Relativity

Relativity Author : Albert Einstein
Release : 2009-01
Publisher : Red & Black Pub
ISBN : 9781934941461
File Size : 22.21 MB
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The theory of relativity, explained by the greatest mind of the 20th century. Albert Einstein discusses the special and general theories of relativity, and the core concepts of modern cosmology, including time dilation, the spacetime continuum, and the energy-mass relationship, in simple non-mathematical terms.

Cosmological Special Relativity

Cosmological Special Relativity Author : Moshe Carmeli
Release : 2002
Publisher : World Scientific
ISBN : 9789812777553
File Size : 88.83 MB
Format : PDF
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This book presents Einstein's theory of space and time in detail, and describes the large-scale structure of space, time and velocity as a new cosmological special relativity. A cosmological Lorentz-like transformation, which relates events at different cosmic times, is derived and applied. A new law of addition of cosmic times is obtained, and the inflation of the space at the early universe is derived, both from the cosmological transformation. The relationship between cosmic velocity, acceleration and distances is given. In the appendices gravitation is added in the form of a cosmological general relativity theory and a five-dimensional unified theory of space, time and velocity. This book is of interest to cosmologists, astrophysicists, theoretical physicists, mathematical physicists and mathematicians.

Einstein's Space-Time

Einstein's Space-Time Author : Rafael Ferraro
Release : 2007-06-07
Publisher : Springer Science & Business Media
ISBN : 0387699465
File Size : 23.71 MB
Format : PDF, Kindle
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This excellent textbook offers a unique take on relativity theory, setting it in its historical context. Ideal for those interested in relativity and the history of physics, the book contains a complete account of special relativity that begins with the historical analysis of the reasons that led to a change in our view of space and time. Its aim is to foster a deep understanding of relativistic spacetime and its consequences for Dynamics.

General Relativity and Cosmology

General Relativity and Cosmology Author : SUSHIL KUMAR SRIVASTAVA
Release : 2008-06-10
Publisher : PHI Learning Pvt. Ltd.
ISBN : 9788120334373
File Size : 40.23 MB
Format : PDF, Docs
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The general theory of relativity and its applications to cosmology requires very deep understanding of mathematics and physics. Keeping this in mind, this self-contained textbook is written which addresses to general relativity and cosmology. In this book, the attempts have been made to explain mathematicians’ notions in the language of a physicist. Primarily intended for the postgraduate students of mathematics and physics, it gives equal importance to mathematical and physical aspects, and thus sharpens understanding of the theory. The text covers many modern concepts and current developments in gravity and cosmology including Brans-Dicke theory, higher-derivative gravity, Kaluza-Klein theory with extension to higher-dimensions. Besides PG students this book would also be useful for research scholars. KEY FEATURES  Highlights special features of general relativity and cosmology.  Discusses structure formation in the universe, inflationary models and dark energy models with special focus on basic concepts.  Provides problems at the end of each chapter to stimulate thinking.  Reveals interconnections between required mathematical concepts.  Explains “how to apply mathematical concepts to physical problems”.  Discusses lagrangian formulation of the field theory and action principle as it provides a powerful tool to derive field equations and energy-momentum tensor components.

Relativity and Cosmology

Relativity and Cosmology Author : Howard Percy Robertson
Release : 1968
Publisher :
ISBN :
File Size : 82.1 MB
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Euclidean space -- Classical electromagnetism -- The Lorentz transformation -- Electromagnetism in special relativity -- Matter -- Special-relativistic gravitation theories -- Differential geoemtry -- Riemannian geometry -- General relativity -- Seclected topics in general relativity -- Inertial frames -- Equations of motion -- Automorphisms -- Foundations of cosmology -- Observable quantities -- Speical cosmological models -- General-relativistic cosmology -- Cosmological observations.

Space-Time, Relativity, and Cosmology

Space-Time, Relativity, and Cosmology Author : Jose Wudka
Release : 2006-07-20
Publisher : Cambridge University Press
ISBN : 0521822807
File Size : 55.38 MB
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Summary: 'Space-Time, Relativity, and Cosmology' uses a historical perspective to describe the evolution of modern ideas about space and time. It is ideal for physics undergraduates and high-school students, non-science majors and general readers.

A College Course on Relativity and Cosmology

A College Course on Relativity and Cosmology Author : Ta-Pei Cheng
Release : 2015-06-18
Publisher : Oxford University Press, USA
ISBN : 0199693412
File Size : 67.19 MB
Format : PDF
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Einstein's general theory of relativity is introduced in this advanced undergraduate textbook. Without an over emphasis on the difficult mathematics of tensor analysis, the book presents the curved spacetime theory of gravitation. The phenomena of gravitational light deflection, the precession of a planet's orbit, and black holes are discussed with technical detail. The book has an extensive treatment of cosmology from primordial inflation, cosmic microwavebackground to the dark energy that propels an accelerating universe. The book is the undergraduate edition of the author's previous work, Relativity, Gravitation and Cosmology: A Basic Introduction,published as part of the Oxford Master Series in Physics. This college edition concentrates on the core elements of the subject making it suitable for a one-semester course at the undergraduate level. It can also serve as an accessible introduction to general relativity and cosmology for those readers who want to study the subject on their own.

Relativity, Thermodynamics, and Cosmology

Relativity, Thermodynamics, and Cosmology Author : Richard Chace Tolman
Release : 1987
Publisher : Courier Corporation
ISBN : 0486653838
File Size : 43.49 MB
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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.

Springer Handbook of Spacetime

Springer Handbook of Spacetime Author : Abhay Ashtekar
Release : 2014-09-01
Publisher : Springer
ISBN : 3642419925
File Size : 74.58 MB
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The Springer Handbook of Spacetime is dedicated to the ground-breaking paradigm shifts embodied in the two relativity theories, and describes in detail the profound reshaping of physical sciences they ushered in. It includes in a single volume chapters on foundations, on the underlying mathematics, on physical and astrophysical implications, experimental evidence and cosmological predictions, as well as chapters on efforts to unify general relativity and quantum physics. The Handbook can be used as a desk reference by researchers in a wide variety of fields, not only by specialists in relativity but also by researchers in related areas that either grew out of, or are deeply influenced by, the two relativity theories: cosmology, astronomy and astrophysics, high energy physics, quantum field theory, mathematics, and philosophy of science. It should also serve as a valuable resource for graduate students and young researchers entering these areas, and for instructors who teach courses on these subjects. The Handbook is divided into six parts. Part A: Introduction to Spacetime Structure. Part B: Foundational Issues. Part C: Spacetime Structure and Mathematics. Part D: Confronting Relativity theories with observations. Part E: General relativity and the universe. Part F: Spacetime beyond Einstein.

An Introduction to Tensor Calculus

An Introduction to Tensor Calculus Author : Derek F. Lawden
Release : 2012-03-07
Publisher : Courier Corporation
ISBN : 9780486132143
File Size : 49.89 MB
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This elementary introduction pays special attention to aspects of tensor calculus and relativity that students tend to find most difficult. Its use of relatively unsophisticated mathematics in the early chapters allows readers to develop their confidence within the framework of Cartesian coordinates before undertaking the theory of tensors in curved spaces and its application to general relativity theory. Topics include the special principle of relativity and Lorentz transformations; orthogonal transformations and Cartesian tensors; special relativity mechanics and electrodynamics; general tensor calculus and Riemannian space; and the general theory of relativity, including a focus on black holes and gravitational waves. The text concludes with a chapter offering a sound background in applying the principles of general relativity to cosmology. Numerous exercises advance the theoretical developments of the main text, thus enhancing this volume’s appeal to students of applied mathematics and physics at both undergraduate and postgraduate levels. Preface. List of Constants. References. Bibliography.

An Introduction to General Relativity and Cosmology

An Introduction to General Relativity and Cosmology Author : Jerzy Plebanski
Release : 2006-08-14
Publisher : Cambridge University Press
ISBN : 113945840X
File Size : 30.3 MB
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General relativity is a cornerstone of modern physics, and is of major importance in its applications to cosmology. Plebanski and Krasinski are experts in the field and in this book they provide a thorough introduction to general relativity, guiding the reader through complete derivations of the most important results. Providing coverage from a unique viewpoint, geometrical, physical and astrophysical properties of inhomogeneous cosmological models are all systematically and clearly presented, allowing the reader to follow and verify all derivations. For advanced undergraduates and graduates in physics and astronomy, this textbook will enable students to develop expertise in the mathematical techniques necessary to study general relativity.

Spacetime and Geometry

Spacetime and Geometry Author : Sean M. Carroll
Release : 2019-07-31
Publisher : Cambridge University Press
ISBN : 1108488390
File Size : 83.35 MB
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Spacetime and Geometry is an introductory textbook on general relativity, specifically aimed at students. Using a lucid style, Carroll first covers the foundations of the theory and mathematical formalism, providing an approachable introduction to what can often be an intimidating subject. Three major applications of general relativity are then discussed: black holes, perturbation theory and gravitational waves, and cosmology. Students will learn the origin of how spacetime curves (the Einstein equation) and how matter moves through it (the geodesic equation). They will learn what black holes really are, how gravitational waves are generated and detected, and the modern view of the expansion of the universe. A brief introduction to quantum field theory in curved spacetime is also included. A student familiar with this book will be ready to tackle research-level problems in gravitational physics.

Thinking About Space and Time

Thinking About Space and Time Author : Claus Beisbart
Release : 2020-11-16
Publisher : Birkhäuser
ISBN : 9783030477813
File Size : 23.38 MB
Format : PDF
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This volume offers an integrated understanding of how the theory of general relativity gained momentum after Einstein had formulated it in 1915. Chapters focus on the early reception of the theory in physics and philosophy and on the systematic questions that emerged shortly after Einstein's momentous discovery. They are written by physicists, historians of science, and philosophers, and were originally presented at the conference titled Thinking About Space and Time: 100 Years of Applying and Interpreting General Relativity, held at the University of Bern from September 12-14, 2017. By establishing the historical context first, and then moving into more philosophical chapters, this volume will provide readers with a more complete understanding of early applications of general relativity (e.g., to cosmology) and of related philosophical issues. Because the chapters are often cross-disciplinary, they cover a wide variety of topics related to the general theory of relativity. These include: Heuristics used in the discovery of general relativity Mach's Principle The structure of Einstein's theory Cosmology and the Einstein world Stability of cosmological models The metaphysical nature of spacetime The relationship between spacetime and dynamics The Geodesic Principle Symmetries Thinking About Space and Time will be a valuable resource for historians of science and philosophers who seek a deeper knowledge of the (early and later) uses of general relativity, as well as for physicists and mathematicians interested in exploring the wider historical and philosophical context of Einstein's theory.

Relativity, Gravitation and Cosmology

Relativity, Gravitation and Cosmology Author : Robert J. Lambourne
Release : 2010-06
Publisher : Cambridge University Press
ISBN : 9780521131384
File Size : 59.57 MB
Format : PDF
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The textbook introduces students to basic geometric concepts, such as metrics, connections and curvature, before examining general relativity in more detail. It shows the observational evidence supporting the theory, and the description general relativity provides of black holes and cosmological spacetimes. --

Introduction to General Relativity and Cosmology

Introduction to General Relativity and Cosmology Author : Christian G. Böhmer
Release : 2016-10-06
Publisher : Essential Textbooks in Physics
ISBN : 9781786341181
File Size : 87.94 MB
Format : PDF
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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.

Gravitation and Spacetime

Gravitation and Spacetime Author : Hans C. Ohanian
Release : 2013-04-08
Publisher : Cambridge University Press
ISBN : 1107012945
File Size : 58.26 MB
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This text provides a quantitative introduction to general relativity for advanced undergraduate and graduate students.

Relativity, Gravitation and Cosmology

Relativity, Gravitation and Cosmology Author : Ta-Pei Cheng
Release : 2010-01
Publisher : Oxford University Press
ISBN : 0199573638
File Size : 20.45 MB
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This book provides an introduction to Einstein's general theory of relativity. A "physics-first" approach is adopted so that interesting applications come before the more difficult task of solving the Einstein equation. The book includes extensive coverage of cosmology, and is designed to allow readers to study the subject alone.

Scale Relativity and Fractal Space-time

Scale Relativity and Fractal Space-time Author : Laurent Nottale
Release : 2011
Publisher : World Scientific
ISBN : 1848166508
File Size : 83.96 MB
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This book provides a comprehensive survey of the state-of-the-art in the development of the theory of scale relativity and fractal space-time. It suggests an original solution to the disunified nature of the classical-quantum transition in physical systems, enabling quantum mechanics to be based on the principle of relativity provided this principle is extended to scale transformations of the reference system. In the framework of such a newly-generalized relativity theory (including position, orientation, motion and now scale transformations), the fundamental laws of physics may be given a general form that goes beyond and integrates the classical and the quantum regimes. A related concern of this book is the geometry of space-time, which is described as being fractal and nondifferentiable. It collects and organizes theoretical developments and applications in many fields, including physics, mathematics, astrophysics, cosmology and life sciences.