English

An evolution of adiabatic matter: A case for the quasistatic regime

General Relativity and Quantum Cosmology 2015-06-16 v1

Abstract

We establish the connection between the standard ADM 3+1 treatment of matter with its characteristic equivalent, in the context of spherical symmetry. The flux-conservative rendition of the fluid equations are obtained. Considering adiabatic distributions of perfect fluid, we evolve the system using the so-called post-quasi-static approximation in radiation coordinates. We obtain an adiabatic matter evolution in the quasi-static regime or slow motion, which is not shear-free nor geodesic.

Keywords

Cite

@article{arxiv.1308.0077,
  title  = {An evolution of adiabatic matter: A case for the quasistatic regime},
  author = {W. Barreto},
  journal= {arXiv preprint arXiv:1308.0077},
  year   = {2015}
}

Comments

19 pages; 8 figure; to appear in GRG