The static spherically symmetric body in relativistic elasticity

Abstract

In this paper is discussed a class of static spherically symmetric solutions of the general relativistic elasticity equations. The main point of discussion is the comparison of two matter models given in terms of their stored energy functionals, i.e., the rule which gives the amount of energy stored in the system when it is deformed. Both functionals mimic (and for small deformations approximate) the classical Kirchhoff-St.Venant materials but differ in the strain variable used. We discuss the behavior of the systems for large deformations.

19 pages, 8 figures

References in corpus (5)

• Relativistic Elasticity
• Elastic Stars in General Relativity: II. Radial perturbations
• Elastic Stars in General Relativity: III. Stiff ultrarigid exact solutions
• Static Solutions of the Einstein Equations for Spherically Symmetric Elastic Bodies
• Relativistic Elastostatics I: Bodies in Rigid Rotation

Cited by in corpus (9)

• Rotating elastic bodies in Einstein gravity
• Spherically symmetric elastic bodies in general relativity
• Scale invariant elastic stars in General Relativity
• Relativistic Elasticity II
• The Electrodynamics of Inhomogeneous Rotating Media and the Abraham and Minkowski Tensors I: General Theory
• Elastic shocks in relativistic rigid rods and balls
• Rigid elastic solids in relativity
• Compact elastic objects in general relativity
• Elastic thick shells in General Relativity