Self-adjoint wave equations for dynamical perturbations of self-gravitating fields

Details Self-adjoint wave equations for dynamical perturbations of self-gravitating fields Self-adjoint wave equations for dynamical perturbations of self-gravitating fields

2000-10-19

arxiv.org/abs/gr-qc/0010067v1

Phys.Rev. D63 (2001) 104015

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

18 pages, no figures

Scientific paper

10.1103/PhysRevD.63.104015

It is shown that the dynamical evolution of linear perturbations on a static space-time is governed by a constrained wave equation for the extrinsic curvature tensor. The spatial part of the wave operator is manifestly elliptic and self-adjoint. In contrast to metric formulations, the curvature-based approach to gravitational perturbation theory generalizes in a natural way to self-gravitating matter fields. It is also demonstrated how to obtain symmetric pulsation equations for self-gravitating non-Abelian gauge fields, Higgs fields and perfect fluids. For vacuum fluctuations on a vacuum space-time, the Regge-Wheeler and Zerilli equations are rederived.

Affiliated with

Also associated with

No associations

Rating

Self-adjoint wave equations for dynamical perturbations of self-gravitating fields does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Self-adjoint wave equations for dynamical perturbations of self-gravitating fields, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Self-adjoint wave equations for dynamical perturbations of self-gravitating fields will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-397175