Comparing results for a global metric from analytical perturbation theory and a numerical code
General Relativity and Quantum Cosmology
2013-02-01 v1 Solar and Stellar Astrophysics
Abstract
We compare the results obtained from analytical perturbation theory and the AKM numerical code for an axistationary spacetime built from matching a rotating perfect fluid interior with the equation of state of the simple MIT bag model and an asymptotically flat exterior. We discuss the behaviour of the error in the metric components of the analytical approximation going to higher orders. Additionally, we check and comment the errors in multipole moments, central pressure and some other physical properties of the spacetime.
Keywords
Cite
@article{arxiv.1301.7423,
title = {Comparing results for a global metric from analytical perturbation theory and a numerical code},
author = {Javier E. Cuchí and Alfred Molina and Eduardo Ruiz},
journal= {arXiv preprint arXiv:1301.7423},
year = {2013}
}
Comments
4 pages, 2 figures, 1 table. Contribution to the conference proceedings of "Progress in Mathematical Relativity, Gravitation and Cosmology", ERE2012, University of Minho, Portugal