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Atlas of Coordinate Charts on de Sitter Spacetime

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arxiv 1211.2363 v1 pith:B7NR33V6 submitted 2012-11-11 gr-qc math-phmath.MP

classification gr-qcmath-phmath.MP
keywords coordinateatlaschartsformframesitterspacetimeadditional
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The de Sitter manifold admits a wide variety of interesting coordinatizations. The 'atlas' is a compilation of the coordinate charts referenced throughout the literature, and is presented in the form of tables, the starting point being the embedding in a higher-dimensional Minkowski spacetime. The metric tensor and the references where the coordinate frame is discussed or used in applications are noted. Additional information is given for the entries with significant use: a convenient tetrad and the form taken by the Killing vectors in the respective coordinate frame.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Forces parallel to particle trajectories in relativistic gravity

    gr-qc 2025-07 reject novelty 2.0 of 10

    A pedagogical note claims that parallel forces in cosmology and scalar-tensor gravity can be reparametrized away, but its claim that such forces occur generally in Einstein frame scalar-tensor gravity relies on an inv...

  2. De Sitter Representations

    hep-th 2026-06 unverdicted

    Review of so(1,D) representations for de Sitter space across all D, covering mixed symmetry and fermions, connected to propagating fields.

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