# Dynamic of charged planar geometry in tilted and non-tilted frames

## Abstract

We investigate the dynamics of charged planar symmetry with an anisotropic matter field subject to a radially moving observer called a tilted observer. The Einstein-Maxwell field equations are used to obtain a relation between non-tilted and tilted frames and between kinematical and dynamical quantities. Using the Taub mass formalism and conservation laws, two evolution equations are developed to analyze the inhomogeneities in the tilted congruence. It is found that the radial velocity (due to the tilted observer) and the electric charge have a crucial effect on the inhomogeneity factor. Finally, we discuss the stability in the non-tilted frame in the pure diffusion case and examine the effects of the electromagnetic field.

- Authors:

- University of the Punjab, Department of Mathematics (Pakistan)

- Publication Date:

- OSTI Identifier:
- 22472263

- Resource Type:
- Journal Article

- Journal Name:
- Journal of Experimental and Theoretical Physics

- Additional Journal Information:
- Journal Volume: 120; Journal Issue: 5; Other Information: Copyright (c) 2015 Pleiades Publishing, Inc.; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 1063-7761

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; ANISOTROPY; CONSERVATION LAWS; DIFFUSION; EINSTEIN-MAXWELL EQUATIONS; ELECTRIC CHARGES; ELECTROMAGNETIC FIELDS; EVOLUTION; RADIAL VELOCITY; STABILITY; SYMMETRY

### Citation Formats

```
Sharif, M., E-mail: msharif.math@pu.edu.pk, and Zaeem Ul Haq Bhatti, M., E-mail: mzaeem.math@pu.edu.pk.
```*Dynamic of charged planar geometry in tilted and non-tilted frames*. United States: N. p., 2015.
Web. doi:10.1134/S1063776115050076.

```
Sharif, M., E-mail: msharif.math@pu.edu.pk, & Zaeem Ul Haq Bhatti, M., E-mail: mzaeem.math@pu.edu.pk.
```*Dynamic of charged planar geometry in tilted and non-tilted frames*. United States. doi:10.1134/S1063776115050076.

```
Sharif, M., E-mail: msharif.math@pu.edu.pk, and Zaeem Ul Haq Bhatti, M., E-mail: mzaeem.math@pu.edu.pk. Fri .
"Dynamic of charged planar geometry in tilted and non-tilted frames". United States. doi:10.1134/S1063776115050076.
```

```
@article{osti_22472263,
```

title = {Dynamic of charged planar geometry in tilted and non-tilted frames},

author = {Sharif, M., E-mail: msharif.math@pu.edu.pk and Zaeem Ul Haq Bhatti, M., E-mail: mzaeem.math@pu.edu.pk},

abstractNote = {We investigate the dynamics of charged planar symmetry with an anisotropic matter field subject to a radially moving observer called a tilted observer. The Einstein-Maxwell field equations are used to obtain a relation between non-tilted and tilted frames and between kinematical and dynamical quantities. Using the Taub mass formalism and conservation laws, two evolution equations are developed to analyze the inhomogeneities in the tilted congruence. It is found that the radial velocity (due to the tilted observer) and the electric charge have a crucial effect on the inhomogeneity factor. Finally, we discuss the stability in the non-tilted frame in the pure diffusion case and examine the effects of the electromagnetic field.},

doi = {10.1134/S1063776115050076},

journal = {Journal of Experimental and Theoretical Physics},

issn = {1063-7761},

number = 5,

volume = 120,

place = {United States},

year = {2015},

month = {5}

}

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