Gauge-invariant description of weak gravitational field on a spherically symmetric background with cosmological constant

We present a formalism for analysis of linear Cauchy data on a Kottler metric. Our approach is based on the ADM formulation of the problem of evolution. It removes redundancy due to gauge transformations and geometric constraints. A set of four gauge-invariant, scalar functions on the Cauchy surface...

Full description

Saved in:
Bibliographic Details
Published in:Classical and quantum gravity 2019-11, Vol.36 (21), p.215006
Main Authors: Waluk, Piotr, Jezierski, Jacek
Format: Article
Language:English
Subjects:
ADM data
Cauchy problem
Kottler metric
linearized gravity
quasi-locality
Schwarzschild-de Sitter metric
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:We present a formalism for analysis of linear Cauchy data on a Kottler metric. Our approach is based on the ADM formulation of the problem of evolution. It removes redundancy due to gauge transformations and geometric constraints. A set of four gauge-invariant, scalar functions on the Cauchy surface is produced and shown to contain full physical information from the initial data. The symplectic form of the theory and equations of motion are reformulated in terms of these invariants and an expression for the energy and angular momentum of the perturbation is produced. We also obtain a basic classification of stationary solutions.
ISSN:0264-9381
1361-6382
DOI:10.1088/1361-6382/ab42c8