# A Class of General Solutions of the Maxwell Equations in the Kerr Space-Time

## Abstract

We consider null one-way electromagnetic fields in the Petrov type 𝒟 space-time and in the Kerr spacetime. In the class of these fields, the general solution of the Maxwell equations is obtained.

- Authors:

- Ukrainian National Academy of Sciences, Pidstryhach Institute for Applied Problems in Mechanics and Mathematics (Ukraine)

- Publication Date:

- OSTI Identifier:
- 22771556

- Resource Type:
- Journal Article

- Journal Name:
- Journal of Mathematical Sciences

- Additional Journal Information:
- Journal Volume: 229; Journal Issue: 2; Other Information: Copyright (c) 2018 Springer Science+Business Media, LLC, part of Springer Nature; http://www.springer-ny.com; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 1072-3374

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; 97 MATHEMATICAL METHODS AND COMPUTING; ELECTROMAGNETIC FIELDS; KERR FIELD; MATHEMATICAL SOLUTIONS; MAXWELL EQUATIONS; SPACE-TIME

### Citation Formats

```
Pelykh, V. O., and Taistra, Yu. V..
```*A Class of General Solutions of the Maxwell Equations in the Kerr Space-Time*. United States: N. p., 2018.
Web. doi:10.1007/S10958-018-3668-5.

```
Pelykh, V. O., & Taistra, Yu. V..
```*A Class of General Solutions of the Maxwell Equations in the Kerr Space-Time*. United States. doi:10.1007/S10958-018-3668-5.

```
Pelykh, V. O., and Taistra, Yu. V.. Thu .
"A Class of General Solutions of the Maxwell Equations in the Kerr Space-Time". United States. doi:10.1007/S10958-018-3668-5.
```

```
@article{osti_22771556,
```

title = {A Class of General Solutions of the Maxwell Equations in the Kerr Space-Time},

author = {Pelykh, V. O. and Taistra, Yu. V.},

abstractNote = {We consider null one-way electromagnetic fields in the Petrov type 𝒟 space-time and in the Kerr spacetime. In the class of these fields, the general solution of the Maxwell equations is obtained.},

doi = {10.1007/S10958-018-3668-5},

journal = {Journal of Mathematical Sciences},

issn = {1072-3374},

number = 2,

volume = 229,

place = {United States},

year = {2018},

month = {2}

}

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