2001/08/11 by J. Hwang, Jai-chan Hwang, Hyerim Noh +1
Biochemistry, Genetics and Molecular Biology · Mathematics · Physics and Astronomy · #Adiabatic process #Black Holes and Theoretical Physics #Classical mechanics #Cosmology #Cosmology and Gravitation Theories #Dark energy #Exponential function #Field (mathematics) #Geomagnetism and Paleomagnetism Studies #Geometry #Mathematical analysis #Mathematics #Perturbation (astronomy) #Physics #Quantum mechanics #Quintessence #Scalar (mathematics) #Scalar field #Scaling #Statistical physics #astro-ph
paper · pdf · doi:10.1103/physrevd.64.103509
published as Phys.Rev.D64:103509,2001 · 5 pages, to appear in Phys. Rev. D
arxiv created 2001/08/11 · openalex publication_date 2001/10/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
A scalar field with an exponential potential allows a scaling solution where the density of the field follows the density of the dominating fluid. Such a scaling regime is often used as an important ingredient in many models of quintessence. We analyze the evolution of perturbations while the background follows the scaling. As a result, the perturbed scalar field also scales with the perturbed fluid, and the perturbations accompany the adiabatic mode as well as the isocurvature mode between the fluid and the field.