Implications of higher order tensor in Einstein field equations on vacuum condition

We investigated the implications of introducing the higher order tensor in the Einstein field equations for the Schwarzschild metric on the vacuum condition and non de Sitter. Since the components of this tensor contain the fourth-order derivative, the solution of the Einstein field equations was so...

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Bibliographic Details
Published inJournal of physics. Conference series Vol. 1402; no. 4; pp. 44082 - 44086
Main Authors Prayitno, T B, Fahdiran, R
Format Journal Article
LanguageEnglish
Published Bristol IOP Publishing 01.12.2019
Subjects
Deviation
Einstein equations
Mathematical analysis
Physics
Schwarzschild metric
Tensors
Time lag
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Summary:We investigated the implications of introducing the higher order tensor in the Einstein field equations for the Schwarzschild metric on the vacuum condition and non de Sitter. Since the components of this tensor contain the fourth-order derivative, the solution of the Einstein field equations was solved by using the Frobenius method. To see the implications, we tested two cases, i.e., the deviation of light and the time delay of light. We found that the deviation of light has no correction while the time delay of light needs a correction.
ISSN:1742-6588
1742-6596
DOI:10.1088/1742-6596/1402/4/044082