The pulsational properties of high-luminosity degenerate stars with helium burning near the surface.
A sequence of 1 M0 high-luminosity degenerate stellar models has been constructed with helium shell burning near the surface. The models have carbon-oxygen cores and helium envelopes. The luminosities lie in the range 0 < log (LIL0) < 4. Values for periods, eigenfunctions, and stability integrals are presented. The models in the range 0 < log (LIL0) < 3 are unstable in the fundamental mode. All models are stable by a large margin toward first harmonic pulsations. The models may be relevant to pulsating X-ray sources, white dwarfs, and recent discussions of helium accretion. Subject headings: stars: binaries - stars: pulsation - stars: white dwarfs - X-rays: sources