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2009

Quasi-local variables and scalar averaging in LTB dust models

Sussman, Roberto A.

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We introduce quasi--local (QL) scalar variables in spherically symmetric LTB models.

If the QL scalars are defined as functionals, they become weighed averages that generalize the standard proper volume averages on space slices orthogonal to the 4-velocity.
We examine the connection between QL functions and functionals and the "back-reaction" term $Q$ in the context of Buchert's scalar averaging formalism.
With the help of the QL scalars we provide rigorous proof that back--reaction is positive for (i) all LTB models with negative and asymptotically negative spatial curvature, and (ii) models with positive curvature decaying to zero asymptotically in the radial direction.

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Then

Moffat J W 2006 J. Cosmol. Astropart. Phys
2007
Later among the works it cites.
Buchert T 2008 Gen. Rel. Grav
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Sussman R A 2008 Quasi–local variables, non–linear perturbations and back–reaction in spherically symmetric spacetimes Preprint
Original
2008
Later among the works it cites.
Sussman R A 2008 On spatial volume averaging in Lemaître–Tolman–Bondi dust models. Part I: back reaction, spacial curvature and binding energy. Preprint
Original
2008
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Sussman R A 2009 Phys.Rev
Original
2009
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Sussman R A 2009 “Asymptotic properties and profiles in the radial direction of regular LTB dust models”. In preparation

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