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Variational Principle and Running Couplings
註釋"The purpose of this work is to study the theory of scale-dependent gravity in (2 + 1) and (3 + 1) dimensions. We do this by using generalized field equations derived from applying the variational principle to an effective action. In (2 + 1) dimensions this theory is studied in the context of non-linear electrodynamics, making emphasis on the thermodynamic properties of charged black holes. In (3 + 1) dimensions, we concentrate on studying the cosmological consequences of this theory and compare our results with those of the ?CDM model. Regarding (3 + 1) dimensions, one of the most important results is that when we consider the case of "true running", in which the Newton "constant" G and the dark energy density ?_? are scale-dependent functions, namely G(t) and ?_?(t), our model fits well with the experimental data for the Hubble parameter H(z)." -- Tomado del Formato de Documento de Grado.