Overview

A self-contained text, systematically presenting the determination and classification of exact solutions in three-dimensional Einstein gravity. This book explores the theoretical framework and general physical and geometrical characteristics of each class of solutions, and includes information on the researchers responsible for their discovery. Beginning with the physical character of the solutions, these are identified and ordered on the basis of their geometrical invariant properties, symmetries, and algebraic classifications, or from the standpoint of their physical nature, for example electrodynamic fields, fluid, scalar field, or dilaton. Consequently, this text serves as a thorough catalogue on 2+1 exact solutions to the Einstein equations coupled to matter and fields. The solutions are also examined from different perspectives, enabling a conceptual bridge between exact solutions of three- and four-dimensional gravities, and therefore providing graduates and researchers with an invaluable resource on this important topic in gravitational physics. Including contributions by David Chow, Christopher N. Pope and Ergin Sezgin (chapters 16-19).

Full Product Details

Author:   Alberto A. García-Díaz
Publisher:   Cambridge University Press
Imprint:   Cambridge University Press
Dimensions:   Width: 18.00cm , Height: 3.00cm , Length: 25.40cm
Weight:   0.970kg
ISBN:  

9781107147898

ISBN 10:   1107147891
Pages:   450
Publication Date:   07 September 2017
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   Manufactured on demand  
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Table of Contents

Preface; 1. Introduction; 2. Point particles; 3. Dust solutions; 4. AdS cyclic symmetric stationary solutions; 5. Perfect fluid static stars; 6. Static perfect fluid stars with Λ; 7. Hydrodynamic equilibrium; 8. Stationary perfect fluid with Λ; 9. Friedmann–Robertson–Walker cosmologies; 10. Dilaton-inflaton FRW cosmologies; 11. Einstein–Maxwell solutions; 12. Nonlinear electrodynamics black hole; 13. Dilaton minimally coupled to gravity; 14. Dilaton non-minimally coupled to gravity; 15. Low energy 2+1 string gravity; 16. Topologically massive gravity; 17. Bianchi type spacetimes in TMG; 18. Petrov type N wave metrics; 19. Kundt spacetimes in TMG; 20. Cotton tensor in Riemannian spacetimes; References; Index.

Reviews

'2+1 dimensions is the lowest dimension in which Einstein gravity works, and it exhibits some interesting features, such as space-time being flat where there is no matter. The topic has been studied for about 50 years, and there are, remarkably, large numbers of exact solutions that have been found. This book presents a comprehensive account of them, including a section on topologically massive gravity. It is obviously a labour of love, which runs to over 400 pages, and which will be of interest to relativists, providing links between the solutions and those for the more familiar 3+1 space- time.' Alan Heavens, The Observatory

Author Information

Alberto A. García-Díaz is Emeritus Professor at the Center for Research and Advanced Studies of the National Polytechnic Institute, Mexico (CINVESTAV-IPN). His research throughout his career has focused on algebraic classification in four dimensional gravity, nonlinear electrodynamics and dilaton fields.

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