2007/03/12 by David Brizuela, José M. Martín-García, Jose M. Martin-Garcia +2 · 2 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Classical mechanics #Computer science #Construct (python library) #Cosmology and Gravitation Theories #Gauge (firearms) #Gauge theory #Invariant (physics) #Mathematical physics #Mathematics #Metric (unit) #Noncommutative and Quantum Gravity Theories #Perturbation (astronomy) #Physics #Pure mathematics #Quantum mechanics #Spacetime #Theoretical physics #gr-qc
paper · pdf · doi:10.1103/physrevd.76.024004
published as Phys.Rev.D76:024004,2007
arxiv created 2007/03/12 · openalex publication_date 2007/07/10 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We complete the formulation of a general framework for the analysis of high-order nonspherical perturbations of a four-dimensional spherical spacetime by including a gauge-invariant description of the perturbations. We present a general algorithm to construct these invariants and provide explicit formulas for the case of second-order metric perturbations. We show that the well-known problem of lack of invariance for the first-order perturbations with l=0, 1 propagates to increasing values of l for perturbations of higher order, owing to mode coupling. We also discuss in which circumstances it is possible to construct the invariants.