Classifying self-gravitating radiations
arXiv:1601.02720 · doi:10.1103/PhysRevD.95.044021
Abstract
We study a static system of self-gravitating radiations confined in a sphere by using numerical and analytical calculations. Due to the scaling symmetry of radiations, most of main properties of a solution can be represented as a segment of a solution curve on a plane of two-dimensional scale invariant variables. We define an `approximate horizon' (AH) from the analogy with an apparent horizon. Any solution curve contains a unique point which corresponds to the AH. A given solution is uniquely labelled by three parameters representing the solution curve, the size of the AH, and the sphere size, which are an alternative of the data at the outer boundary. Various geometrical properties including the existence of an AH and the behaviors around the center can be identified from the parameters. We additionally present an analytic solution of the radiations on the verge of forming a blackhole. Analytic formulae for the central mass of the naked singularity are given.
12 pages, 5 figures, minor changes, to appear in Phys. Rev. D
References in corpus (5)
- Excluding Black Hole Firewalls with Extreme Cosmic Censorship
- Relativistic stars with a linear equation of state: analogy with classical isothermal spheres and black holes
- Firewalls, black-hole thermodynamics, and singular solutions of the Tolman-Oppenheimer-Volkoff equation
- Entropy of gravitating systems: scaling laws versus radial profiles
- General proof of the entropy principle for self-gravitating fluid in static spacetimes
Cited by in corpus (7)
- Linearised conformal Einstein field equations
- Classification theorem and properties of singular solutions to the Tolman-Oppenheimer-Volkoff equation
- Entropy of Self-Gravitating Anisotropic Matter
- Phase Transition of the Horava-Lifshitz AdS black holes
- Heat capacity of a self-gravitating spherical shell of radiations
- Thermodynamics and phase transitions of black holes in contact with a gravitating heat bath
- Growth of a Black Hole on a Self-Gravitating Radiation