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Proof for the Weak and the Strong Energy Conditions Theorems in Einstein–Yang–Mills Theories

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Abstract

We present the manifest proof of the validity of the local weak and strong energy conditions in all Einstein–Maxwell–Yang–Mills space-times where nonnull electromagnetic and Yang–Mills fields are present. To this end, we make use of the new tetrads introduced previously. These new tetrads have remarkable properties in curved four-dimensional Lorentzian space-times. For example, they diagonalize locally and covariantly any stress-energy tensor in Einstein–Maxwell space-times and also in Einstein–Maxwell–Yang–Mills space-times for nonnull electromagnetic and Yang–Mills fields. We use these properties in order to prove the energy conditions for any space-time with these characteristics.

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  1. Former Professor at Universidad de la República, 11200, Montevideo, Av. 18 de Julio 1824-1850, Uruguay

    Alcides Garat

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  1. Alcides Garat
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Garat, A. Proof for the Weak and the Strong Energy Conditions Theorems in Einstein–Yang–Mills Theories. Gravit. Cosmol. 29, 387–399 (2023). https://doi.org/10.1134/S0202289323040096

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