On the naturalness of Einstein's equation - General Relativity and Quantum CosmologyReportar como inadecuado




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Abstract: We compute all 2-covariant tensors naturally constructed from asemiriemannian metric which are divergence-free and have weight greater than-2.As a consequence, it follows a characterization of the Einstein tensor as theonly, up to a constant factor, 2-covariant tensor naturally constructed from asemiriemannian metric which is divergence-free and has weight 0 i.e., isindependent of the unit of scale. Since these two conditions are alsosatisfied by the energy-momentum tensor of a relativistic space-time, wediscuss in detail how these theorems lead to the field equation of GeneralRelativity.



Autor: Jose Navarro, Juan B. Sancho

Fuente: https://arxiv.org/







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