# Conserved charges in asymptotically de Sitter spacetimes

## TL;DR

This paper develops a covariant phase space method to define conserved charges in asymptotically de Sitter spacetimes, showing their equivalence to existing definitions and analyzing their properties.

## Contribution

It introduces a covariant phase space construction of de Sitter charges, demonstrating their consistency with previous approaches and clarifying their relationships.

## Key findings

- De Sitter charges match those of ABK.
- ABK charges differ from counterterm charges by a boundary metric constant.
- ABK charges agree with Kelly and Marolf charges when comparable.

## Abstract

We present a covariant phase space construction of hamiltonian generators of asymptotic symmetries with `Dirichlet' boundary conditions in de Sitter spacetime, extending a previous study of J\"ager. We show that the de Sitter charges so defined are identical to those of Ashtekar, Bonga, and Kesavan (ABK). We then present a comparison of ABK charges with other notions of de Sitter charges. We compare ABK charges with counterterm charges, showing that they differ only by a constant offset, which is determined in terms of the boundary metric alone. We also compare ABK charges with charges defined by Kelly and Marolf at spatial infinity of de sitter spacetime. When the formalisms can be compared, we show that the two definitions agree. Finally, we express Kerr-de Sitter metrics in four and five dimensions in an appropriate Fefferman-Graham form.