A Positive Energy Theorem for Asymptotically deSitter Spacetimes

Details A Positive Energy Theorem for Asymptotically deSitter Spacetimes A Positive Energy Theorem for Asymptotically deSitter Spacetimes

2002-06-12

arxiv.org/abs/hep-th/0206105v1

Class.Quant.Grav. 19 (2002) 5901-5920

Physics

High Energy Physics

High Energy Physics - Theory

25 pages, 1 figure

Scientific paper

10.1088/0264-9381/19/23/302

We construct a set of conserved charges for asymptotically deSitter spacetimes that correspond to asymptotic conformal isometries. The charges are given by boundary integrals at spatial infinity in the flat cosmological slicing of deSitter. Using a spinor construction, we show that the charge associated with conformal time translations is necessarilly positive and hence may provide a useful definition of energy for these spacetimes. A similar spinor construction shows that the charge associated with the time translation Killing vector of deSitter in static coordinates has both positive and negative definite contributions. For Schwarzshild-deSitter the conformal energy we define is given by the mass parameter times the cosmological scale factor. The time dependence of the charge is a consequence of a non-zero flux of the corresponding conserved current at spatial infinity. For small perturbations of deSitter, the charge is given by the total comoving mass density.

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