A generalization of the Zerilli master variable for a dynamical spherical spacetime. (28th May 2015)

• Record Type: Journal Article
• Authors: Brizuela, David
• Is Part Of: Classical and quantum gravity. Volume 32:Number 13(2015:Jul.)
• Publication Date: 2015-05-28
• Subjects: perturbation theory -- master variables -- sperical symmetry; Quantum gravity -- Periodicals; Gravitation -- Periodicals; Relativity (Physics) -- Periodicals; Space and time -- Periodicals; Periodicals; 521.1
• DOI: 10.1088/0264-9381/32/13/135005
• Languages: English
• ISSNs: 0264-9381

Abstract

Abstract: The evolution of polar perturbations on a spherical background spacetime is analyzed. The matter content is assumed to be a massless scalar field. This provides a nontrivial dynamics to the background and the linearized equations of motion become much more involved than in the vacuum case. The analysis is performed in a Hamiltonian framework, which makes explicit the dynamical role of each of the variables. After performing a number of canonical transformations, it is possible to completely decouple the different perturbative degrees of freedom into constrained, pure-gauge and gauge-invariant variables. In particular, two master variables are obtained: one corresponding to the polar mode of the gravitational wave, whereas the other encodes the complete physical information about the perturbative matter degree of freedom. The evolution equations for these master variables are obtained and simplified.