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The Geometry of Kerr Black Holes

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The Geometry of Kerr Black Holes

This unique monograph by a noted UCLA professor examines in detail the mathematics of Kerr black holes, which possess the properties of mass and angular momentum but carry no electrical charge. Suitable for advanced undergraduates and graduate students of mathematics, physics, and astronomy as well as professional physicists, the self-contained treatment constitutes an introduction to modern techniques in differential geometry.
The text begins with a substantial chapter offering background on the mathematics needed for the rest of the book. Subsequent chapters emphasize physical interpretations of geometric properties such as curvature, geodesics, isometries, totally geodesic submanifolds, and topological structure. Further investigations cover relativistic concepts such as causality, Petrov types, optical scalars, and the Goldberg-Sachs theorem. Four helpful appendixes supplement the text.

Reprint of the A K Peters, Wellesley, Massachusetts, 1995 edition.
physics;mathematics;math and astronomy;differential geometry;professional physicists;graduate students;geometry;astrophysics;scientific;graduate students of math;astronomy students;physicists;educational;modern techniques;geometric properties;topological structure;angular momentum;black holes;intermediate geometry;newman penrose;optical scalars;petrov types;goldberg sachs theorem;maximal extensions;geodesics
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This unique monograph by a noted UCLA professor examines in detail the mathematics of Kerr black holes, which possess the properties of mass and angular momentum but carry no electrical charge. Suitable for advanced undergraduates and graduate students of mathematics, physics, and astronomy as well as professional physicists, the self-contained treatment constitutes an introduction to modern techniques in differential geometry.
The text begins with a substantial chapter offering background on the mathematics needed for the rest of the book. Subsequent chapters emphasize physical interpretations of geometric properties such as curvature, geodesics, isometries, totally geodesic submanifolds, and topological structure. Further investigations cover relativistic concepts such as causality, Petrov types, optical scalars, and the Goldberg-Sachs theorem. Four helpful appendixes supplement the text.

Reprint of the A K Peters, Wellesley, Massachusetts, 1995 edition.
physics;mathematics;math and astronomy;differential geometry;professional physicists;graduate students;geometry;astrophysics;scientific;graduate students of math;astronomy students;physicists;educational;modern techniques;geometric properties;topological structure;angular momentum;black holes;intermediate geometry;newman penrose;optical scalars;petrov types;goldberg sachs theorem;maximal extensions;geodesics
The Geometry of Kerr Black Holes | Dover Publications