Resumen

MIRAMONTES, T.  y  SUDARSKY, D.. El formalismo 3+1 en relatividad general y la descomposición tensorial completa. Rev. mex. fís. E [online]. 2018, vol.64, n.2, pp.108-126. ISSN 1870-3542.

A brief review of 3 + 1 formalism in General Relativity is presented, introducing innovative conventions and notation elements which make it easier to deal with all of the tensorial projections involved in this formalism. Also, useful 3 + 1 expressions for manipulation of indexes (contraction, symmetrization, anti-symmetrization), tensorial producs and the covariant derivative of arbitrary tensors are obtained.

Palabras llave : General relativity; formalism in general relativity; geometry of submanifolds.