A completely revised and updated edition of this classic text, covering important new methods and many recently discovered solutions. This edition contains new chapters on generation methods and their application, classification of metrics by invariants, and treatments of homothetic motions and methods from dynamical systems theory. It also includes colliding waves, inhomogeneous cosmological solutions, and spacetimes containing special subspaces.
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Book Description
Editorial Reviews
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"This is clearly a most valuable reference book. It comprehensively reviews known local solutions of Einstein's equation and provides a secure base for future research."
Mathematical Reviews
Mathematical Reviews
Book Description
A completely revised and updated edition of this classic text, covering important new methods and many recently discovered solutions. This edition contains new chapters on generation methods and their application, classification of metrics by invariants, and treatments of homothetic motions and methods from dynamical systems theory. It also includes colliding waves, inhomogeneous cosmological solutions, and spacetimes containing special subspaces. Indispensible for those working on exact solutions in relativity or using them in physical or mathematical problems.
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11 of 14 people found the following review helpful:
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not many are known, but here they are,
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This review is from: Exact Solutions of Einstein's Field Equations (Cambridge Monographs on Mathematical Physics) (Hardcover)
The extreme non-linear, coupled nature of Einstein's Field Equations has meant that relatively few exact solutions are known. So what Stephani presents seems to be a fairly complete rendition of these solutions. It goes beyond the trivial solutions given in the standard texts by Weinberg or Misner, Thorne and Wheeler.
Stephani saves you from a lot of searching through decades of various physics journals. A boon for a General Relativity researcher.
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Inside This Book
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First Sentence:
The theories of modern physics generally involve a mathematical model, defined by a certain set of differential equations, and supplemented by a set of rules for translating the mathematical results into meaningful statements about the physical world. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
perfect fluid solutions, algebraically special solutions, stationary axisymmetric fields, curvature collineations, geodesic eigenrays, axisymmetric vacuum solutions, complex null tetrad, pure radiation fields, electromagnetic null field, multiple principal null direction, principal tetrad, colliding plane gravitational waves, electrovac solutions, homothetic motions, algebraically general solutions, last field equation, conformally flat solutions, dust metrics, perfect fluid type, stationary vacuum solutions, null orbits, colliding wave solutions, proper homothety, homothetic vector, generalized orthogonal group Key Phrases - Capitalized Phrases (CAPs): (learn more)
Calculating the Cartan, Generalized Robinson-Trautman, Kerr-Schild Einstein-Maxwell, Krishna Rao New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
The theories of modern physics generally involve a mathematical model, defined by a certain set of differential equations, and supplemented by a set of rules for translating the mathematical results into meaningful statements about the physical world. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
perfect fluid solutions, algebraically special solutions, stationary axisymmetric fields, curvature collineations, geodesic eigenrays, axisymmetric vacuum solutions, complex null tetrad, pure radiation fields, electromagnetic null field, multiple principal null direction, principal tetrad, colliding plane gravitational waves, electrovac solutions, homothetic motions, algebraically general solutions, last field equation, conformally flat solutions, dust metrics, perfect fluid type, stationary vacuum solutions, null orbits, colliding wave solutions, proper homothety, homothetic vector, generalized orthogonal group Key Phrases - Capitalized Phrases (CAPs): (learn more)
Calculating the Cartan, Generalized Robinson-Trautman, Kerr-Schild Einstein-Maxwell, Krishna Rao New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
Citations (learn more)
This book cites 12
books:
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25
books
cite this book:
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- String Theory 2 Volume Set (Cambridge Monographs on Mathematical Physics) by Joseph Polchinski in Front Matter
- Gauge Field Theories (Cambridge Monographs on Mathematical Physics) by Stefan Pokorski in Front Matter
- Quantum Gravity (Cambridge Monographs on Mathematical Physics) by Carlo Rovelli in Front Matter
- Methods of Contemporary Gauge Theory (Cambridge Monographs on Mathematical Physics) by Yuri Makeenko in Front Matter
- Oscillations in Finite Quantum Systems (Cambridge Monographs on Mathematical Physics) by G. F. Bertsch in Front Matter
See all 12 books this book cites
- Gravitation and Inertia by Ignazio Ciufolini on page 79, and page 382
- The Geometry of Kerr Black Holes by Barrett O'Neill on page 349, and Back Matter
- The Renaissance of General Relativity and Cosmology: A Survey to Celebrate the 65th Birthday of Dennis Sciama by George Ellis in Front Matter, and page 38
- The Interacting Boson-Fermion Model (Cambridge Monographs on Mathematical Physics) by F. Iachello in Front Matter
- Quantum Geometry: A Statistical Field Theory Approach (Cambridge Monographs on Mathematical Physics) by Jan Ambjørn in Front Matter
See all 25 books citing this book
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