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• W2767744498 abstract "We investigate the impact of an external pressure on the structure of self-gravitating polytropes for axially symmetric ellipsoids and rings. The confinement of the fluid by photons is accounted for through a boundary condition on the enthalpy H. Equilibrium configurations are determined numerically from a generalized ‘self-consistent-field’ method. The new algorithm incorporates an intraloop re-scaling operator |${cal R}(H)$|⁠, which is essential for both convergence and getting self-normalized solutions. The main control parameter is the external-to-core enthalpy ratio. In the case of uniform rotation rate and uniform surrounding pressure, we compute the mass, the volume, the rotation rate and the maximum enthalpy. This is repeated for a few polytropic indices, n. For a given axial ratio, overpressurization globally increases all output quantities, and this is more pronounced for large n. Density profiles are flatter than in the absence of an external pressure. When the control parameter asymptotically tends to unity, the fluid converges towards the incompressible solution, whatever the index, but becomes geometrically singular. Equilibrium sequences, obtained by varying the axial ratio, are built. States of critical rotation are greatly exceeded or even disappear. The same trends are observed with differential rotation. Finally, the typical response to a photon point source is presented. Strong irradiation favours sharp edges. Applications concern star-forming regions and matter orbiting young stars and black holes." @default.
• W2767744498 created "2017-11-17" @default.
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• W2767744498 date "2017-11-10" @default.
• W2767744498 modified "2023-09-27" @default.
• W2767744498 title "The equilibrium of overpressurized polytropes" @default.
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• W2767744498 doi "https://doi.org/10.1093/mnras/stx2886" @default.
• W2767744498 hasPublicationYear "2017" @default.
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