The general axially symmetric static solution of Einstein’s vacuum field equations

Author:

Abstract

The general solution in closed form, including all the static axisymmetric solutions of Weyl, is presented in the canonical coordinates ρ and z of his line element. This general solution is constructed from an arbitrary function f ( z ), which coincides with his potential function along the axis of symmetry. To illustrate how the solution may be used, a particular function f , one resulting from a Newtonian solution, is used to find both the potential function and its associated function in the line element.

Publisher

The Royal Society

Subject

Pharmacology (medical)

Cited by 6 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Accelerated frames and galactic rotation curves;Modern Physics Letters A;2019-09-06

2. Multipole Moments in General Relativity —Static and Stationary Vacuum Solutions—;Fortschritte der Physik/Progress of Physics;1990

3. On the exterior gravitational field of a mass with a multipole moment;General Relativity and Gravitation;1987-10

4. Canonical solution of the equations of axisymmetric gravitation including time dependence;Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences;1987-05-08

5. Solitary wave solutions to the Einstein equations;Journal of Mathematical Physics;1985-02

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