In this paper, we construct explicitly a multi‐centered metric in 4‐dimensional Lorentzian manifolds. We consider an axial symmetric metric with zero scalar curvature which can be described by Laplace equation. Then, we consider a point source which can be interpreted as a remove point on the manifold. So, the Laplace equation becomes Poisson equation. Finally, we construct explicitly a multi‐centered metric based on solution of the Poisson equation.
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© 2010 American Institute of Physics.
2010
American Institute of Physics
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