The stability of relativistic gas spheres

Details The stability of relativistic gas spheres The stability of relativistic gas spheres

Jan 1983

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1983mnras.202..159g&link_type=abstract

Monthly Notices of the Royal Astronomical Society, vol. 202, Jan. 1983, p. 159-171. Research supported by the Natural Sciences

Mathematics

4

Jeans Theory, Magnetohydrodynamic Stability, Plasma Oscillations, Relativistic Plasmas, Spherical Plasmas, Stellar Models, Adiabatic Conditions, Eigenvalues, Matrices (Mathematics), Perturbation Theory, Plasma Equilibrium, Polytropic Processes, Radial Velocity, Schwarzschild Metric, Space-Time Functions, Star Clusters, Stellar Oscillations

Scientific paper

The eigenvalue problem for linear adiabatic radial perturbations of relativistic gas spheres is presented in a tridiagonal matrix formulation. Two classes of relativistic polytropes are studied. Curves of marginal stability are found in the (n, q) parameter plane, where n is the polytropic index and q is the ratio of central pressure to density. Jeans' criterion for relativistic gas spheres is established and a local, purely general relativistic, instability is exposed. It is also shown that the sign of the binding energy is unrelated to stability against small perturbations.

Affiliated with

Also associated with

No associations

Rating

The stability of relativistic gas spheres does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with The stability of relativistic gas spheres, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The stability of relativistic gas spheres will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-1197804