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Published in 2023 at "Advanced science"
DOI: 10.1002/advs.202301414
Abstract: Cylindrically symmetric cholesteric liquid crystal elastomer (CLCE) fibers templated by tubular confinement are reported, displaying mechanochromic, thermochromic, and thermomechanical responses. The synthesis inside a sacrificial tube secures radial orientation of the cholesteric helix, and the…
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Keywords:
symmetric cholesteric;
liquid crystal;
fibers templated;
cylindrically symmetric ... See more keywords
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Published in 2019 at "General Relativity and Gravitation"
DOI: 10.1007/s10714-019-2638-7
Abstract: We obtain the general cylindrically symmetric vacuum metric solution in the general relativity theory. We assume the same metric considered in a previous paper describing a translating source. We show that this metric is geometrically…
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Keywords:
symmetric vacuum;
translation cylindrically;
vacuum;
cylindrically symmetric ... See more keywords
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Published in 2019 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2019.123490
Abstract: Abstract Let m ≥ 1 and d ≥ 2 be integers and consider a strip-like domain O × R d , where O ⊂ R m is a bounded Euclidean domain with smooth boundary. Furthermore,…
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Keywords:
applications compact;
compact embedding;
like domain;
strip like ... See more keywords
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Published in 2022 at "Axioms"
DOI: 10.3390/axioms11100506
Abstract: In this paper, we find all static, cylindrically symmetric spacetime metrics admitting homothetic symmetries. For this purpose, first we analyze the homothetic symmetry equations by an algorithm developed in Maple which gives all possible static,…
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Keywords:
static cylindrically;
homothetic symmetries;
homothetic symmetry;
rif tree ... See more keywords
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1
Published in 2023 at "Symmetry"
DOI: 10.3390/sym15010184
Abstract: A new approach is adopted to completely classify the Lagrangian associated with the static cylindrically symmetric spacetime metric via Noether symmetries. The determining equations representing Noether symmetries are analyzed using a Maple algorithm that imposes…
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Keywords:
static cylindrically;
symmetric spacetimes;
cylindrically symmetric;
approach ... See more keywords