Abstract
In this paper, the gauge choices in general spherically symmetric spacetimes are explored. In particular, we construct the gauge invariant variables and the master equations for both the Detweiler easy gauge and the Regge-Wheeler gauge, respectively. The particular cases for l = 0,1 are also investigated. Our results provide analytical calculations of metric perturbations in general spherically symmetric spacetimes, which can be applied to various cases, including the effective-one-body problem. A simple example is presented to show how the metric perturbation components are related to the source perturbation terms.
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This work was supported by the National Key Research and Development Program of China (Grant No. 2020YFC2201503), National Natural Science Foundation of China (Grant Nos. 11705053, 11975203, and 12035005), and Hunan Provincial Natural Science Foundation of China (Grant No. 2022JJ40262). The work of Xiongjun Fang was supported in part by China Scholarship Council for the Visiting Post-doc Program at Baylor University. We would like very much to thank Xiaokai He and Tao Zhu for valuable discussions, and also thank Zhucun Li.
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Liu, W., Fang, X., Jing, J. et al. Gauge invariant perturbations of general spherically symmetric spacetimes. Sci. China Phys. Mech. Astron. 66, 210411 (2023). https://doi.org/10.1007/s11433-022-1956-4
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DOI: https://doi.org/10.1007/s11433-022-1956-4