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

Autor(es)

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]

Afiliação do(s) autor(es)

^[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

• Tipo de documento: Artigo Científico
• Fonte: REVISTA MEXICANA DE ASTRONOMIA Y ASTROFISICA; v. 56, n. 1, p. 55-62, 2021-03-19.

Resumo

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)

• Processo FAPESP: 17/12188-5 - Estudo de partículas relativísticas e emissões de alta energia em torno de fontes de buracos negros e jatos por meio de simulações MHD, partículas-em-células (PIC) e transferência radiativa
• Beneficiário: Juan Carlos Rodríguez Ramírez
• Modalidade de apoio: Bolsas no Brasil - Pós-Doutorado