Second Post-Minkowskian Metric for a Moving Kerr Black Hole
arXiv:2007.13329 · doi:10.1142/S0218271814500795
Abstract
The harmonic metric for a moving Kerr black hole is presented in the second post-Minkowskian approximation. It is further demonstrated that the obtained metric is consistent with the Liénard-Wiechert gravitational potential for a moving and spinning source with an arbitrary constant velocity. Based on the metric, we also give the post-Newtonian equations of motion for photon and massive test particle in the time-dependent gravitational field.
References in corpus (17)
- Lorentz Covariant Theory of Light Propagation in Gravitational Fields of Arbitrary-Moving Bodies
- Gravitomagnetic Effects in the Propagation of Electromagnetic Waves in Variable Gravitational Fields of Arbitrary-Moving and Spinning Bodies
- Gravitational bending of light by planetary multipoles and its measurement with microarcsecond astronomical interferometers
- Effect of Peculiar Motion in Weak Lensing
- Astrometric Effects of Secular Aberration
- Gravimagnetism, Causality, and Aberration of Gravity in the Gravitational Light-Ray Deflection Experiments
- Deflection of light and particles by moving gravitational lenses
- Light Propagation in the Gravitational Field of Moving Bodies by means of Lorentz Transformation. I. Mass monopoles moving with constant velocities
- M31 pixel lensing event OAB-N2: a study of the lens proper motion
- Gravitational lensing by spinning and escaping lenses
- Numerical Simulations of the Light Propagation in the Gravitational Field of Moving Bodies
- Gravimagnetic effect of the barycentric motion of the Sun and determination of the post-Newtonian parameter gamma in the Cassini experiment
- Roto-translational Effects on Deflection of Light and Particle by Moving Kerr Black Hole
- The effect of the motion of the Sun on the light-time in interplanetary relativistic experiments
- On gravitational lensing by deflectors in motion
- On the two approaches to the data analysis of the Cassini interplanetary relativity experiment
- Kinematic effect in gravitational lensing by clusters of galaxies