https://doi.org/10.1140/epjp/s13360-024-05374-x
Regular Article
Effects of quantum fluctuations of the metric on a braneworld
1
Department of Physics and Astronomy, Institute of Cosmology, Tufts University, Medford, MA, USA
2
Departamento de Física, Universidade Federal do Ceará, Campus do Pici, Fortaleza, Ceará, Brazil
3
Programa de Pós-graduação em Física, Universidade Federal do Maranhão, Campus Universitário do Bacanga, São Luís, Maranhão, Brazil
Received:
21
March
2024
Accepted:
15
June
2024
Published online:
24
June
2024
Adopting the premise that the expected value of the quantum fluctuating metric is linear, i.e., , 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.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2024. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.