Collinson, C. D.; Da Grace Lopes Rodrigues Vaz, Estelita Mappings of empty space-times leaving the curvature tensor invariant. (English) Zbl 0486.53046 Gen. Relativ. Gravitation 14, 5-15 (1982). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 9 Documents MSC: 53C50 Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics 83C20 Classes of solutions; algebraically special solutions, metrics with symmetries for problems in general relativity and gravitational theory Keywords:Ricci tensor; empty space-time metric; Petrov type PDFBibTeX XMLCite \textit{C. D. Collinson} and \textit{E. Da Grace Lopes Rodrigues Vaz}, Gen. Relativ. Gravitation 14, 5--15 (1982; Zbl 0486.53046) Full Text: DOI References: [1] Pirani, F. A. E. (1956).Acta Phys. Polon.,15, 389. [2] Szekeres, P. (1965).J. Math. Phys.,6, 1387. · Zbl 0142.24009 · doi:10.1063/1.1704788 [3] McIntosh, C. B. G., and Haiford, W. D.J. Math. Phys. (to appear). [4] Collinson, C. D. (1970).J. Math. Phys.,11, 818. · doi:10.1063/1.1665215 [5] Brinkman, H. W. (1925).Math. Ann.,94, 119. · JFM 51.0568.03 · doi:10.1007/BF01208647 [6] Newman, E., and Penrose, R. (1962).J. Math. Phys.,3, 565. [7] Collinson, C. D. (1969).J. Phys. A,2, 621. · Zbl 0182.59902 · doi:10.1088/0305-4470/2/6/001 [8] Kundt, W. (1961).Z. Phys.,163, 77. · doi:10.1007/BF01328918 [9] Robinson, I., and Trautman, A. (1962).Proc. R. Soc. London Ser. A,265, 463. · Zbl 0099.42902 · doi:10.1098/rspa.1962.0036 [10] Hlavatý, V. (1959).J. Math. Mech.,8, 285. [11] Hlavatý, V. (1959).J. Math. Mech.,8, 597. [12] Hlavatý, V. (1960).J. Math. Mech.,9, 89. [13] Hlavatý, V. (1960).J. Math. Mech.,9, 453. [14] Hlavaty, V. (1961).J. Math. Mech.,10, 317. [15] Hlavatý, V. (1962).J. Math. Mech.,11, 35. [16] Ihrig, E. (1975).J. Math. Phys.,16, 54. · doi:10.1063/1.522414 [17] Ihrig, E. (1975).Int. J. Theor. Phys.,14, 23. · Zbl 0323.53021 · doi:10.1007/BF01807989 [18] Ihrig, E. (1976).Gen Rel. Grav.,7, 313. · Zbl 0351.53041 · doi:10.1007/BF00768531 [19] McIntosh, C. B. G., and Halford, W. D.J. Phys. A,14, 2331 (1981). · Zbl 0469.53026 · doi:10.1088/0305-4470/14/9/027 [20] McIntosh, C. B. G., and Hall, G. preprint. [21] Halford, W. D., McIntosh, C. G. G., and Van Leeuwen, E. H. (1980).J. Phys. A,13, 2995. · doi:10.1088/0305-4470/13/9/026 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.