Self‐gravito‐acoustic waves and their instabilities in a self‐gravitating degenerate quantum plasma system

Abstract

A self‐gravitating degenerate quantum plasma (SGDQP) system containing degenerate electron and light nucleus species along with extremely low‐dense heavy‐nucleus species is considered. The existence of new degenerate pressure‐driven self‐gravito‐acoustic (DPDSGA) waves in this SGDQP system is found, and their dispersion properties along with stable and unstable parametric regimes are identified. The DPDSGA waves emit from this SGDQP system due to the compression and rarefaction (and vice‐versa) of the perturbed state of it. Its compression is due to the inward poll of degenerate electron and light nucleus species by the self‐gravitational attractive pressures, whereas its rarefaction is due to the outward degenerate pressures exerted by the degenerate electron and light nucleus species. The DPDSGA waves are new because they completely disappear if the electron and light nucleus degeneracies are neglected. The DPDSGA waves exist in the SGDQP system that occurs in astrophysical compact objects like white dwarfs [H. M. Van Horn, Science 252, 384 (1991); D. Koester, Astron. Astrophys. Rev. 11, 33 (2002)].