Exact Solutions of Einstein's Field Equations (Cambridge Monographs on Mathematical Physics)
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.
- ASIN: 0521467020
Fields of Color: The theory that escaped Einstein
Fields of Color explains Quantum Field Theory to a lay audience without equations. It shows how this overlooked and misunderstood theory resolves the weirdness of Quantum Mechanics and the paradoxes of Relativity.
- ASIN: 0473179768
Einstein's Field Equations and Their Physical Implications: Selected Essays in Honour of Jürgen Ehlers (Lecture Notes in Physics)
This book serves two purposes. The authors present important aspects of modern research on the mathematical structure of Einstein's field equations and they show how to extract their physical content from them by mathematically exact methods. The essays are devoted to exact solutions and to the Cauchy problem of the field equations as well as to post-Newtonian approximations that have direct physical implications. Further topics concern quantum gravity and optics in gravitational fields.The book addresses researchers in relativity and differential geometry but can also be used as additional reading material for graduate students.
- Brand: Brand: Springer
- ASIN: 3540670734
A Student's Guide to Vectors and Tensors (Student's Guides)
Vectors and tensors are among the most powerful problem-solving tools available, with applications ranging from mechanics and electromagnetics to general relativity. Understanding the nature and application of vectors and tensors is critically important to students of physics and engineering. Adopting the same approach used in his highly popular A Student's Guide to Maxwell's Equations, Fleisch explains vectors and tensors in plain language. Written for undergraduate and beginning graduate students, the book provides a thorough grounding in vectors and vector calculus before transitioning through contra and covariant components to tensors and their applications. Matrices and their algebra are reviewed on the book's supporting website, which also features interactive solutions to every problem in the text where students can work through a series of hints or choose to see the entire solution at once. Audio podcasts give students the opportunity to hear important concepts in the book explained by the author.
- Brand: imusti
- ASIN: 0521171903
Introduction To General Relativity And Cosmology (Essential Textbooks in Physics)
Introduction to General Relativity and Cosmology gives undergraduate students an overview of the fundamental ideas behind the geometric theory of gravitation and spacetime. Through pointers on how to modify and generalise Einstein's theory to enhance understanding, it provides a link between standard textbook content and current research in the field. Chapters present complicated material practically and concisely, initially dealing with the mathematical foundations of the theory of relativity, in particular differential geometry. This is followed by a discussion of the Einstein field equations and their various properties. Also given is analysis of the important Schwarzschild solutions, followed by application of general relativity to cosmology. Questions with fully worked answers are provided at the end of each chapter to aid comprehension and guide learning. This pared down textbook is specifically designed for new students looking for a workable, simple presentation of some of the key theories in modern physics and mathematics.
- ASIN: 1786341182
The Principle of Relativity (Dover Books on Physics)
This collection of original papers on the special and general theories of relativity is an unabridged translation of the 4th edition of Das Relativitatsprinzip, together with a revised edition of an additional paper by H. A. Lorentz.CONTENTS: I. "Michelson's Interference Experiment" by H. A . Lorentz. II. "Electromagnetic Phenomena in a System Moving with any Velocity Less than that of Light" by H. A . Lorentz. Ill. "On the Electrodynamics of Moving Bodies" by A. Einstein. IV. "Does the Inertia of a Body Depend Upon its Energy-Content?" by A. Einstein. V. "Space and Time" by H. Minkowski. VI. "On the Influence of Gravitation on the Propagation of Light" by A. Einstein. VII. "The Foundation of the General Theory of Relativity" by A. Einstein. VIII. "Hamilton's Principle and the General Theory of Relativity" by A. Einstein. IX. "Cosmological Considerations on the General Theory of Relativity" by A. Einstein. X. "Do Gravitational Fields Play an Essential Part in the Structure of the Elementary Particles of Matter?" by A. Einstein. XI. "Gravitation and Electricity" by H. Weyl."The book constitutes an indispensable part of a library on relativity," Nature. "It is really a thrill to read again the original papers by these giants," School Science and Mathematics. "Warmly recommended," Q...
- ASIN: 0486600815
- UPC: 800759600816
How Einstein gives Dirac, Klein-Gordon and Schrödinger: Deriving the Schrödinger, Dirac and Klein-Gordon Equations from the Einstein-Field-Equations via an Intelligent Zero
Taking the line element of any Einstein-compatible metric and quantizing it, thereby applying the method of the intelligent zero gives metric Dirac, Klein-Gordon and Schrödinger equations.One might therefore consider the new equations as the Dirac-, Klein-Gordon- or Schrödinger-forms of the General Theory of Relativity. It will be shown that what classically is the potential V, gives a metric distortion in the theory of quantized metric space-solutions. The connection will be derived in this paper by the means of the Einstein-compatible Schrödinger equation.As an example, we will also derive the Klein-Gordon or Quantum Equation for a Schwarzschild-object. Even though it will not solved in this paper, some interesting conclusions can be extracted from the structure of that equation. By applying the usual separation approach one can easily solve the angular and the time-part of the equation, but faces problems with respect to the radial part. As expected one obtains the classical Klein-Gordon equation for zero-Schwarzschild radii. The solutions are slightly similar to those of the Hydrogen-Atom in classical Quantum Theory. Thus, the metric Klein-Gordon equation as derived here applied to the Schwarzschild metric and its brother the corresponding metric Dirac equation might be co...
- ASIN: B071K2Y4V2
The Order of Time
One of TIME’s Ten Best Nonfiction Books of 2018 "Meet the new Stephen Hawking . . . The Order of Time is a dazzling book." --The Sunday Times From the bestselling author of Seven Brief Lessons on Physics, comes a concise, elegant exploration of time.Why do we remember the past and not the future? What does it mean for time to "flow"? Do we exist in time or does time exist in us? In lyric, accessible prose, Carlo Rovelli invites us to consider questions about the nature of time that continue to puzzle physicists and philosophers alike. For most readers this is unfamiliar terrain. We all experience time, but the more scientists learn about it, the more mysterious it remains. We think of it as uniform and universal, moving steadily from past to future, measured by clocks. Rovelli tears down these assumptions one by one, revealing a strange universe where at the most fundamental level time disappears. He explains how the theory of quantum gravity attempts to understand and give meaning to the resulting extreme landscape of this timeless world. Weaving together ideas from philosophy, science and literature, he suggests that our perception of the flow of time depends on our perspective, better understood starting from the structure of our brain and emotions than from the physical un...
- Brand: Riverhead Books
- ASIN: 073521610X
A Student's Guide to Maxwell's Equations (Student's Guides)
Gauss's law for electric fields, Gauss's law for magnetic fields, Faraday's law, and the Ampere-Maxwell law are four of the most influential equations in science. In this guide for students, each equation is the subject of an entire chapter, with detailed, plain-language explanations of the physical meaning of each symbol in the equation, for both the integral and differential forms. The final chapter shows how Maxwell's equations may be combined to produce the wave equation, the basis for the electromagnetic theory of light. This book is a wonderful resource for undergraduate and graduate courses in electromagnetism and electromagnetics. A website hosted by the author at www.cambridge.org/9780521701471 contains interactive solutions to every problem in the text as well as audio podcasts to walk students through each chapter.
- Brand: imusti
- ASIN: 0521701473
Faraday, Maxwell, and the Electromagnetic Field: How Two Men Revolutionized Physics
The story of two brilliant nineteenth-century scientists who discovered the electromagnetic field, laying the groundwork for the amazing technological and theoretical breakthroughs of the twentieth centuryTwo of the boldest and most creative scientists of all time were Michael Faraday (1791-1867) and James Clerk Maxwell (1831-1879). This is the story of how these two men - separated in age by forty years - discovered the existence of the electromagnetic field and devised a radically new theory which overturned the strictly mechanical view of the world that had prevailed since Newton's time.The authors, veteran science writers with special expertise in physics and engineering, have created a lively narrative that interweaves rich biographical detail from each man's life with clear explanations of their scientific accomplishments. Faraday was an autodidact, who overcame class prejudice and a lack of mathematical training to become renowned for his acute powers of experimental observation, technological skills, and prodigious scientific imagination. James Clerk Maxwell was highly regarded as one of the most brilliant mathematical physicists of the age. He made an enormous number of advances in his own right. But when he translated Faraday's ideas into mathematical language, thus cre...
- Brand: Prometheus Books
- ASIN: 1616149426
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