The Charged Zipoy-Voorhees Metric with Astrophysical Applications
| Autor: | Ozay Gurtug, Mustafa Halilsoy, Mert Mangut |
|---|---|
| Rok vydání: | 2021 |
| Předmět: | |
| Zdroj: | European Physical Journal |
| DOI: | 10.48550/arxiv.2110.12188 |
| Popis: | Starting from an integral of the interaction region of colliding Einstein-Maxwell waves and by applying a coordinate transformation, we obtain the charged version of the static Zipoy-Voorhees (ZV) metric valid for all values of the distortion parameter $\gamma$. In Schwarzschild coordinates, we investigate the effect of the charge in the newly found spacetime, stress the analogy with Reissner - Nordstrom metric and discuss some of its features. It is shown that from the expression of Weyl curvature, directional singularities become manifest. For astrophysical importance, we find lensing of null geodesics from the Gauss - Bonnet theorem in such non - spherically charged objects. To prepare the ground for our null, circular geodesics we consider the angular equation linearized about the symmetry plane $\theta=\pi/2$. This, in turn, suggests the distortion parameter (the $ZV$ parameter) must be in the interval $1/2 Comment: New sections are added and supported with new graphs. Typos are corrected. Matched with published version |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|