El formalismo 3+1 en relatividad general y la descomposición tensorial completa

Authors

  • T. Miramontes Instituto de Ciencias Nucleares, Universidad Nacional Autónoma de México, Apartado Postal 70-543, Ciudad Universitaria, 04511 México, D.F., México.
  • D. Sudarsky Instituto de Ciencias Nucleares, Universidad Nacional Autónoma de México, Apartado Postal 70-543, Ciudad Universitaria, 04511 México, D.F., México.

DOI:

https://doi.org/10.31349/RevMexFisE.64.108

Keywords:

General relativity, formalism in general relativity, geometry of submanifolds.

Abstract

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.

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Published

2018-06-11

How to Cite

[1]
T. Miramontes and D. Sudarsky, “El formalismo 3+1 en relatividad general y la descomposición tensorial completa”, Rev. Mex. Fis. E, vol. 64, no. 2 Jul-Dec, pp. 108–126, Jun. 2018.

Issue

Vol. 64 No. 2 Jul-Dec (2018): Revista Mexicana de Física E

Section

02 Education in Physics

License

Authors retain copyright and grant the Revista Mexicana de Física E right of first publication with the work simultaneously licensed under a CC BY-NC-ND 4.0 that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.