Relativistic Figures of Equilibrium

Treating the classical problem of gravitational physics, this book presents basic principles, deals with analytically tractable limiting cases, and considers the general case using powerful numerical methods. A valuable reference for researchers in general relativity, mathematical physics and astrophysics, it is accompanied by a website containing code.

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This book treats the classical problem of gravitational physics within Einstein's theory of general relativity. It presents basic principles and equations needed to describe rotating fluid bodies, as well as black holes in equilibrium. It then goes on to deal with a number of analytically tractable limiting cases, placing particular emphasis on the rigidly rotating disc of dust. The book concludes by considering the general case using powerful numerical methods that are applied to various models, including the classical example of equilibrium figures of constant density. Researchers in general relativity, mathematical physics, and astrophysics will find this a valuable reference book on the topic. A related website containing codes for calculating various figures of equilibrium is available at www.cambridge.org/9781107407350.