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Special Relativity, Tensors, and Energy Tensor: With Worked Problems

Special Relativity, Tensors, and Energy Tensor: With Worked Problems

Hardcover

Physics

ISBN10: 9811228116
ISBN13: 9789811228117
Publisher: World Scientific Publishing Company
Published: Mar 19 2021
Pages: 384
Weight: 1.50
Height: 0.88 Width: 6.00 Depth: 9.00
Language: English

This book takes the reader from the preliminary ideas of the Special Theory of Relativity (STR) to the doorsteps of the General Theory of Relativity (GTR).


The first part explains the main concepts in a layman's language, including STR, the Lorentz transformation, relativistic mechanics. Thereafter the concept of tensors is built up in detail, especially Maxwell's stress tensor with illustrative examples, culminating in the energy-momentum conservation in electromagnetic fields. Mathematical structure of Minkowski's space-time is constructed and explained graphically. The equation of motion is formulated and then illustrated by the example of relativistic rocket. The principle of covariance is explained with the covariant equations of classical electrodynamics. Finally, the book constructs the energy tensor which constitutes the source term in Einstein's field equation, which clears the passage to the GTR.

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