Asia Mathematika

Volume 1, Issue 1, August 2017, pp 42-55

The type III vacuum spacetime does not accept embedding into E₆

V. Barrera-Figueroa1¹, J. López-Bonilla², R. López-Vázquez ²

¹ Instituto Politécnico Nacional, Posgrado en Tecnología Avanzada, Av. IPN 2580, Col. Barrio la Laguna 07340, CDMX, México.
² ESIME-Zacatenco, Instituto Politécnico Nacional, Edif. 4, 1er. Piso, Col. Lindavista CP 07738, CDMX, México.

Abstract

We show the non-existence class two empty of Petrov type III without assuming that the second fundamental forms commute.

Keywords

Spacetime of embedding class two, Gauss-Codazzi-Ricci equations.

Subject classification: 83Cxx, 15A66, 83C60.

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Reference

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