An approach to the quasi-equilibrium state of a self-gravitating system
arXiv:2107.05012 · doi:10.1016/j.physletb.2022.137334
Abstract
We propose an approach to find out when a self-gravitating system is in a quasi-equilibrium state. This approach is based on a comparison between two quantities identifying behavior of the system: a measure of interactions intensity and the area. Gravitational scattering cross section of the system, defined by using the two-particle scattering cross section formula, is considered as the measure of interactions intensity here. A quasi-equilibrium state of such system is considered as a state when there is a balance between these two quantities. As a result, we obtain an equation which relates density and temperature for such a system in the non-relativistic classical limit. This equation is consistent with the TOV equation as expected.
10 pages
References in corpus (6)
- Stable and causal relativistic Navier-Stokes equations
- Graviton Physics
- Violation of the Zeroth Law of Thermodynamics in Systems with Negative Specific Heat
- Null Surface Thermodynamics
- Entropy production and Vlasov equation for self-gravitating systems
- Properties of self-gravitating quasi-stationary states