General spherically symmetric elastic stars in Relativity
arXiv:0911.1425 · doi:10.1007/s10714-010-0980-x
Abstract
The relativistic theory of elasticity is reviewed within the spherically symmetric context with a view towards the modeling of star interiors possessing elastic properties such as theones expected in neutron stars. Emphasis is placed on generality in the main sections of the paper, and the results are then applied to specific examples. Along the way, a few general results for spacetimes admitting isometries are deduced, and their consequences are fully exploited in the case of spherical symmetry relating them next to the the case in which the material content of the spacetime is some elastic material. This paper extends and generalizes the pioneering work by Magli and Kijowski [1], Magli [2] and [3], and complements, in a sense, that by Karlovini and Samuelsson in their interesting series of papers [4], [5] and [6].
23 pages
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- Rotating elastic string loops in flat and black hole spacetimes: stability, cosmic censorship and the Penrose process
- New modeling for hybrid stars with an elastic quark core
- Static conformal elastic solution of Einstein's field equations
- Elastic shocks in relativistic rigid rods and balls
- Rigid elastic solids in relativity
- Elastic thick shells in General Relativity