Some invariant solutions for non-conformal perfect fluid plates in 5-flat form in general relativity |
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| Authors: | Mukesh Kumar and Y. K. Gupta |
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| Affiliation: | (1) Inst. Computational Technologies, Russian Academy of Sciences, Pr. Lavrentjeva 6, 630090 Novosibirsk, Russia;(2) Dept. Mathematics & Science, Blekinge Institute of Technology, 371 79 Karlskrona, Sweden;(3) Inst. Mathematical Modelling, Russian Academy of Sciences, Miusskaya Square 4A, 125047 Moscow, Russia;(4) School of Mathematics, Institute of Science, Suranaree University of Technology (SUT), 30000 Nakhon Ratchasima, Thailand;; |
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| Abstract: | A set of six invariant solutions for non-conformal perfect fluid plates in 5-flat form is obtained using one-parametric Lie group of transformations. Out of the six solutions so obtained, three are in implicit form while the remaining three could be expressed explicitly. Each solution describes an accelerating fluid distribution and is new as far as authors are aware. |
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