Some invariant solutions of field equations with axial symmetry for empty space containing an electrostatic field. (English) Zbl 1410.35228
Summary: The system of partial differential equations corresponding to a line element with axial symmetry for empty space containing an electrostatic field has been examined. The symmetries of field equations are obtained to derive some ansatz leading to the reduction of variables and some exact solutions are furnished by considering the optimal system.
MSC:
| 35Q60 | PDEs in connection with optics and electromagnetic theory |
| 83C50 | Electromagnetic fields in general relativity and gravitational theory |
| 78A30 | Electro- and magnetostatics |
References:
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