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An identity for 4-spacetimes embedded intoE 5

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Abstract

We show that if a 4-spacetimeV 4 can be embedded intoE 5 then, ifb ijis the second fundamental form tensor associated withV 4, the quantity (traceb)·b /−1 ij depends only on intrinsic geometric properties of the spacetime. Such fact is used to obtain a necessary condition for the embedding of aV 4 intoE 5.

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Authors and Affiliations

  1. Departamento de Ciencias Básicas, Universidad Autónoma Metropolitana-Azcapotzalco, Apartado Postal 21-726, 04000 D.F., Coyoacán, México

    José L López-Bonilla & H N Núñez-Yépez

  2. Departamento de Física, Universidad Autónoma Metropolitana-Iztapalapa, Apartado Postal 21-726, 04000 D. F., Coyoacán, México

    H N Núñez-Yépez

Authors
  1. José L López-Bonilla
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  2. H N Núñez-Yépez
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López-Bonilla, J.L., Núñez-Yépez, H.N. An identity for 4-spacetimes embedded intoE 5 . Pramana - J. Phys. 46, 219–221 (1996). https://doi.org/10.1007/BF02846948

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  • DOI: https://doi.org/10.1007/BF02846948

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