Charges, conserved quantities and fluxes in de Sitter spacetime

Abstract

We discuss the definition of conserved quantities in asymptotically locally de Sitter spacetimes. One may define an analogue of holographic charges at future and past infinity and at other Cauchy surfaces $I_t$ as integrals over the intersection of timelike surfaces $C$ and the Cauchy surface $I_t$. In general, the charges $Q^t$ defined on the Cauchy surface $I_t$ depend on $C$, but if gravitational flux is absent the charges are independent of $C$. On the other hand, if there is a net gravitational flux entering or leaving the spacetime region bounded by $C_1,C_2$ and two Cauchy surfaces then $\Delta Q^t(C_1,C_2)=Q^t(C_1)-Q^t(C_2)$ changes by the same amount.

v3:journal version

References in corpus (10)

• A general framework for gravitational charges and holographic renormalization
• The Cosmological Memory Effect
• Charge Algebra in Al(A)dS${}_n$ Spacetimes
• Gravitational wave memory in $\Lambda$CDM cosmology
• Non-equilibrium dynamics and $Ad{S}_4$ Robinson-Trautman
• Asymptotic Structure with a positive cosmological constant
• Gravitational and electromagnetic fields near a de Sitter-like infinity
• Energy of gravitational radiation in the de Sitter universe at the scri and at a horizon
• Hamiltonian charges in the asymptotically de Sitter spacetimes
• On the canonical energy of weak gravitational fields with a cosmological constant $\Lambda \in \mathbb{R}$

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