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The Z=Z(t/z)-Type Plane Wave Solutions of the Field Equations of General Relativity in a Plane Symmetric Space-Time |
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| Authors: | S R Bhoyar R S Rane S D Katore A G Deshmukh |
| Institution: | 1. Department of Mathematics, College of Agriculture, Darwha, 445 202, India 2. Department of Mathematics, Yashwantrao Chavan College of Science, Mangrulpir, Washim, 444403, India 3. Department of Mathematics, Sant Gadgebaba Amravati University, Amravati, 444603, India 4. Department of Mathematics, Govt. Vidarbha Institute of Science and Humanities, Amravati, India 5. Nagpur Division, Higher Education, Nagpur, 440022, India |
| Abstract: | Taub (Ann. Math., 53:472?C490, 1951) has studied plane symmetry in Riemannian space-time by considering empty space-time admitting a three parameter group of motions. In this paper, we have deduced the line element of such a space-time for Z=Z(t/z)-type plane gravitational waves using suitable transformations following the concept of Takeno (Sci. Rep. Inst. Theor. Phys. Hiroshima Univ. 1, 1961), Lal and Ali (Tensor 20:281?C302, 1969). Furthermore it has been shown that the deduced space-time admit plane wave solutions of the field equations of general relativity containing electromagnetic terms. Also we have studied electromagnetic field except gauge transformation with particular cases with respect to ??. |
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