×

Conformal Einstein spaces. (English) Zbl 0564.53011

Verff. geben zwei (neue) notwendige und hinreichende Bedingungen dafür an, daß eine Raum-Zeit konform auf einen Einstein-Raum abgebildet werden kann.

MSC:

53B30 Local differential geometry of Lorentz metrics, indefinite metrics
53B50 Applications of local differential geometry to the sciences
83C99 General relativity
PDFBibTeX XMLCite
Full Text: DOI

References:

[1] Brinkman, H. W. (1924).Math. Ann.,91, 269-278. · JFM 50.0504.01 · doi:10.1007/BF01556083
[2] Brinkman, H. W. (1925).Math. Ann.,94, 119-145. · JFM 51.0568.03 · doi:10.1007/BF01208647
[3] Schouten, J. A. (1954). InRicci-Calculus, 2nd. ed. (Springer-Verlag, Berlin), p. 312. · Zbl 0057.37803
[4] Szekeres, P. (1963).Proc. R. Soc., London Ser. A,274, 206-212. · Zbl 0113.44805 · doi:10.1098/rspa.1963.0124
[5] Bach, R. (1921), Math Zeitschrift,9, 110. · JFM 48.1035.01 · doi:10.1007/BF01378338
[6] Geroch, R. (1976). InAsymptotic Structure of Space-Time, P. Esposito and L. Witten, eds. (Plenum, New York).
[7] Pirani, F. A. E. (1965). InBrandeis Lectures in General Relativity (Prentice-Hall, Engle wood Cliffs, New Jersey). · Zbl 0176.55402
[8] Penrose, R. (1960).Ann. Phys., (N.Y.),10, 171. · Zbl 0091.21404 · doi:10.1016/0003-4916(60)90021-X
[9] Newman, E. T., et al. (1965).J. Math. Phys.,6, 918. · doi:10.1063/1.1704351
[10] Du Plessis, J. C. (1970).Proc. Cambridge Philos. Soc.,68, 329. · doi:10.1017/S0305004100046132
[11] Noakes, D. R. (1983).J. Math. Phys.,24, 1846. · Zbl 0516.58023 · doi:10.1063/1.525906
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.