Conformal Einstein equation and symplectic flux with a positive cosmological constant

Article

Conformal Einstein equation and symplectic flux with a positive cosmological constant

Hoque S. J.; Krtouš P.; Peón-Nieto C.

Class. Quantum Grav. 42, 205003 (2025)

doi ↗ arXiv:2504.20845 ↗

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.

Institute authors

Supported by

EH22_010/0008115 — MSCA Fellowships CZ - UK2
GACR 22-14791S — Černoděrové prostoročasy v obecné dimenzi, jejich vlastnosti a interpretace

BibTeX

@article{UTF1024,
  author        = {Hoque S. J. and Krtouš P. and Peón-Nieto C.},
  title         = {{Conformal Einstein equation and symplectic flux with a positive cosmological constant}},
  journal       = {Class. Quantum Grav.},
  volume        = {42},
  pages         = {205003},
  year          = {2025},
  doi           = {10.1088/1361-6382/ae09ea},
  eprint        = {2504.20845},
  archivePrefix = {arXiv},
}