ZhETF, Vol. 147,
No. 5,
p. 942 (May 2015)
(English translation - JETP,
Vol. 120, No. 5,
p. 813,
May 2015
available online at www.springer.com
)
DYNAMICS OF CHARGED PLANAR GEOMETRY IN TILTED AND NONTILTED FRAMES
Sharif M., Zaeem M., Ul Haq Bhatti
Received: October 29, 2014
DOI: 10.7868/S0044451015050080
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 nontilted 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 nontilted frame in the pure diffusion case and examine the effects of the electromagnetic field.
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