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PreprintCC BY 4.0arXiv

The generalized entropy in holographic semiclassical de Sitter spacetime

  • Akihiro Ishibashi
  • Kengo Maeda
  • Takashi Okamura
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Abstract

We consider generalized de Sitter entropy which includes both entanglement entropy of the strongly coupled quantum field and the gravitational Wald entropy in the framework of holographic semiclassical gravity. The quantum corrected de Sitter spacetime is constructed perturbatively by considering static deformations of the classical solution. By applying the Noether charge formula to our semiclassical model, we show that both the renormalized entropies remain finite without introducing a cutoff, even when the bulk AdS gravitational field does not satisfy the Dirichlet boundary condition. We show that the first order variation of the generalized entropy with respect to the de Sitter horizon always vanishes when the conformal boundary metric is promoted to a dynamical variable.

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Cite

BibTeXRIS
BibTeX
@misc{ishibashi2026generalized,
  title = {{The generalized entropy in holographic semiclassical de Sitter spacetime}},
  author = {Akihiro Ishibashi and Kengo Maeda and Takashi Okamura},
  howpublished = {arXiv},
  year = {2026},
  month = nov,
  doi = {10.48550/arxiv.2611.02898},
  eprint = {2611.02898},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2611.02898},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - The generalized entropy in holographic semiclassical de Sitter spacetime
AU  - Akihiro Ishibashi
AU  - Kengo Maeda
AU  - Takashi Okamura
PY  - 2026
DA  - 2026/11/02
PB  - arXiv
DO  - 10.48550/arxiv.2611.02898
UR  - https://arxiv.org/abs/2611.02898
AB  - We consider generalized de Sitter entropy which includes both entanglement entropy of the strongly coupled quantum field and the gravitational Wald entropy in the framework of holographic semiclassical gravity. The quantum corrected de Sitter spacetime is constructed perturbatively by considering static deformations of the classical solution. By applying the Noether charge formula to our semiclassical model, we show that both the renormalized entropies remain finite without introducing a cutoff, even when the bulk AdS gravitational field does not satisfy the Dirichlet boundary condition. We show that the first order variation of the generalized entropy with respect to the de Sitter horizon always vanishes when the conformal boundary metric is promoted to a dynamical variable.
ER  -