The Space-Time Properties of Three Static Black Holes

In the curved space-time, neutral test particle is not affected by any other force except for influence of space-time. Similar to free sub in flat space, Lagrangian only contains kinetic energy term—the term four-dimensional case small space-time curvature, linear approximation can be made. That is, under weak field approximation, quantity degenerates into axisymmetric gravitational Newtonian mechanics. this paper, composed equidistant black holes taken as a model. We study geodesic motion particles around three with equal mass and static distribution, including time-like photons. The extreme Reissner–Nordstrom are balanced electrostatic forces. first give equation Three relativistic effective potential, discuss possible state particles, classify their trajectories. Then, special plane (equatorial plane) studied. circular orbits two types symmetric studied, respectively. outside also stability discussed. will show separation distance on explore change potential. relationship between inherent coordinate analyzed. Finally, chaos orbit explored.