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Published in:
2014 | OriginalPaper | Chapter
Revisiting Hartle’s Model for Relativistic Rotating Stars
Authors : Borja Reina, Raül Vera
Published in: Progress in Mathematical Relativity, Gravitation and Cosmology
Publisher: Springer Berlin Heidelberg
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Abstract
The key paper that has served as the basis for the models describing the equilibrium configuration of a rotating isolated compact body using perturbation theory in General Relativity is due to Hartle (Astrophys J 150:1005–1029, 1967). Apart from a number of very restrictive explicit assumptions on the interior, the construction of the perturbed configuration hides some seemingly important implicit assumptions. In this work we focus on the study of these implicit assumptions, and therefore, on the rigorousness of the model. In order to do that we use a relatively recent framework following a proper theoretical analysis of a completely general perturbative approach to second order around static configurations of the exterior (asymptotically flat) vacuum problem of stationary and axisymmetric bodies with arbitrary matter content.