×
Baleanu, D.; Başkal, S.

Dual metrics and nongeneric supersymmetries for a class of Siklos space-times. (English) Zbl 1026.83065

Int. J. Mod. Phys. A 17, No. 26, 3737-3747 (2002).
The authors investigate the connection between the Killing-Yano tensor fields, the nongeneric supercharges and the dual spacetimes. Geometrical applications are given for the pp-wave metric and for Siklos spacetimes. It is proved that there exists a class of Siklos spacetimes admitting dual metrics and nongeneric supercharges.
Reviewer: Gabriel Teodor Pripoae (Bucureşti)

Cited in 6 Documents

MSC:

83E50 Supergravity
53C80 Applications of global differential geometry to the sciences
83C35 Gravitational waves

Keywords:

Killing-Yano tensor; nongeneric supercharge; dual metrics; Siklos spacetime; nonflat pp-wave; exact solutions
PDFBibTeX XMLCite
\textit{D. Baleanu} and \textit{S. Başkal}, Int. J. Mod. Phys. A 17, No. 26, 3737--3747 (2002; Zbl 1026.83065)
Full Text: DOI arXiv

References:

[1] DOI: 10.2307/1969782 · Zbl 0046.40002 · doi:10.2307/1969782
[2] Berezin F. A., Nuovo Cimento 35 pp 377– (1976) · doi:10.1007/BF02730291
[3] Gibbons G. W., Nucl. Phys. 404 pp 559– (1993) · Zbl 1043.83545 · doi:10.1016/0550-3213(93)90472-2
[4] DOI: 10.1016/0370-2693(94)01358-J · doi:10.1016/0370-2693(94)01358-J
[5] DOI: 10.1088/0264-9381/16/7/325 · Zbl 0939.58025 · doi:10.1088/0264-9381/16/7/325
[6] Visinescu M., J. Math. Phys. 33 pp 4383– (2001) · Zbl 0990.53043 · doi:10.1088/0305-4470/33/23/312
[7] DOI: 10.1016/0550-3213(95)00086-8 · Zbl 0990.53500 · doi:10.1016/0550-3213(95)00086-8
[8] DOI: 10.1103/PhysRev.174.1559 · Zbl 0167.56301 · doi:10.1103/PhysRev.174.1559
[9] Carter B., Phys. Rev. 19 pp 1093– (1979)
[10] DOI: 10.1016/0550-3213(96)00206-4 · Zbl 0996.53520 · doi:10.1016/0550-3213(96)00206-4
[11] DOI: 10.2748/tmj/1178243184 · Zbl 0174.53401 · doi:10.2748/tmj/1178243184
[12] Collinson C. D., Tensor 28 pp 173– (1974)
[13] DOI: 10.1088/0264-9381/14/7/008 · Zbl 0884.53063 · doi:10.1088/0264-9381/14/7/008
[14] DOI: 10.1007/BF00672392 · Zbl 0624.53042 · doi:10.1007/BF00672392
[15] DOI: 10.1006/aphy.1998.5870 · Zbl 0918.53029 · doi:10.1006/aphy.1998.5870
[16] DOI: 10.1142/S0217732301003218 · doi:10.1142/S0217732301003218
[17] Tanimoto M., Phys. Rev. 50 pp 2595– (1994)
[18] Baleanu D., Helv. Phys. Acta 72 pp 171– (1999)
[19] DOI: 10.1063/1.1339218 · Zbl 1061.83012 · doi:10.1063/1.1339218
[20] DOI: 10.1023/A:1026724824465 · Zbl 0993.83010 · doi:10.1023/A:1026724824465
[21] DOI: 10.1023/A:1001940916000 · Zbl 0988.83016 · doi:10.1023/A:1001940916000
[22] Baleanu D., Mod. Phys. Lett. 15 pp 319– (2000) · Zbl 0967.83028 · doi:10.1142/S0217732300001924
[23] DOI: 10.1088/0264-9381/15/3/019 · Zbl 0914.53052 · doi:10.1088/0264-9381/15/3/019
[24] DOI: 10.1088/0264-9381/17/3/302 · Zbl 1140.83330 · doi:10.1088/0264-9381/17/3/302
[25] DOI: 10.1007/BF01328918 · doi:10.1007/BF01328918
[26] DOI: 10.1088/0264-9381/15/10/023 · Zbl 0933.83011 · doi:10.1088/0264-9381/15/10/023
[27] DOI: 10.1143/PTP.102.803 · doi:10.1143/PTP.102.803
[28] DOI: 10.1093/qmath/1.1.69 · Zbl 0036.38303 · doi:10.1093/qmath/1.1.69
[29] DOI: 10.1007/BF02723348 · doi:10.1007/BF02723348
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.