Spherically symmetric steady states of John elastic bodies in general relativity
Journal article, 2014

We study some properties of static spherically symmetric elastic bodies in general relativity using both analytical and numerical tools. The materials considered belong to the class of John elastic materials and reduce to perfect fluids when the rigidity parameter is set to zero. We find numerical support that such elastic bodies exist with different possible shapes (balls, single shells and multiple shells) and that their gravitational redshift can be very large (z approximate to 2.8) without violating the dominant energy condition. Moreover we show that the elastic body has finite radius even in the case when the constitutive equation of the elastic material is a perturbation of a polytropic fluid without finite radius, thereby concluding that such fluids are structurally unstable within the larger class of elastic matter models under study.

spherical symmetry

static solutions

elasticity

Author

Håkan Andreasson

Chalmers, Mathematical Sciences, Mathematics

University of Gothenburg

Simone Calogero

Chalmers, Mathematical Sciences, Mathematics

University of Gothenburg

Classical and Quantum Gravity

0264-9381 (ISSN)

Vol. 31 16 Art. no. 165008-

Subject Categories

Physical Sciences

DOI

10.1088/0264-9381/31/16/165008

More information

Created

10/7/2017