Gravitational Deflection of Massive Particles by a Schwarzschild Black Hole in Radiation Gauge**Supported by the National Natural Science Foundation of China under Grant No. 11647314 and the Research Foundation of Education Department of Hunan Province under Grant No. 18C0427

Abstract

The exact metric of a Schwarzschild black hole in the true radiation gauge was recently reported. In this work, we base on this gravity and calculate the gravitational deflection of relativistic massive particles up to the fourth post-Minkowskian order. It is found that the result is consistent with the previous formulations for both the case of dropping the fourth-order contribution and the case of light deflection. Our result might be helpful for future high-accuracy observations.