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arXiv · 2504.20845

Conformal Einstein equation and symplectic flux with a positive cosmological constant

Sk Jahanur Hoque·Pavel Krtouš·Carlos Peón-Nieto
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Abstract

We analyze the conformal Einstein equation with a positive cosmological constant to extract fall-off conditions of the gravitational fields. The fall-off conditions are consistent with a finite, non-trivial presymplectic current on the future boundary of de Sitter. Hence our result allows a non-zero gravitational flux across the boundary of the de Sitter. We present an explicit gauge-free computation to show that the Gibbons-Hawking boundary term, counterterm in the action, and fall-off condition of gravitational field in conformal Einstein equation are crucial to reproduce the finite symplectic flux.

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Sk Jahanur Hoque, Pavel Krtouš, Carlos Peón-Nieto. 2025-04-29. Conformal Einstein equation and symplectic flux with a positive cosmological constant. https://arxiv.org/abs/2504.20845

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