Linear stability of f(R, ϕ, X) thick branes: tensor perturbations

Abstract

We explore thick branes in f (R, φ, X) gravity. We obtain the linear tensor perturbation equation of f (R, φ, X) branes and show that the branes are stable against the tensor perturbations under the condition of ∂f (R,φ,X) ∂R > 0. In order to obtain thick brane solutions of the fourth-order field equations in this theory, we employ the reconstruction technique. We get exact solutions of the specific f (R, φ, X) thick brane generated by a noncanonical scalar field. It is shown that the zero mode of the graviton for the thick brane is localized under certain conditions. This implies that the four-dimensional Newtonian potential is recovered on the brane. The effects of the Kaluza-Klein modes of the graviton for the f (R, φ, X) thick brane are also discussed.

Fermion localization and degenerate resonances on brane array

“…In Refs. [12,13,14,15,16], the authors built thick brane models with a non-canonical bulk scalar field. The thick brane models was also considered in modified gravities, such as f (R) gravity [17,18,19,20,21,22], f (T ) gravity [23,24,25,26], f (R, T ) gravity [27], Weyl integrable geometry [28,29], and Eddington inspired Born-Infeld gravity [30,31].…”

Reducing energy consumption of air-conditioning systems in moderate climates by applying indirect evaporative cooling

“…The mathematical model accuracy under condensation state is verified with experimentally validated model presented by Cui et al [7]. It is found that the presented model shows average discrepancy equals to 2.4% in terms of outlet temperature and 3.2% for outlet humidity ratio.…”

“…The heat and mass transfer processes in the counter-flow IEC exchanger are described with ε-NTU model. Model accuracy is verified with an experimentally validated model by Cui et al [7].…”

“…The annual simulations data were compared with field measurement at good agreement. Different computational model, considering condensation from product airflow, was developed by Cui et al [7]. Based on the simulation for hot and humid climate conditions, it was found that the IEC exchanger, as a part of the air-conditioning system, was able to cover 47% of cooling load.…”

Tensor perturbations and thick branes in higher-dimensional f(R) gravity

“…[21] and further considered in refs. [16,[22][23][24][25][26][27][28][29][30][31][32]. Unlike the approach by introducing background scalar fields to construct thick branes, pure geometric frameworks (without background matter fields) were taken into account in refs.…”