Fermi coordinates in Schwarzschild spacetime: closed form expressions

Abstract

Fermi coordinates are constructed as exact functions of the Schwar\-zschild coordinates around the world line of a static observer in the equatorial plane of the Schwarzschild spacetime modulo a single impact parameter determined implicitly as a function of the latter coordinates. This illustrates the difficulty of constructing explicit exact Fermi coordinates even along simple world lines in highly symmetric spacetimes.

16 pages, 3 figures; published version

References in corpus (2)

• Complete analytic solution of the geodesic equation in Schwarzschild--(anti) de Sitter space--times
• Analytic solutions of the geodesic equation in higher dimensional static spherically symmetric space-times

Cited by in corpus (4)

• Fermi coordinates and static observer in Schwarzschild spacetime
• General Construction of Tubular Geometry
• Jacobi Fields and Tidal Effects in Kerr Spacetime
• Relativistic Tidal Accelerations in the Exterior Schwarzschild Spacetime