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- W2783287872 abstract "Lyra geometry is a conformal geometry that originated from Weyl geometry. In this article, we derive the exterior field equation under a spherically symmetric gauge function x 0 (r) and metric in Lyra geometry. When we impose a specific form of the gauge function x 0 (r), the radial differential equation of the metric component g 00 will possess an irregular singular point (ISP) at r = 0. Moreover, we can apply the method of dominant balance to get the asymptotic behavior of the new space–time solution. The significance of this work is that we can use a series of smooth gauge functions x 0 (r) to modulate the degree of divergence of the singularity at r = 0, which will become a naked singularity under certain conditions. Furthermore, we investigate the physical meaning of this novel behavior of space–time in Lyra geometry and find out that no spaceship with finite integrated acceleration can arrive at this singularity at r = 0. The physical meaning of the gauge function and integrability is also discussed." @default.
- W2783287872 created "2018-01-26" @default.
- W2783287872 creator A5080041953 @default.
- W2783287872 date "2018-09-01" @default.
- W2783287872 modified "2023-10-14" @default.
- W2783287872 title "Behavior of a vacuum and naked singularity under a smooth gauge function in Lyra geometry" @default.
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- W2783287872 doi "https://doi.org/10.1139/cjp-2017-0681" @default.
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