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Effects of quantum fluctuations of the metric on a braneworld

Adopting the premise that the expected value of the quantum fluctuating metric is linear, i.e., ⟨ g μ ν ⟩ = α g μ ν , we analyze the modified gravity theory induced by the Einstein–Hilbert action coupled to a matter field. This approach engenders the f ( R ,  T ) gravity used to investigate the bran...

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Bibliographic Details
Published in:European physical journal plus 2024-06, Vol.139 (6), p.544, Article 544
Main Authors: Almeida, C. A. S., Lima, F. C. E.
Format: Article
Language:English
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Summary:Adopting the premise that the expected value of the quantum fluctuating metric is linear, i.e., ⟨ g μ ν ⟩ = α g μ ν , we analyze the modified gravity theory induced by the Einstein–Hilbert action coupled to a matter field. This approach engenders the f ( R ,  T ) gravity used to investigate the braneworld. In this scenario, considering a thick brane, the influence of metric fluctuations on brane dynamics is investigated. Consequently, one shows how the metric fluctuations influence the vacuum states. This influence has repercussions for modifying the brane energy and the asymptotic profile of the matter field. After noticing these modifications, we analyzed the most likely and stable structures from the matter field. One performs this analysis considering the theoretical measure of differential configurational entropy.
ISSN:2190-5444
2190-5444
DOI:10.1140/epjp/s13360-024-05374-x