Kerr metric, static observers and Fermi coordinates
arXiv:gr-qc/0510023 · doi:10.1088/0264-9381/22/22/006
Abstract
The coordinate transformation which maps the Kerr metric written in standard Boyer-Lindquist coordinates to its corresponding form adapted to the natural local coordinates of an observer at rest at a fixed position in the equatorial plane, i.e., Fermi coordinates for the neighborhood of a static observer world line, is derived and discussed in a way which extends to any uniformly circularly orbiting observer there.
15 page latex iopart class document
References in corpus (7)
- Black hole tidal problem in the Fermi normal coordinates
- The intrinsic derivative and centrifugal forces in general relativity: II. Applications to circular orbits in some familiar stationary axisymmetric spacetimes
- The intrinsic derivative and centrifugal forces in general relativity: I. Theoretical foundations
- The Generalized Jacobi Equation
- Ultrarelativistic Motion: Inertial and Tidal Effects in Fermi Coordinates
- Dynamics of Relativistic Flows
- Tidal Dynamics of Relativistic Flows Near Black Holes
Cited by in corpus (20)
- Equatorial circular motion in Kerr spacetime
- Dynamics of Extended Spinning Masses in a Gravitational Field
- Explicit Fermi Coordinates and Tidal Dynamics in de Sitter and Goedel Spacetimes
- Gravito-electromagnetic analogies
- Spacetime dynamics of spinning particles - exact electromagnetic analogies
- Tidal Dynamics in Kerr Spacetime
- General Transformation Formulas for Fermi-Walker Coordinates
- Deviation and precession effects in the field of a weak gravitational wave
- A Statistical Mechanical Problem in Schwarzschild Spacetime
- Fermi coordinates in Schwarzschild spacetime: closed form expressions
- Relativistic model of binary extreme-mass-ratio inspiral systems and their gravitational radiation
- Reference frames in General Relativity and the galactic rotation curves
- C metric: the equatorial plane and Fermi coordinates
- Gravitational clock compass in General Relativity
- All order covariant tubular expansion
- The Ricci Rotation Coefficients in the description of trajectories of spinning test particles off-equatorial planes in a rotational gravitational field
- Numerical solution of Mathisson-Papapetrou-Dixon equations for spinning test particles in a Kerr metric
- Revisiting the gravitomagnetic clock effect
- Extended gravitational clock compass: new exact solutions and simulations
- Is torsion needed in a theory of gravity? A reappraisal