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Fluxes and charges in de Sitter

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In this talk we will discuss the definition of conserved quantities in asymptotically locally de Sitter spacetimes. One may define an analogue of holographic charges both at future and past infinity and at other Cauchy surfaces, as integrals over the intersection of timelike surfaces C and these Cauchy surfaces. In general these charges depend on the choice of timelike surface C but if gravitational flux is absent the charges are conserved quantities, independent of the choice of timelike surface. If there is net gravitational flux entering or leaving the spacetime region bounded by two timelike surfaces and two Cauchy surfaces, this may be characterised in terms of a corresponding change in charge. We illustrate these discussions using examples such as Kerr de Sitter black holes and Kerr Robinson-Trautmann solutions.

This talk is part of the Theoretical Physics Colloquium series.

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