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THE PROPERTIES AND STABILITY OF SELF-GRAVITATING, POLYTROPIC SPHERES WITH gamma=1 TO 1.4 SPECIFIC HEAT RATIOS

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Author(s):
Raga, A. C. ; Osorio-Caballero, J. A. ; Chan, R. S. ; Esquivel, A. ; Rodriguez-Gonzalez, A. ; Lora, V ; Rodriguez Ramirez, J. C.
Total Authors: 7
Document type: Journal article
Source: REVISTA MEXICANA DE ASTRONOMIA Y ASTROFISICA; v. 56, n. 1, p. 8-pg., 2020-04-01.
Abstract

We study self-gravitating, hydrostatic spheres with a polytropic equation of state P proportional to rho(gamma) (where gamma is the specific heat ratio of the gas), considering structures with gamma approximate to 1 as a model for molecular cloud cores with small departures from isothermality. We derive the properties (i.e., mass, radius and center to edge density ratio) as a function of gamma for the maximal stable sphere through an application of \Bonnor's stability criterion". We find that in the gamma = 1 -> 4/3 range the mass of the maximal sphere (for a given central temperature) is almost constant, and that its radius and center to edge density ratio are growing functions of gamma. We therefore have maximal stable, self-gravitating spheres with similar masses, but with increasing center to edge density contrasts for increasing departures from isothermality. (AU)

FAPESP's process: 17/12188-5 - Study of relativistic particles and high energy emissions around black hole and jet sources through MHD, particle-in-cell (PIC) and radiative transfer
Grantee:Juan Carlos Rodríguez Ramírez
Support Opportunities: Scholarships in Brazil - Post-Doctoral