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Einstein equation at singularities

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Central European Journal of Physics

Abstract

Einstein’s equation is rewritten in an equivalent form, which remains valid at the singularities in some major cases. These cases include the Schwarzschild singularity, the Friedmann-Lemaître-Robertson-Walker Big Bang singularity, isotropic singularities, and a class of warped product singularities. This equation is constructed in terms of the Ricci part of the Riemann curvature (as the Kulkarni-Nomizu product between Einstein’s equation and the metric tensor).

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Authors and Affiliations

  1. Faculty of Applied Sciences, University Politehnica of Bucharest, Splaiul Independentei nr. 313, sector 6, Bucharest, RO-060042, Romania

    Ovidiu-Cristinel Stoica

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  1. Ovidiu-Cristinel Stoica
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Correspondence to Ovidiu-Cristinel Stoica.

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Stoica, OC. Einstein equation at singularities. centr.eur.j.phys. 12, 123–131 (2014). https://doi.org/10.2478/s11534-014-0427-1

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  • DOI: https://doi.org/10.2478/s11534-014-0427-1

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