTex, Typos corrected and references added
openalex publication_date 2008/08/26 · arxiv created 2009/03/05 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Using a static massive spherically symmetric scalar field coupled to gravity in the Schwarzschild-de Sitter (SdS) background, first we consider some asymptotic solutions near horizon and their local equations of state(E.O.S) on them. We show that near cosmological and event horizons our scalar field behaves as a dust. At the next step near two pure de-Sitter or Schwarzschild horizons we obtain a coupling dependent pressure to energy density ratio. In the case of a minimally couplling this ratio is -1 which springs to the mind thermodynamical behavior of dark energy. If having a negative pressure behavior near these horizons we concluded that the coupling constant must be ξ<1/4 >. Therefore we derive a new constraint on the value of our coupling ξ . These two different behaviors of unique matter in the distinct regions of spacetime at present era can be interpreted as a phase transition from dark matter to dark energy in the cosmic scales and construct a unified scenario.