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Second order perturbations of rotating bodies in equilibrium; the exterior vacuum problem

Malcolm A. H. MacCallum·Marc Mars·Raul Vera
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Abstract

We study the exterior vacuum problem for first and second order stationary and axially symmetric perturbations of static bodies. The boundary conditions and their compatibility for the existence of an asymptotically flat exterior solution are discussed.

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Malcolm A. H. MacCallum, Marc Mars, Raul Vera. 2005-02-14. Second order perturbations of rotating bodies in equilibrium; the exterior vacuum problem. https://arxiv.org/abs/gr-qc/0502063

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