Stellar orbits in elliptical galaxies with relativistically active nuclei

In a model galaxy composed of a relativistically active nucleus, a main body, and a halo, all three components considered as homogeneous prolate ellipsoids, the probable association of the internal characteristics of the nucleus and the observed orbits of the stars near the surface of the main body are explored. Using a theoretical framework of post-Newtonian general relativistic galactic dynamics proposed earlier, it is proven that a fast-rotating and possibly expanding or contracting nucleus affects the distribution of the box-type orbits near the surface of the main body resulting in a flattening of the main body. The nuclear rotation always results in a flattening, and the contraction contributes less to the flattening than the expansion. However, the contributions of a rotating and changing nucleus are not additive.