The collision and non-linear interaction of plane waves in Einstein's general theory of relativity has received considerable attention in recent years. Initially, it was widely thought that such collisions inevitable produce curvature singularities. More recently, however, a surprisingly rich structure of such space-times has been discovered. This volume presents a unified and comprehensive survey to the current research in this topic which will be suitable for graduate students and research workers whose research lies in general relativity. The first eight chapters present the background to the subject, introduce the field equations, and include a discussion of some qualitative aspects of their solution. A detailed account is included of the Kahn-Penrose solution since it exhibits the general character of most colliding plane wave solutions. The latter half of the book is devoted to a catalogue of further exact solutions describing the collision of both gravitational and electromagnetic plane waves. This includes a discussion of the significance of known solutions and a summary of topics of current research interest. As a result, the book will serve both as an invaluable research reference and also as the means to teach and study this active area of research in general relativity.

Product Description: Albert Einstein, one of the most prolific scientists of the twentieth century, developed the theory of relativity which was crucial for the advancement of modern physics. Young Einstein identified a paradox between Newtonian Mechanics and Maxwell’s equations which pointed to a flawed understanding of space and time by the scientists of the day...read more

Product Description: The correct interpretation of Kepler's third law is Gravitational force is equal to acceleration times the area: F = a .A. It is shown that the sequential mean distances of the planets from the center of the sun follow an exponential law, concluding that gravitation is quantized...read more

Product Description: Scientists throughout history have made amazing discoveries, but few findings have rocked our world and our view of our place in the universe like the theory of relativity. Albert Einstein's observations and studies leading up to this game-changing discovery are recounted here, as are modern-day applications and current findings...read more

Product Description: A very attractive feature of the theory of general relativity is that it is a perfectexampleofa“falsi?able”theory:notunableparameterispresentinthe theory and therefore even a single experiment incompatible with a prediction of the theory would immediately lead to its inevitable rejection, at least in the physical regime of application of the aforementioned experiment...read more

Product Description: With a wide range of prominent authors from the field of relativistic celestial mechanics, this first volume of a two-volume series consists of reviews on a multitude of advanced topics in the area, covering both classical as well as modern developments, while focusing on applications and experiments...read more

Product Description: A Broad Perspective on the Theory of General Relativity and Its Observable ImplicationsGeneral Relativity: Basics and Beyond familiarizes students and beginning researchers with the basic features of the theory of general relativity as well as some of its more advanced aspects...read more

Product Description: This book is a solution of the so-called Einstein's Machian Program, that left Einstein very angry and frustrated, for he was unable to reconcile Relativity Theories with Ernst Mach ideas, that by looking into the Cosmos as a whole, absolute motion could be found...read more

Product Description: This book is an introduction to the General Relativity Theory (GRT) and to the solution of the Pioneers Anomaly by means of relativistic cosmology, a study that is designed to be understood by undergraduate and graduate students alike in the fields of theoretical physics, applied mathematics and space engineering...read more

Product Description: Canonical methods are a powerful mathematical tool within the field of gravitational research, both theoretical and experimental, and have contributed to a number of recent developments in physics. Providing mathematical foundations as well as physical applications, this is the first systematic explanation of canonical methods in gravity...read more

Product Description: This book provides a new approach toward the end results of the General Theory of Relativity (GTR), based on the law conservation of energy, though in the broader sense of the concept of ''energy'', thus embodying the mass and energy equivalence of the Special Theory of Relativity (STR)...read more

Product Description: The book surveys mathematical relations between classical and quantum mechanics, gravity, time and thermodynamics from various points of view and many sources (with appropriate attribution). The emergence theme is developed with an emphasis on the meaning via mathematics...read more