Gauge Invariant Variables in Two-Parameter Nonlinear Perturbations

Details Gauge Invariant Variables in Two-Parameter Nonlinear Perturbations Gauge Invariant Variables in Two-Parameter Nonlinear Perturbations

2003-03-24

arxiv.org/abs/gr-qc/0303090v4

Prog.Theor.Phys. 110 (2003) 723-755

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

33 pages, 1 figure, PTPTeX ver.0.8 (LateX2e), Accepted for Publication to Progress of Theoretical Physics. Typos and trivial m

Scientific paper

10.1143/PTP.110.723

The procedure to find gauge invariant variables for two-parameter nonlinear perturbations in general relativity is considered. For each order metric perturbation, we define the variable which is defined by the appropriate combination with lower order metric perturbations. Under the gauge transformation, this variable is transformed in the manner similar to the gauge transformation of the linear order metric perturbation. We confirm this up to third order. This implies that gauge invariant variables for higher order metric perturbations can be found by using a procedure similar to that for linear order metric perturbations. We also derive gauge invariant combinations for the perturbation of an arbitrary physical variable, other than the spacetime metric, up to third order.

Affiliated with

Also associated with

No associations

Rating

Gauge Invariant Variables in Two-Parameter Nonlinear Perturbations 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 Gauge Invariant Variables in Two-Parameter Nonlinear Perturbations, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Gauge Invariant Variables in Two-Parameter Nonlinear Perturbations will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-448919