2013/02/28 by Emilio Elizalde, E. Elizalde, Ekaterina O. Pozdeeva +4 · 1 citation
Mathematics · Physics and Astronomy · #Action (physics) #Advanced Differential Geometry Research #Black Holes and Theoretical Physics #Classical mechanics #Conformal map #Cosmological constant #Cosmology and Gravitation Theories #Einstein #Equation of state #Exponential function #Function (biology) #Mathematical analysis #Mathematical physics #Mathematics #Operator (biology) #Physics #Power law #Quantum mechanics #Theoretical physics #Transformation (genetics) #astro-ph.CO #gr-qc #hep-th
paper · pdf · doi:10.1088/1475-7516/2013/07/034
published as JCAP 1307 (2013) 034 · 35 pages, uses jcappub.sty, v2: Sections 3.6 and 4 added, references added, accepted for publication in JCAP
arxiv created 2013/07/03 · openalex publication_date 2013/07/22 · arxiv updated 2013/07/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06
A nonlocal gravity model which does not assume the existence of a new dimensional parameter in the action and includes a function f (□ −1 R ), with □ the d'Alembertian operator, is studied. By specifying an exponential form for the function f and including a matter sector with a constant equation of state parameter, all available power-law solutions in the Jordan frame are obtained. New power-law solutions in the Einstein frame are also probed. Furthermore, the relationship between power-law solutions in both frames, established through conformal transformation, is substantially clarified. The correspondence between power-law solutions in these two frames is proven to be a very useful tool in order to obtain new solutions in the Einstein frame.