The general solution for relativistic spherical shells
arXiv:gr-qc/0512089 · doi:10.1142/S0218271809014996
Abstract
The general exact solution of the Einstein-matter field equations describing spherically symmetric shells satisfying an equation of state in closed form is discussed under general assumptions of physical reasonableness. The solutions split into two classes: a class of "astro-physically interesting" solutions describing "ordinary" matter with positive density and pressure, and a class of "phantom-like" solutions with positive density but negative active gravitational mass, which can also be of interest in several "very strong fields" regimes. Known results on linear-barotropic equations of state are recovered as particular cases.
8 pages, 8 figures
References in corpus (7)
- Traversable wormholes from surgically modified Schwarzschild spacetimes
- Role of Modified Chaplygin Gas in Accelerated Universe
- Chaplygin traversable wormholes
- Cylindrical thin-shell wormholes
- Surface stresses on a thin shell surrounding a traversable wormhole
- Thin-shell wormholes in dilaton gravity
- Phantom shell around black hole and global geometry