Kinematic Self-Similar Heat Conducting and Charge Solutions

M. Sharif；Wajiha Javed

Chinese Journal of Physics

48卷5期（2010 / 10 / 01）

546 - 559

英文

The objective of this paper is to study the plane symmetric kinematic self-similar heat conducting fluid and charge dust solutions of the Einstein field equations. These solutions are classified according to self-similarity of the first, second, zeroth, and infinite kinds with different equations of state. We take the self-similar vector to be tilted, orthogonal, and parallel to the fluid flow. For a heat conducting fluid, it is found that there exist only one solution in the parallel case. For all the other possibilities, these solutions reduce to the perfect fluid kinematic self-similar solutions. For the charged dust case, we also obtain only one kinematic self-similar solution.