Arbitrary-amplitude self-gravitational solitary potential in a degenerate quantum plasma system

Abstract

The basic features of a solitary potential (associated with the self-gravitational field), which are found to exist in a degenerate quantum plasma system (containing heavy nuclei and degenerate electrons), have been investigated by employing the pseudo-potential approach, which is valid for nonlinear structures with arbitrary amplitudes. The small-amplitude limit for such nonlinear structures has also been recovered. The degenerate quantum plasma system under consideration is found to support solitary structures with a negative self-gravitational potential; moreover, the magnitude of the amplitude of the self-gravitational solitary potential structures first increases and then decreases with increasing propagation speed whereas the width of the self-gravitational solitary potential structures increases with increasing speed. The implications of our results in some astrophysical compact objects (such as white dwarfs and neutron stars) are briefly discussed.