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Please use this identifier to cite or link to this item: http://hdl.handle.net/10481/37316

Title: Regularization of geodesics in static spherically symmetric Kerr-Schild spacetimes
Authors: Galindo, Pablo
Mars, Marc
Issue Date: 2015
Abstract: We describe a method to analyze causal geodesics in static and spherically symmetric spacetimes of Kerr-Schild form which, in particular, allows for a detailed study of the geodesics in the vicinity of the central singularity by means of a regularization procedure based on a generalization of the McGehee regularization for the motion of Newtonian point particles moving in a power-law potential. The McGehee regularization was used by Belbruno and Pretorius [1] to perform a dynamical system regularization of the central singularity of the motion of massless test particles in the Schwarzschild spacetime. Our generalization allows us to consider causal (timelike or null) geodesics in any static and spherically symmetric spacetime of Kerr-Schild form. As an example, we apply these results to causal geodesics in the Schwarzschild and Reissner-Nordstrom spacetimes.
Publisher: IOP Publishing
Description: Spanish Relativity Meeting: "Almost 100 years after Einstein's revolution". University of Valencia, 1st-5th of September 2014
Keywords: Causal geodesics
URI: http://hdl.handle.net/10481/37316
ISSN: 1742-6588
Rights : Creative Commons Attribution-NonCommercial-NoDerivs 3.0 License
Citation: Galindo, P.; Mars, M. Regularization of geodesics in static spherically symmetric Kerr-Schild spacetimes. Journal of Physics: conference series, 600: 012063 (2015). [http://hdl.handle.net/10481/37316]
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