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arXiv · 2411.16215

The $SO(1,4)$ flux-balance laws of de Sitter at quadrupolar order

Geoffrey Compère·Sk Jahanur Hoque·Emine Şeyma Kutluk
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Abstract

The linear solution for quadrupolar perturbations around de Sitter spacetime was recently constructed. In this paper, we provide the flux-balance laws for each background symmetry (dilatations, rotations, spatial translations and cosmological boosts) in terms of source moments at quadrupolar order. We write the dilatation flux-balance law in two distinct ways, which allows to contrast two distinct proposals for the negative definite energy flux. The standard Poincar\'e flux balance laws at future null infinity are recovered in the flat limit of the $SO(1,4)$ flux-balance laws.

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Geoffrey Compère, Sk Jahanur Hoque, Emine Şeyma Kutluk. 2024-11-25. The $SO(1,4)$ flux-balance laws of de Sitter at quadrupolar order. https://arxiv.org/abs/2411.16215

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