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The Mathematical Structure of General Relativity

The Mathematical Structure of General Relativity

Paperback

Physics

ISBN10: 6209656609
ISBN13: 9786209656606
Publisher: LAP Lambert Academic Publishing
Published: Mar 31 2026
Pages: 108
Weight: 0.34
Height: 0.26 Width: 6.00 Depth: 9.00
Language: English
This book develops the complete mathematical framework underlying Einstein's general theory of relativity, written for advanced undergraduates and graduate students in physics and mathematics. Beginning with special relativity and the geometry of Minkowski spacetime, it builds systematically through tensor algebra, smooth manifolds, covariant differentiation, and the Riemann curvature tensor before arriving at the Einstein field equations and their exact solutions - including the Schwarzschild black hole and the rotating Kerr spacetime. Later chapters treat gravitational waves, spinors and the Dirac equation in curved spacetime, fiber bundles, the Penrose-Hawking singularity theorems, and relativistic cosmology. Every mathematical concept is introduced because it is physically needed, and every physical result is derived with full mathematical precision. End-of-chapter problems reinforce both technique and understanding.

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Pandey, Shreesham

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Physics