Exact Fermi coordinates for a class of spacetimes
arXiv:0912.2779 · doi:10.1063/1.3298684
Abstract
We find exact Fermi coordinates for timelike geodesic observers for a class of spacetimes that includes anti-de Sitter spacetime, de Sitter spacetime, the constant density interior Schwarzschild spacetime with positive, zero, and negative cosmological constant, and the Einstein static universe. Maximal charts for Fermi coordinates are discussed.
15 pages
References in corpus (6)
- Energy-momentum tensor for a Casimir apparatus in a weak gravitational field
- Does the cosmological constant imply the existence of a minimum mass?
- General Transformation Formulas for Fermi-Walker Coordinates
- A Statistical Mechanical Problem in Schwarzschild Spacetime
- Timelike Killing Fields and Relativistic Statistical Mechanics
- A simple criterion for nonrotating reference frames
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