Conserved Quantities in Lemaitre-Tolman-Bondi Cosmology

Abstract

We study linear perturbations to a Lema{\^ı}tre-Tolman-Bondi (LTB) background spacetime. Studying the transformation behaviour of the perturbations under gauge transformations, we construct gauge invariant quantities. We show, using the perturbed energy conservation equation, that there are conserved quantities in LTB, in particular a spatial metric trace perturbation, ζ_{SMTP}, which is conserved on all scales. We then briefly extend our discussion to the Lema{\^ı}tre spacetime, and construct gauge-invariant perturbations in this extension of LTB spacetime.

16 pages, 0 figures, revtex4; v5: minor changes, additional 2+2 formalism appendix added, references added, version accepted by CQG

References in corpus (7)

• A field-theory motivated approach to symbolic computer algebra
• CMB anisotropies seen by an off-center observer in a spherically symmetric inhomogeneous universe
• Living in a Void: Testing the Copernican Principle with Distant Supernovae
• Can we avoid dark energy?
• Precision cosmology defeats void models for acceleration
• Linear kinetic Sunyaev-Zel'dovich effect and void models for acceleration
• Halo abundances and shear in void models

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