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(Reference retrieved automatically from SciELO through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

The Properties and Stability of Self-Gravitating, Polytropic Spheres with γ =1 to 1.4 Specific Heat Ratios

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Author(s):
A.C. Raga [1] ; J. A. Osorio-Caballero [2] ; R. S. Chan [3] ; A. Esquivel [4] ; A. Rodríguez-González [5] ; V. Lora [6] ; J. C. Rodríguez Ramírez [7]
Total Authors: 7
Affiliation:
[1] Universidad Nacional Autónoma de México. Instituto de Ciencias Nucleares - México
[2] Universidad Nacional Autónoma de México. Instituto de Ciencias Nucleares - México
[3] Universidad Nacional Autónoma de México. Instituto de Ciencias Nucleares - México
[4] Universidad Nacional Autónoma de México. Instituto de Ciencias Nucleares - México
[5] Universidad Nacional Autónoma de México. Instituto de Ciencias Nucleares - México
[6] Universidad Nacional Autónoma de México. Instituto de Radioastronomía y Astrofísica Teórica - México
[7] Universidade de São Paulo. Instituto de Astronomia, Geofísica e Ciências Atmosféricas - Brasil
Total Affiliations: 7
Document type: Journal article
Source: REVISTA MEXICANA DE ASTRONOMIA Y ASTROFISICA; v. 56, n. 1, p. 55-62, 2021-03-19.
Abstract

ABSTRACT We study self-gravitating, hydrostatic spheres with a polytropic equation of state ECUACION (where γ is the specific heat ratio of the gas), considering structures with γ ≈ 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 for the maximal stable sphere through an application of \Bonnor's stability criterion". We find that in the γ ≈ 1 = 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 . 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