Evolution equations for a wide range of Einstein-matter systems
arXiv:2005.14678 · doi:10.1007/s10714-020-02759-y
Abstract
We use an orthonormal frame approach to provide a general framework for the first order hyperbolic reduction of the Einstein equations coupled to a fairly generic class of matter models. Our analysis covers the special cases of dust and perfect fluid. We also provide a discussion of self-gravitating elastic matter. The frame is Fermi-Walker propagated and coordinates are chosen such as to satisfy the Lagrange condition. We show the propagation of the constraints of the Einstein-matter system.
References in corpus (8)
- Relativistic Elasticity
- Causality of the Einstein-Israel-Stewart Theory with Bulk Viscosity
- Numerical treatment of the hyperboloidal initial value problem for the vacuum Einstein equations. II. The evolution equations
- A New Approach to Cosmological Bulk Viscosity
- General Bulk-Viscous Solutions and Estimates of Bulk Viscosity in the Cosmic Fluid
- On the well-posedness of relativistic viscous fluids
- Numerical evolution of axisymmetric, isolated systems in General Relativity
- Dynamical compact elastic bodies in general relativity