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An approximate global solution to the gravitational field of a perfect fluid in slow rotation

J. A. Cabezas·E. Ruiz
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Abstract

Using the Post-Minkowskian formalism and considering rotation as a perturbation, we compute an approximate interior solution for a stationary perfect fluid with constant density and axial symmetry. A suitable change of coordinates allows this metric to be matched to the exterior metric to a particle with a pole-dipole-quadrupole structure, relating the parameters of both.

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J. A. Cabezas, E. Ruiz. 2006-11-20. An approximate global solution to the gravitational field of a perfect fluid in slow rotation. https://arxiv.org/abs/gr-qc/0611099

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