Physics NotePublished
On the Axisymmetric Lewis Metric
J. Gariel; G. Marcilhacy; N. O. Santos
2001
Publication details
- Authors
- J. Gariel; G. Marcilhacy; N. O. Santos
- Type
- Physics Note
- Status
- Published
- Publication date
- 2001
- Description
- We obtain the general solution of the axisymmetric stationary vacuum spacetime of Lewis. After precising the fundamental hypothesis of Lewis, we demonstrate that the solution is related to an arbitrary harmonic function. Formally, these solutions are the same as for the corresponding cylindrically symmetric case, and can be classified in a similar way. Furthermore, the interpretation, in the cylindrically symmetric system, of the field equations as describing the motion of a classical particle in a central force field is still valid. We conjecture that one of the solutions represent a distorted black hole.
- Year
- 2001
- Number
- CBPF-NF-016/01
- Linked to a thesis
- No
- Linked to a grant
- No