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- W4307206502 abstract "In this paper, we solved the Einstein's field equation and obtained a line element for static, ellipsoidal objects characterized by the linear eccentricity ($eta$) instead of quadrupole parameter ($q$). This line element recovers the Schwarzschild line element when $eta$ is zero. In addition to that it also reduces to the Schwarzschild line element, if we neglect terms of the order of $r^{-2}$ or higher which are present within the expressions for metric elements for large distances. Furthermore, as the ellipsoidal character of the derived line element is maintained by the linear eccentricity ($eta$), which is an easily measurable parameter, this line element could be more suitable for various analytical as well as observational studies." @default.
- W4307206502 created "2022-10-30" @default.
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- W4307206502 date "2022-10-21" @default.
- W4307206502 modified "2023-09-27" @default.
- W4307206502 title "The space-time line element for static ellipsoidal objects" @default.
- W4307206502 doi "https://doi.org/10.48550/arxiv.2210.12039" @default.
- W4307206502 hasPublicationYear "2022" @default.
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