This book presents a comprehensive and self-contained exposition of the mathematical theory of impulsive light-like signals in general relativity. Applications are provided in relativistic astrophysics, cosmology and alternative theories of gravity deduced from string theory. Cataclysmic astrophysical events give rise to impulsive light-like signals which can generally be decomposed into a thin shell of null matter and an impulsive gravitational wave. Several examples are considered in black hole physics, wave collisions and light-like boosts of compact gravitating sources. Graduate students and researchers in relativistic astrophysics, cosmology and string theory will find this book very useful.
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Editorial Reviews
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... this book will stimulate the further development of models of impulsive and shock waves that are more closely related to cosmological and astrophysical processes.
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The book is clearly written and all details of the calculations are supplied. To read it with profit requires a first course in general relativity at the final undergraduate or first year graduate student level, but is otherwise rather accessible. It can be recommended without reservation to anyone seriously interested in General Relativity and should be on the shelves of any physics or mathematics library. It is a major contribution to the subject and is likely to become a classic reference.
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Inside This Book
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First Sentence:
J. L. Synge constructed the earliest model in General Relativity of a light-like, spherical shell expanding into a vacuum, which he published under the provocative title [Synge (1957)] "A Model in General Relativity for the Instantaneous Transformation of a Massive Particle into Radiation". Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
degenerate principal null direction, singular null hypersurface, null shell, plane impulsive gravitational waves, impulsive light, geodesic integral curves, vacuum gravitational field, hoop conjecture, null generators, vacuum field equations, null hypersurfaces, null tetrad, dilaton field, metric tensor components, surface energy density, transverse derivatives, null part, junction conditions, extrinsic curvature, curvature singularity, mass aspect, backscattered radiation, intrinsic coordinates, affine parameter, null geodesics Key Phrases - Capitalized Phrases (CAPs): (learn more)
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J. L. Synge constructed the earliest model in General Relativity of a light-like, spherical shell expanding into a vacuum, which he published under the provocative title [Synge (1957)] "A Model in General Relativity for the Instantaneous Transformation of a Massive Particle into Radiation". Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
degenerate principal null direction, singular null hypersurface, null shell, plane impulsive gravitational waves, impulsive light, geodesic integral curves, vacuum gravitational field, hoop conjecture, null generators, vacuum field equations, null hypersurfaces, null tetrad, dilaton field, metric tensor components, surface energy density, transverse derivatives, null part, junction conditions, extrinsic curvature, curvature singularity, mass aspect, backscattered radiation, intrinsic coordinates, affine parameter, null geodesics Key Phrases - Capitalized Phrases (CAPs): (learn more)
Einstein de Sitter New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Back Cover | Surprise Me!
Citations (learn more)
This book cites 9
books:
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- General Relativity by Robert M. Wald in Back Matter
- The Theory of Relativity: & Other Essays by Albert Einstein in Back Matter
- Colliding Plane Waves in General Relativity (Oxford Mathematical Monographs) by J. B. Griffiths in Back Matter
- General Relativity: Proceedings of the Forty Sixth Scottish Universities Summer School in Physics, Aberdeen, July 1995 (Scottish Graduate Series) by G.S Hall in Back Matter
- Introduction to the Theory of Relativity (Dover Books on Physics) by Peter G. Bergmann in Back Matter
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