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

IF 1.2 4区 物理与天体物理 Q3 ASTRONOMY & ASTROPHYSICS Gravitation and Cosmology Pub Date : 2023-11-23 DOI:10.1134/S0202289323040096
Alcides Garat
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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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爱因斯坦-杨-米尔斯理论中弱和强能量条件定理的证明
我们给出了在所有存在非零电磁场和杨-米尔斯场的爱因斯坦-麦克斯韦-杨-米尔斯时空中局部弱能量和强能量条件的有效性的明显证明。为此,我们利用前面介绍的新的四分体。这些新的四分体在弯曲的四维洛伦兹时空中具有显著的性质。例如,对于非零电磁场和杨-米尔斯场,它们对角化了爱因斯坦-麦克斯韦时空和爱因斯坦-麦克斯韦-杨-米尔斯时空中任何应力-能量张量的局部协变。我们用这些性质来证明具有这些特征的任何时空的能量条件。
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来源期刊
Gravitation and Cosmology
Gravitation and Cosmology ASTRONOMY & ASTROPHYSICS-
CiteScore
1.70
自引率
22.20%
发文量
31
审稿时长
>12 weeks
期刊介绍: Gravitation and Cosmology is a peer-reviewed periodical, dealing with the full range of topics of gravitational physics and relativistic cosmology and published under the auspices of the Russian Gravitation Society and Peoples’ Friendship University of Russia. The journal publishes research papers, review articles and brief communications on the following fields: theoretical (classical and quantum) gravitation; relativistic astrophysics and cosmology, exact solutions and modern mathematical methods in gravitation and cosmology, including Lie groups, geometry and topology; unification theories including gravitation; fundamental physical constants and their possible variations; fundamental gravity experiments on Earth and in space; related topics. It also publishes selected old papers which have not lost their topicality but were previously published only in Russian and were not available to the worldwide research community
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