High-order gauge-invariant perturbations of a spherical spacetime
Abstract
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.
- Publication:
-
Physical Review D
- Pub Date:
- July 2007
- DOI:
- 10.1103/PhysRevD.76.024004
- arXiv:
- arXiv:gr-qc/0703069
- Bibcode:
- 2007PhRvD..76b4004B
- Keywords:
-
- 04.25.Nx;
- 04.20.Cv;
- 95.30.Sf;
- Post-Newtonian approximation;
- perturbation theory;
- related approximations;
- Fundamental problems and general formalism;
- Relativity and gravitation;
- General Relativity and Quantum Cosmology
- E-Print:
- Phys. Rev. D76 (2007) 024004