de Sitter Spacetime: Geometry, Causal Structure, and Quantum Fields
Abstract
de~Sitter spacetime plays a central role in modern cosmology, providing an excellent approximation to both inflation and the present accelerated expansion. It also offers a particularly simple setting in which gravity, spacetime symmetry, and quantum field theory depart qualitatively from their Minkowski-space counterparts. These lecture notes introduce de Sitter spacetime, from its geometry and symmetries to quantum fields and perturbations on a fixed 3+1-dimensional de Sitter background. We cover coordinate systems, causal structure, unitary representations, particle production in time-dependent backgrounds, and cosmological perturbations, with emphasis on physical interpretation, applications to cosmology, and how curvature reshapes the notions of mass, vacuum, particles, and late-time observables.
Related
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- Higher Dimensional Loop Quantum Black hole in de Sitter Spacetime: Quasinormal Modes and Shadow Signatures
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- Nonoscillatory gravitational quasinormal modes of Reissner–Nordström–de Sitter spacetime
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BibTeX
@misc{maleknejad2026sitter,
title = {{de Sitter Spacetime: Geometry, Causal Structure, and Quantum Fields}},
author = {Azadeh Maleknejad and Ethan Richardson},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.30453},
eprint = {2609.30453},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.30453},
}
RIS
TY - UNPB
TI - de Sitter Spacetime: Geometry, Causal Structure, and Quantum Fields
AU - Azadeh Maleknejad
AU - Ethan Richardson
PY - 2026
DA - 2026/09/24
PB - arXiv
DO - 10.48550/arxiv.2609.30453
UR - https://arxiv.org/abs/2609.30453
AB - de~Sitter spacetime plays a central role in modern cosmology, providing an excellent approximation to both inflation and the present accelerated expansion. It also offers a particularly simple setting in which gravity, spacetime symmetry, and quantum field theory depart qualitatively from their Minkowski-space counterparts. These lecture notes introduce de Sitter spacetime, from its geometry and symmetries to quantum fields and perturbations on a fixed 3+1-dimensional de Sitter background. We cover coordinate systems, causal structure, unitary representations, particle production in time-dependent backgrounds, and cosmological perturbations, with emphasis on physical interpretation, applications to cosmology, and how curvature reshapes the notions of mass, vacuum, particles, and late-time observables.
ER -