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On the gravitational field of static and stationary axial symmetric bodies with multi-polar structure

Patricio S. Letelier
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Abstract

We give a physical interpretation to the multi-polar Erez-Rozen-Quevedo solution of the Einstein Equations in terms of bars. We find that each multi-pole correspond to the Newtonian potential of a bar with linear density proportional to a Legendre Polynomial. We use this fact to find an integral representation of the $γ$ function. These integral representations are used in the context of the inverse scattering method to find solutions associated to one or more rotating bodies each one with their own multi-polar structure.

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Patricio S. Letelier. 1998-12-03. On the gravitational field of static and stationary axial symmetric bodies with multi-polar structure. https://doi.org/10.1088/0264-9381%2F16%2F4%2F010

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