Meléndez, Leandro; Chauvet, Pablo A solution to Einstein’s equations for the mixmaster universe in complex general relativity. (English) Zbl 1045.83054 Gen. Relativ. Gravitation 35, No. 11, 2007-2015 (2003). A solution to the Einstein vacuum equations for the mixmaster universe model with no complex extensions is derived, which can be classified as within the complex general relativity. A first integral is performed. Reviewer: Messoud A. Efendiev (Berlin) MSC: 83D05 Relativistic gravitational theories other than Einstein’s, including asymmetric field theories 83F05 Relativistic cosmology Keywords:Einstein’s equations; complex general relativity; cosmology PDFBibTeX XMLCite \textit{L. Meléndez} and \textit{P. Chauvet}, Gen. Relativ. Gravitation 35, No. 11, 2007--2015 (2003; Zbl 1045.83054) Full Text: DOI References: [1] Belinskii, V. A., Khalatnikov, I. M., and Lifshitz, E. [2] Barrow, J. D. and Tipler, F. [3] Belinskii, V. A. and Khalatnikov, I. M. (19 [4] Lifshitz, E. M., Lifshitz, I. M., and Khalatnikov, I. M. (19 [5] Belinskii, V. A. and Khalatnikov, I. M. (19 [6] Bogoyavlenskii, O. I. and Novikov, S. P. (19 [7] Hawking, S. W. and Ellis G. F. [8] Springael, J., Conte, R., and Musette, M. (1998 · Zbl 0913.53047 [9] Misner, C. W. · Zbl 0177.28701 [10] Belinskii, V. A., Khalatnikov, I. M., and Lifshitz, [11] Lifshitz, E. M. and Khalatnikov, [12] Belinskii, V. A. and Khalatnikov, I. M. (19 [13] Belinskii, V. A., Lifshitz, E. M., and Khalatnikov, [14] Khalatnikov, I. M., Lifshitz, E. M., Khanin, K. M., Shchur, L. N., and Sinai, Ya, G [15] Misner, · Zbl 0186.28604 [16] Arnowitt, R. and Dese · Zbl 0083.43201 [17] Arnowitt, R., Deser, S., and Misner, · Zbl 0092.20704 [18] Arnowitt R., Deser S., and Misner C. W. · Zbl 0092.20705 [19] Barrow, J. D. (1982). Phys. Rep. [20] Matzner, R. A., Shepley, L. C., and Warren, [21] Ryan, M. [22] Ryan, M. [23] Moser, R., Matzner, R. A., and Ryan, M. [24] Ferraz, K. and Francisco, [25] Rugh, S. E. and Jones, B. J. [26] Berger, B. K. [27] Zardecki, [28] Cornish, N. J. and Levin, J. J. [29] Chernoff, F. and Barrow, J. D. [30] Lin, X. F. and Wald, R. [31] Latifi, A., Musette, M., and Conte, · Zbl 0959.83508 [32] Maciejewski, A. J. and Szydlowski, M. (1998) · Zbl 0907.58093 [33] Müller, V. and Schmidt, H.-J. [34] Belinskii, V. A., Gibbons, G. W., Page, D. N., and Pope, C. [35] Ashtekar A. [36] Obregn, O., Pullin J., and Ryan, M. [37] Graham, R. · Zbl 0990.83521 [38] Graham, [39] Cotsakis, S., Lemmer, R. L., and Leach, P. G. [40] Newman, E. T. and Winicour, J [41] Lind, R. W. and Newman, E. T [42] Plebanski, J. F [43] Plebanski, J. F. and Hacyan, S · Zbl 0314.53013 [44] Finley, J. D. and Plebanski, J. F [45] Plebanski, J. F. and Schild, A. [46] McIntosh, C. B. G. and Hickman, M. S. · Zbl 0561.53067 [47] Hall, G. S., Hickman, M. S., and McIntoch, C. B. G. · Zbl 0564.53039 [48] Morales-Tcotl, H. A., Urrutia, L. F., and Vergara, J. D. (19 · Zbl 0863.53064 [49] Montesinos, M., Morales-Tcotl, H. A., Urrutia, L. F., and Vergara, J. · Zbl 0946.83045 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.