Analytical and Numerical Approaches to Mathematical Relativity

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The general theory of relativity, developed by Albert Einstein in 1915, revolutionized the understanding of gravity as a curvature in the fabric of space-time. Nearly a century later, this theory aligns remarkably with observational data, including the confirmation of gravitational waves and light bending in gravitational fields. The introduction of a cosmological constant has resolved discrepancies in classical dynamics across various scales. Gravitational lensing has emerged as a crucial method in observational cosmology, allowing for precise mass measurements of distant celestial objects.