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Asymptotics of Killing horizons: A Characterization in de Sitter Spacetime
Abstract
We prove that (n + 1)-dimensional de Sitter spacetime is locally the unique (Λ> 0)-vacuum spacetime whose Killing horizons intersect the conformal boundary ℐ. The intersection occurs at the isolated essential zeros of the extension of the Killing vector field to ℐ. We then reconstruct all de Sitter Killing vector fields from their boundary value and obtain a characterization of those admitting a Killing horizon in terms of a conformal invariant σ: σ<0 characterizes non-degenerate bifurcate horizons, whereas σ= 0 yields degenerate non-bifurcate horizons. Finally, we derive an intrinsic, conformally invariant formula for the surface gravity of the horizons in de Sitter, κ2 = |σ|.
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BibTeX
@misc{peonnieto2026asymptotics,
title = {{Asymptotics of Killing horizons: A Characterization in de Sitter Spacetime}},
author = {Carlos Peón-Nieto},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.37427},
eprint = {2609.37427},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.37427},
}
RIS
TY - UNPB
TI - Asymptotics of Killing horizons: A Characterization in de Sitter Spacetime
AU - Carlos Peón-Nieto
PY - 2026
DA - 2026/09/29
PB - arXiv
DO - 10.48550/arxiv.2609.37427
UR - https://arxiv.org/abs/2609.37427
AB - We prove that (n + 1)-dimensional de Sitter spacetime is locally the unique (Λ> 0)-vacuum spacetime whose Killing horizons intersect the conformal boundary ℐ. The intersection occurs at the isolated essential zeros of the extension of the Killing vector field to ℐ. We then reconstruct all de Sitter Killing vector fields from their boundary value and obtain a characterization of those admitting a Killing horizon in terms of a conformal invariant σ: σ<0 characterizes non-degenerate bifurcate horizons, whereas σ= 0 yields degenerate non-bifurcate horizons. Finally, we derive an intrinsic, conformally invariant formula for the surface gravity of the horizons in de Sitter, κ^2 = |σ|.
ER -