Classical General Relativity Effects to Second Order in Mass, Spin, and Quadrupole Moment
arXiv:1901.07541
Abstract
In this contribution, we calculate the light deflection, perihelium shift, time delay and gravitational redshift using an approximate metric that contains the Kerr metric and an approximaction of the Erez-Rosen spacetime. The results were obtained directly using Mathematica. The results agree with the ones presented in the literature, but they are extended until second order terms of mass, angular momentum and mass quadrupole.
References in corpus (4)
- Detection of the gravitational redshift in the orbit of the star S2 near the Galactic centre massive black hole
- Measurement of the spin of the M87 black hole from its observed twisted light
- Gravitational bending of light by planetary multipoles and its measurement with microarcsecond astronomical interferometers
- A new general relativistic contribution to Mercury's perihelion advance