Atlas of Coordinate Charts on de Sitter Spacetime

Abstract

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.

References in corpus (10)

• New Coordinates for de Sitter Space and de Sitter Radiation
• de Sitter special relativity
• Explicit Fermi Coordinates and Tidal Dynamics in de Sitter and Goedel Spacetimes
• On Beltrami Model of de Sitter Spacetime
• Casimir energy-momentum tensor for a brane in de Sitter spacetime
• de Sitter Relativity: a New Road to Quantum Gravity?
• Doubly special relativity and translation invariance
• Fields of accelerated sources: Born in de Sitter
• On Bogoliubov Transformation of Scalar Wave Functions in De Sitter Space
• Discrete O(1,4) transformations and new scalar quantum modes on the de Sitter spacetime

Cited by in corpus (4)

• The Momentum Spaces of $\kappa$-Minkowski noncommutative spacetime
• Maxwell-Juttner distribution for rigidly-rotating flows in spherically symmetric spacetimes using the tetrad formalism
• Accelerated frames in de Sitter spacetime
• Instantons for particles joined by strings in three dimensional gravity