# Motion of particles in the field of a naked singularity of Kasner type with complex or equal exponents

## Abstract

Two exact solutions (metrics) of the gravitational equations are investigated. It is shown that one is axisymmetric and can be obtained from the Weyl metric, and that the other describes a strong gravitational wave of zero frequency in vacuum or around an infinitely long and thin naked singularity of Kasner type. This wave attracts a particle to the singularity or repels it from the singularity, depending on the sign of one of the terms of its metric. The motion of particles in the fields of the two metrics is investigated.

- Authors:

- Publication Date:

- Research Org.:
- L. D. Landau Institute of Theoretical Physics, USSR Academy of Sciences

- OSTI Identifier:
- 5811386

- Alternate Identifier(s):
- OSTI ID: 5811386

- Resource Type:
- Journal Article

- Journal Name:
- Sov. Phys. - JETP (Engl. Transl.); (United States)

- Additional Journal Information:
- Journal Volume: 49:2

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; GRAVITATIONAL FIELDS; EQUATIONS OF MOTION; METRICS; GRAVITATION; SINGULARITY; DIFFERENTIAL EQUATIONS; EQUATIONS 657003* -- Theoretical & Mathematical Physics-- Relativity & Gravitation

### Citation Formats

```
Parnovskii, S.L.
```*Motion of particles in the field of a naked singularity of Kasner type with complex or equal exponents*. United States: N. p., 1979.
Web.

```
Parnovskii, S.L.
```*Motion of particles in the field of a naked singularity of Kasner type with complex or equal exponents*. United States.

```
Parnovskii, S.L. Thu .
"Motion of particles in the field of a naked singularity of Kasner type with complex or equal exponents". United States.
```

```
@article{osti_5811386,
```

title = {Motion of particles in the field of a naked singularity of Kasner type with complex or equal exponents},

author = {Parnovskii, S.L.},

abstractNote = {Two exact solutions (metrics) of the gravitational equations are investigated. It is shown that one is axisymmetric and can be obtained from the Weyl metric, and that the other describes a strong gravitational wave of zero frequency in vacuum or around an infinitely long and thin naked singularity of Kasner type. This wave attracts a particle to the singularity or repels it from the singularity, depending on the sign of one of the terms of its metric. The motion of particles in the fields of the two metrics is investigated.},

doi = {},

journal = {Sov. Phys. - JETP (Engl. Transl.); (United States)},

number = ,

volume = 49:2,

place = {United States},

year = {1979},

month = {2}

}

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