Conformal Einstein equation and symplectic flux with a positive cosmological constant
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| Format: | Preprint |
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2025
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| _version_ | 1866917010217107456 |
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| author | Hoque, Sk Jahanur Krtouš, Pavel Peón-Nieto, Carlos |
| author_facet | Hoque, Sk Jahanur Krtouš, Pavel Peón-Nieto, Carlos |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_20845 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Conformal Einstein equation and symplectic flux with a positive cosmological constant Hoque, Sk Jahanur Krtouš, Pavel Peón-Nieto, Carlos General Relativity and Quantum Cosmology High Energy Physics - Theory 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. |
| title | Conformal Einstein equation and symplectic flux with a positive cosmological constant |
| topic | General Relativity and Quantum Cosmology High Energy Physics - Theory |
| url | https://arxiv.org/abs/2504.20845 |