Geodesic
Proper conformal Killing vectors in static plane symmetric
Teoretičeskaâ i matematičeskaâ fizika, Tome 191 (2017) no. 1, pp. 172-182 Cet article a éte moissonné depuis la source Math-Net.Ru

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Conformal Killing vectors (CKVs) in static plane symmetric space–times were recently studied by Saifullah and Yazdan, who concluded by remarking that static plane symmetric space–times do not admit any proper CKV except in the case where these space–times are conformally flat. We present some non-conformally flat static plane symmetric space–time metrics admitting proper CKVs. For these space–times, we also investigate a special type of CKVs, known as inheriting CKVs.
Keywords: Killing vector, homothetic vector, conformal Killing vector, conformally flat space–time. 
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T. Hussain; S. Khan; A. H. Bokhari; G. A. Khan. Proper conformal Killing vectors in static plane symmetric. Teoretičeskaâ i matematičeskaâ fizika, Tome 191 (2017) no. 1, pp. 172-182. http://geodesic.mathdoc.fr/item/TMF_2017_191_1_a10/

[1] H. Stephani, D. Kramer, M. Maccallum, C. Hoenselears, E. Herlt, Exact Solutions of Einstein's Field Equations, Cambridge Univ. Press, Cambridge, 2003 | MR | Zbl

[2] G. S. Hall, Symmetries and Curvature Structure in General Relativity, World Scientific Lecture Notes in Physics, 46, World Sci., Singapore, 2004 | DOI | MR

[3] M. Tsamparlis, A. Paliathanasis, L. Karpathopoulos, “Exact solutions of Bianchi I spacetimes which admit conformal Killing vectors”, Gen Relativ. Gravit., 47:2 (2015), 15, 21 pp. | DOI | MR | Zbl

[4] R. Maartens, D. P. Mason, M. Tsamparlis, “Kinematic and dynamic properties of conformal Killing vectors in anisotropic fluids”, J. Math. Phys., 27:12 (1986), 2987–2994 | DOI | MR | Zbl

[5] R. Marteens, S. D. Maharaj, B. O. J. Tupper, “Conformal motions in static spherical spacetimes”, Class. Quantum Grav., 13:2 (1996), 317–318 | DOI | MR

[6] A. A. Coley, B. O. J. Tupper, “Affine conformal vectors in space-time”, J. Math. Phys., 33:5 (1992), 1754–1764 | DOI | MR

[7] A. A. Coley, B. O. J. Tupper, “Spacetimes admitting inheriting conformal Killing vector fields”, Class. Quantum Grav., 7:11 (1990), 1961–1981 | DOI | MR | Zbl

[8] R. Maartens, S. D. Maharaj, “Conformal Killing vectors in Robertson–Walker spacetimes”, Class. Quantum Grav., 3:5 (1986), 1005–1011 | DOI | MR | Zbl

[9] G. S. Hall, J. D. Steele, “Conformal vector fields in general relativity”, J. Math. Phys., 32:7 (1991), 1847–1853 | DOI | MR | Zbl

[10] S. Moopanar, S. D. Maharaj, “Relativistic shear-free fluids with symmetry”, J. Eng. Math., 82:1 (2013), 125–131 | DOI | MR | Zbl

[11] R. Marteens, S. D. Maharaj, B. O. J. Tupper, “General solution and classification of conformal motions in static spherical spacetimes”, Class. Quantum Grav., 12:10 (1995), 2577–2586 | DOI | MR

[12] G. S. Hall, M. S. Capocci, “Classification and conformal symmetry in three-dimensional space-times”, J. Math. Phys., 40:3 (1999), 1466–1478 | DOI | MR | Zbl

[13] D. Kramer, J. Carot, “Conformal symmetry of perfect fluids in general relativity”, J. Math. Phys., 32:7 (1991), 1857–1860 | DOI | MR | Zbl

[14] G. S. Hall, J. Carot, “Conformal symmetries in null Einstein–Maxwell fields”, Class. Quantum Grav., 11:2 (1994), 475–480 | DOI | MR | Zbl

[15] R. Marteens, S. D. Maharaj, “Conformal symmetries of $pp$-waves”, Class. Quantum Grav., 8:3 (1991), 503–514 | DOI | MR

[16] J. Castejón-Amenedo, A. A. Coley, “Exact solutions with conformal Killing vector fields”, Class. Quantum Grav., 9:10 (1992), 2203–2215 | DOI | MR | Zbl

[17] K. Saifullah, Shair-E-Yazdan, “Conformal motions in plane symmetric static space-times”, Internat. J. Modern Phys. D, 18:1 (2009), 71–81 | DOI | MR | Zbl