Analytic Solution to Geodesic Equations in Lema\^{i}tre-Tolman-Bondi Metric
Nieng Tian
TL;DR
This paper presents an analytical approach using Taylor expansion to solve the geodesic equations in the Lemaître-Tolman-Bondi metric, providing a new method for understanding inhomogeneous cosmological models.
Contribution
Introduces an analytical Taylor expansion method for solving geodesic equations in the LTB metric, advancing the mathematical tools for inhomogeneous cosmology.
Findings
Derived explicit solutions for geodesic equations in LTB metric
Demonstrated the effectiveness of Taylor expansion in this context
Potential applications in cosmological modeling and data analysis
Abstract
In this paper, we use the Taylor expansion method to solve the LTB metric.
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Taxonomy
TopicsNonlinear Waves and Solitons · Numerical methods in engineering · Advanced Numerical Analysis Techniques