SHORTCUT METHOD OF SOLUTION OF GEODESIC EQUATIONS FOR SCHWARZSCHILD BLACK HOLE
arXiv:gr-qc/9505010 · doi:10.1088/0264-9381/13/3/007
Abstract
It is shown how the use of the Kerr-Schild coordinate system can greatly simplify the formulation of the geodesic equation of the Schwarzschild solution. An application of this formulation to the numerical computation of the aspect of a non-rotating black hole is presented. The generalization to the case of the Kerr solution is presented too.
arXiv comment11 pages, 2 PostScript figures (available as uuencoded compressed tar file), uses epsfig.tex). Accepted on February 1995 for publication in Classical and Quantum Gravity
Cited by in corpus (24)
- GYOTO: a new general relativistic ray-tracing code
- Measuring Black Hole Spin by the Continuum-Fitting Method: Effect of Deviations from the Novikov-Thorne Disc Model
- Gravitational Lensing by Spinning Black Holes in Astrophysics, and in the Movie Interstellar
- Geometric modeling of M87* as a Kerr black hole or a non-Kerr compact object
- Odyssey: A Public GPU-Based Code for General-Relativistic Radiative Transfer in Kerr Spacetime
- Image of a regular phantom compact object and its luminosity under spherical accretions
- Shadow of a Schwarzschild black hole surrounded by a Bach-Weyl ring
- Relativistic Effects in Extreme Mass Ratio Gravitational Wave Bursts
- Spherical photon orbits in the field of Kerr naked singularities
- Images and Spectral Properties of Two Component Advective Flows Around Black Holes: Effects of Photon Bending
- Seeing Black Holes : from the Computer to the Telescope
- A Dynamical Systems Approach to Schwarzschild Null Geodesics
- Images and Spectra of Time Dependent Two Component Advective Flow in Presence of Outflows
- Seeing relativity -- I. Ray tracing in a Schwarzschild metric to explore the maximal analytic extension of the metric and making a proper rendering of the stars
- Shadow of the magnetically and tidally deformed black hole
- Strong-field gravitational lensing by black holes
- Stability of circular geodesics in equatorial plane of Kerr spacetime
- Gravitational waveform model based on photon motion for spinning black holes
- A full waveform model for arbitrarily axis-symmetric black hole mergers
- Seeing Relativity -- III. Journeying within the Kerr metric toward the negative gravity region
- Seeing relativity -- II. Revisiting and visualizing the Reissner-Nordström metric
- Images of the accretion disk in Hybrid metric-Palatini gravity
- From Black Holes to Cosmology : The Universe in the Computer
- Motion equations in a Kerr-Newman-de Sitter spacetime: some methods of integration and application to black holes shadowing in Scilab