2011/02/28 by Lev Kofman, Jean-Philippe Uzan, Jean–Philippe Uzan +1
Mathematics · Physics and Astronomy · #Advanced Differential Geometry Research #Black Holes and Theoretical Physics #Classical mechanics #Cosmology and Gravitation Theories #Euclidean geometry #General relativity #Geometry #Mathematical physics #Mathematics #Mathematics of general relativity #Maxwell's equations in curved spacetime #Perturbation (astronomy) #Physics #Quantum field theory in curved spacetime #Quantum gravity #Quantum mechanics #Riemann curvature tensor #Space time #Spacetime #Spherically symmetric spacetime #Stationary spacetime #Theoretical physics #Weyl tensor #astro-ph.CO #gr-qc
paper · pdf · doi:10.1088/1475-7516/2011/05/011
published as JCAP 1105:011,2011 · 17 pages, 6 figures
arxiv created 2011/03/13 · openalex publication_date 2011/05/10 · arxiv updated 2015/03/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
This article investigates the stability of a generic Kasner spacetime to linear perturbations, both at late and early times. It demonstrates that the perturbation of the Weyl tensor diverges at late time in all cases but in the particular one in which the Kasner spacetime is the product of a two-dimensional Milne spacetime and a two-dimensional Euclidean space. At early times, the perturbation of the Weyl tensor also diverges unless one imposes a condition on the perturbations so as to avoid the most divergent modes to be excited.