Global structure of Black Holes via dynamical system
arXiv:1411.2601 · doi:10.1088/0264-9381/32/10/105006
Abstract
We recast the system of Einstein field equations for Locally Rotationally Symmetric spacetimes into an autonomous system of covariantly defined geometrical variables. The analysis of this autonomous system gives all the important global features of the maximal extension of these spacetimes. We conclude that the dynamical system analysis can be a powerful mathematical tool for qualitative understanding of the global structure of spacetimes covariantly, without actually solving the field equations.
arXiv comment13 pages, 9 figures
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Cited by in corpus (4)
- Static Spherically Symmetric Einstein-aether models II: Integrability and the Modified Tolman-Oppenheimer-Volkoff approach
- Static Spherically Symmetric Einstein-aether models I: Perfect fluids with a linear equation of state and scalar fields with an exponential self-interacting potential
- Global structure of static spherically symmetric solutions surrounded by quintessence
- Phase space of static wormholes sustained by an isotropic perfect fluid