We report the existence of a critical dimension d_c = 9.96404372... for the self-gravitating radiation (photon star) in general relativity. It has a relatively fundamental origin as it solely results from the Einstein equations and the Stefan-Boltzmann law. Above this dimension, the oscillations of the mass-central energy density relation M(?0) disappear and the series of equilibria is stable until the end. Comparatively, the critical dimensions for isothermal Newtonian stars and stiff stars are d_c = 10 and d_c = 9 respectively.
展开▼
