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Volume 1, Issue 1 (2013), Pages [1] - [55]

OF CLASS ONE 

[1] D. Kramer, H. Stephani, M. MacCallum and E. Herlt, Exact Solutions of Einstein’s Field Equations, Cambridge University Press, 1980.

 

[2] T. Y. Thomas, Riemann spaces of class one and their characterizations, Acta Math. 67 (1936), 169-211.

 

[3] R. Fuentes, J. López-Bonilla and G. Ovando, Spacetime of class one, Gen. Rel. Grav. 21 (1989), 777-784.

 

[4] C. Lanczos, A remarkable property of the Riemann-Christoffel tensor in four dimensions, Ann. Math. 39 (1938), 842-850.

 

[5] C. Lanczos, The splitting of the Riemann tensor, Rev. Mod. Phys. 34 (1962), 379-389.

 

[6] V. Gaftoi, J. López-Bonilla and G. Ovando, The Lanczos invariants as ordinary divergences, Nuovo Cim. B113 (1998), 1489-1492.

 

[7] D. Lovelock, The Lanczos identity and its generalizations, Atti. Accad. Naz. Lincei Rend. Cl. Sci. Fis. Mat. Natur. 42 (1967), 187-194.

 

[8] J. López-Bonilla, J. Morales and G. Ovando, Conservation laws for energy and momentum in curved spaces, J. Zhejiang Univ. Sci. A8(4) (2007), 665-668.