Abstract
Gravitational perturbations of the Schwarzschild metric are treated from a point of view which is adapted, in a natural way, to the gauge group of the perturbed Einstein equations. The metric perturbations are explicitly decomposed into their gauge invariant, gauge dependent and constrained parts and a variational principle for the perturbation equations is derived. The Regge-Wheeler and Zerilli equations are rederived and shown to have a gauge invariant significance. The Hamiltonian for the perturbations is constructed and used to discuss the stability properties of the Schwarzschild black hole.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
