Quasi-spherical solution with heat flux and non-adiabatic collapse of radiating star

2003/10/16 by Ujjal Debnath, Soma Nath, Subenoy Chakraborty · 30 citations
Engineering · Physics and Astronomy · #Adiabatic process #Black Holes and Theoretical Physics #Classical mechanics #Cosmology and Gravitation Theories #Fluid Dynamics and Turbulent Flows #Heat flux #Heat transfer #Isotropy #Mechanics #Optics #Physics #Thermodynamics #gr-qc

paper · pdf · doi:10.1007/s10714-005-0010-6

published in General Relativity and Gravitation 37(1), 215-223 (Springer Science+Business Media) · 8 Latex pages, No figures, Revtex style

arxiv created 2003/10/16 · openalex publication_date 2005/01/01 · arxiv updated 2009/12/01 · openalex created_date 2021/02/01 · openalex updated_date 2026/07/29

Abstract

A model is proposed of a collapsing quasi-spherical radiating star with matter content as shear-free isotropic fluid undergoing radial heat-flow with outgoing radiation. To describe the radiation of the system, we have considered both plane symmetric and spherical Vaidya solutions. Physical conditions and thermodynamical relations are studied using local conservation of momentum and surface red-shift. We have found that for existence of radiation on the boundary, pressure on the boundary is not necessary.

Citations

• Relativistic Equations for Adiabatic, Spherically Symmetric Gravitational Collapse
• Quasi-Spherical Gravitational Collapse in Any Dimension
• On Continued Gravitational Contraction
• The Thermodynamics of Irreversible Processes. III. Relativistic Theory of the Simple Fluid

Cited by

• THE EFFECT OF PRESSURE IN HIGHER DIMENSIONAL QUASI-SPHERICAL GRAVITATIONAL COLLAPSE
• GRAVITATIONAL PERFECT FLUID COLLAPSE WITH COSMOLOGICAL CONSTANT