Theodore Frankel

Gravitational Curvature (eBook, ePUB)

• Format: ePub

Produktbeschreibung

This classic text and reference monograph applies modern differential geometry to general relativity. A brief mathematical introduction to gravitational curvature, it emphasizes the subject's geometric essence, replacing the often-tedious analytical computations with geometric arguments. Clearly presented and physically motivated derivations express the deflection of light, Schwarzchild's exterior and interior solutions, and the Oppenheimer-Volkoff equations.
A perfect choice for advanced students of mathematics, this volume will also appeal to mathematicians interested in physics. It stresses the global aspects of cosmology and is suitable for independent study as well as for courses in differential geometry, relativity, and cosmology. Prerequisites include a background in Riemannian geometry and basic physics or a familiarity with relativity theory. Background chapters, with derivations, cover special relativity, continuum mechanics, and electromagnetism.

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Produktdetails

• Verlag: Dover Publications
• Erscheinungstermin: 10. April 2013
• Englisch
• ISBN-13: 9780486289151
• Artikelnr.: 39550128

Autorenporträt

A Professor of Mathematics at UC San Diego, Theodore Frankel was a longtime member of Princeton's Institute for Advanced Study and is known for his work in global differential geometry, Morse theory, and relativity theory.

Inhaltsangabe

Preface Notation 1. Special Relativity 2. Clocks and Gravitational
Potential 3. A Heuristic Derivation of Einstein's Equations 4. The Geometry
of Einstein's Equations 5. The Schwarzschild Solution 6. The Classical
Motion of a Continuum 7. The Relativistic Equations of Motion 8. Light Rays
and Fermat's Principle 9. Electromagnetism in Three-Space and Minkowski
Space 10. Electromagnetism in General Relativity 11. The Interior Solution
12. Cosmology References Index