General Relativistic Dynamics

General Relativistic Dynamics
Author: Fred I. Cooperstock
Publisher: World Scientific
Total Pages: 243
Release: 2009
Genre: Science
ISBN: 9814271179

This book brings Einstein's general relativity into action in new ways at scales ranging from the tiny Planck scale to the scale of immense galactic clusters. It presents the case that Einstein's theory of gravity can describe the observed dynamics of galaxies without invoking the unknown OC dark matterOCO required in models based on Newtonian gravity. Drawing on the author's experience as a lecturer and on his own research, the book covers the essentials of Einstein's special and general relativity at a level accessible to undergraduate students. The early chapters provide a compact introduction to relativity for readers who have little or no background in the subject. Hermann Bondi's very transparent approach to special relativity is expanded to resolve the OC twin paradoxOCO using only elementary mathematics. In later chapters, general relativity is used to extend the concept of the Planck scale, to address the role of the cosmological term and to analyze the concept of OC time machinesOCO.

Relativity and Cosmology

Relativity and Cosmology
Author: Kip S. Thorne
Publisher: Princeton University Press
Total Pages: 416
Release: 2021-06-15
Genre: Science
ISBN: 0691207399

A groundbreaking textbook on twenty-first-century general relativity and cosmology Kip Thorne and Roger Blandford’s monumental Modern Classical Physics is now available in five stand-alone volumes that make ideal textbooks for individual graduate or advanced undergraduate courses on statistical physics; optics; elasticity and fluid dynamics; plasma physics; and relativity and cosmology. Each volume teaches the fundamental concepts, emphasizes modern, real-world applications, and gives students a physical and intuitive understanding of the subject. Relativity and Cosmology is an essential introduction to the subject, including remarkable recent advances. Written by award-winning physicists who have made fundamental contributions to the field and taught it for decades, the book differs from most others on the subject in important ways. It highlights recent transformations in our understanding of black holes, gravitational waves, and the cosmos; it emphasizes the physical interpretation of general relativity in terms of measurements made by observers; it explains the physics of the Riemann tensor in terms of tidal forces, differential frame dragging, and associated field lines; it presents an astrophysically oriented description of spinning black holes; it gives a detailed analysis of an incoming gravitational wave’s interaction with a detector such as LIGO; and it provides a comprehensive, in-depth account of the universe’s evolution, from its earliest moments to the present. While the book is designed to be used for a one-quarter or full-semester course, it goes deep enough to provide a foundation for understanding and participating in some areas of cutting-edge research. Includes many exercise problems Features color figures, suggestions for further reading, extensive cross-references, and a detailed index Optional “Track 2” sections make this an ideal book for a one-quarter or one-semester course An online illustration package is available to professors The five volumes, which are available individually as paperbacks and ebooks, are Statistical Physics; Optics; Elasticity and Fluid Dynamics; Plasma Physics; and Relativity and Cosmology.

Relativistic Cosmology

Relativistic Cosmology
Author: Dr. Amit Prakash
Publisher: BlueRose Publishers
Total Pages: 110
Release: 2020-06-03
Genre: Mathematics
ISBN:

Relativistic Cosmology is an exciting update of mathematical interpretation of the universe. It is aimed primarily at advanced post graduate students in mathematics as well as physics and astronomy, but is also useful as a supplementary text at higher level as research scholars. This book deals with observational results, descriptions of special and general theory of relativity and applications of relativistic mechanics and relativistic thermodynamics to cosmology. This book is concerned mainly with various models that have been proposed to explain the large scale structure of the universe. Even a very knowledgeable student of the Cosmology will find much new information in this book. While the explanatory discussions are brief, they are sufficiently substantive to serve the subject in the question and to pique further interest in the topic. This book is not merely written or complied, it is crafted. It is designed for a specific audience and the texture and sensory format is carefully chosen for the audience. This is a wonderful book that presents an eclectic selection of cosmological concepts and concerned calculations. It is an ideal text book for the era of precision cosmology in the accelerating universe. This book, as it is hoped, will certainly find a warm reception in the hands of the readers.

Relativity, Thermodynamics, and Cosmology

Relativity, Thermodynamics, and Cosmology
Author: Richard Chace Tolman
Publisher: Courier Corporation
Total Pages: 532
Release: 1987-01-01
Genre: Science
ISBN: 0486653838

Landmark study discusses Einstein's theory, extends thermodynamics to special and general relativity, and also develops the applications of relativistic mechanics and thermodynamics to cosmological models.

Essential Relativity

Essential Relativity
Author: W. Rindler
Publisher: Springer Science & Business Media
Total Pages: 304
Release: 1977-05-05
Genre: Science
ISBN: 9783540079705

Relativistic cosmology has in recent years become one of the most exciting and active branches of current research. In conference after conference the view is expressed that cosmology today is where particle physics was forty years ago, with major discoveries just waiting to happen. Also gravitational wave detectors, presently under construction or in the testing phase, promise to open up an entirely novel field of physics. The book's basic purpose is to make relativity come alive conceptually. Hence the emphasis on the foundations and the logical subtleties rather than on the mathematics or the detailed experiments per se.

General Relativity and Cosmology

General Relativity and Cosmology
Author: Benjamin Phillips
Publisher: Willford Press
Total Pages: 223
Release: 2021-11-16
Genre: Science
ISBN: 9781647283551

General relativity is the theory of gravitation which provides a complete description of gravity as a geometric property of space and time. The understanding of how matter and radiation warps the geometry of space and time is governed by the Einstein field equations. This theory departs significantly from classical physics especially in relation to the geometry of space, the passage of time, the propagation of light and the motion of bodies in free fall. This is evident in its treatment of gravitational time delay, gravitational time dilation, the gravitational redshift of light and gravitational lensing. The study of the origin and evolution of the universe, starting from the Big Bang to the present and the description of its ultimate fate in the future is under the domain of cosmology. It further studies the large scale dynamics and structures of the universe. There have been significant advances in our understanding of the universe, due to advances in the observations of the microwave background, gravitational lensing and distant supernovae. The detection of gravitational waves in recent times has further strengthened the theories of the Big Bang and cosmic inflation. This book contains some path-breaking studies in the field of cosmology. It provides comprehensive insights into general relativity and its ramifications relative to the understanding of the universe and its dynamics. Scientists and students actively engaged in these areas will find this book full of crucial and unexplored concepts.

General Relativity and Cosmology with Engineering Applications

General Relativity and Cosmology with Engineering Applications
Author: Harish Parthasarathy
Publisher: CRC Press
Total Pages: 691
Release: 2021-03-30
Genre: Science
ISBN: 1000387658

This is a reference book for researchers working in the field of general relativity, quantum mechanics and quantum gravity. A major part of the book deals with the formulation of special relativistic mechanics, special relativistic fluid dynamics and its generalization to general relativity where the gravitational field is described by a metric tensor. Emphasis is laid on the fact that the general theory of relativity is of tensorial character under all dieomorphisms of space-time and hence its field equations, namely the Einstein field equations for gravitation, the Maxwell equations in a curved space-time geometry and the fluid dynamical equations in curved space time are all valid for all observers in the universe. The emphasis throughout is on the fact that matter generates a gravitational field described by a metric that has a non-vanishing curvature tensor and hence such space-times are inherently curved, ie, cannot be transformed into Minkowsian form. There is a final section on quantum mechanics and quantum field theory which introduces supersymmetry and quantum gravity to the reader. The reader after going through this book will be sufficiently well equipped to start research in quantum gravity, i.e, background independent physics which is as yet an unsolved problem owing to renormalization problems. Note: T& F does not sell or distribute the Hardback in India, Pakistan, Nepal, Bhutan, Bangladesh and Sri Lanka.

Einstein's General Theory of Relativity

Einstein's General Theory of Relativity
Author: Øyvind Grøn
Publisher: Springer Science & Business Media
Total Pages: 540
Release: 2007-05-04
Genre: Science
ISBN: 0387691995

This book introduces the general theory of relativity and includes applications to cosmology. The book provides a thorough introduction to tensor calculus and curved manifolds. After the necessary mathematical tools are introduced, the authors offer a thorough presentation of the theory of relativity. Also included are some advanced topics not previously covered by textbooks, including Kaluza-Klein theory, Israel's formalism and branes. Anisotropic cosmological models are also included. The book contains a large number of new exercises and examples, each with separate headings. The reader will benefit from an updated introduction to general relativity including the most recent developments in cosmology.

Space-Time, Relativity, and Cosmology

Space-Time, Relativity, and Cosmology
Author: Jose Wudka
Publisher: Cambridge University Press
Total Pages: 307
Release: 2006-07-20
Genre: Science
ISBN: 0521822807

Space-Time, Relativity, and Cosmology provides a historical introduction to modern relativistic cosmology and traces its historical roots and evolution from antiquity to Einstein. The topics are presented in a non-mathematical manner, with the emphasis on the ideas that underlie each theory rather than their detailed quantitative consequences. A significant part of the book focuses on the Special and General theories of relativity. The tests and experimental evidence supporting the theories are explained together with their predictions and their confirmation. Other topics include a discussion of modern relativistic cosmology, the consequences of Hubble's observations leading to the Big Bang hypothesis, and an overview of the most exciting research topics in relativistic cosmology. This textbook is intended for introductory undergraduate courses on the foundations of modern physics. It is also accessible to advanced high school students, as well as non-science majors who are concerned with science issues.