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Introduction to Einstein`s Theory of Relativity: From Newton`s Attractive Gravity to the Repulsive Gravity of Vacuum Energy, Grшn Шyvind


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Автор: Grшn Шyvind
Название:  Introduction to Einstein`s Theory of Relativity: From Newton`s Attractive Gravity to the Repulsive Gravity of Vacuum Energy
ISBN: 9783030438616
Издательство: Springer
Классификация:


ISBN-10: 3030438619
Обложка/Формат: Paperback
Страницы: 520
Вес: 0.76 кг.
Дата издания: 28.05.2020
Серия: Undergraduate texts in physics
Язык: English
Издание: 2nd ed. 2020
Иллюстрации: 15 illustrations, color; 92 illustrations, black and white; xviii, 459 p. 107 illus., 15 illus. in color.
Размер: 234 x 155 x 36
Читательская аудитория: Professional & vocational
Подзаголовок: From newton`s attractive gravity to the repulsive gravity of vacuum energy
Ссылка на Издательство: Link
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Поставляется из: Германии
Описание: Newtons law of universal gravitation.- The force law of gravitation.- Newtons law of gravitation in local form.- Tidal forces.- The principle of equivalence.- The general principle of relativity.- The covariance principle.- Machs principle.- The special theory of relativity.- Coordinate systems and Minkowski diagrams.- Synchronization of clocks.- The Doppler effect.- Relativistic time-dilation.- The relativity of simultaneity.- The Lorentz contraction.- The Lorentz transformation.- The Lorentz invariant interval.- The twin paradox.- Hyperbolic motion.- Energy and mass.- Relativistic increase of mass.- Tachyons.- Magnetism as a relativistic second order effect.- Vectors, tensors and forms.- Vectors.- Four-vectors.- Tangent vector fields and coordinate vectors.- Coordinate transformations.- Structure coefficients.- Tensors.- Transformation of tensor components.- Transformation of basis 1-forms.- The metric tensor.- Forms.- Rotating and accelerated reference frames.- Rotating reference frames.- The spatial metric tensor.- Angular acceleration of the rotating frame.- Gravitational time dilation.- Path of photons emitted from the axis in a rotating frame.- The Sagnac effect.- Uniformly accelerated reference frames.- Covariant differentiation.- Differentiation of forms.- Exterior differentiation.- Covariant derivative.- The Christoffel symbols.- Geodetic curves.- The covariant Euler-Lagrange equations.- Application of the Lagrange formalism to free particles.- Equation of motion from Lagranges equations.- Geodesic worldliness in spacetime.- Gravitational Doppler effect.- The Koszul connection.- Connection coefficients and structure coefficients in a Riemannian (torsion free) space.- Covariant differentiation of vectors, forms and tensors.- Covariant differentiation of a vector field in an arbitrary basis.- Covariant differentiation of forms.- Generalization for tensors of higher rank.- The Cartan connection.- Curvature.- The Riemann curvature tensor.- Differential geometry of surfaces.- Surface curvature using the Cartan formalism.- The Ricci identity.- Bianchis 1st identity.- Bianchis 2nd identity.- Einsteins field equations.- Energy-momentum conservation.- Newtonian fluid.- Perfect fluids.- Einsteins curvature tensor.- Einsteins field equations.- The geodesic postulate as a consequence of the field equations.- The Schwarschild spacetime.- Schwarzschilds exterior solution.- Radial free fall in Schwarzschild spacetime.- Light cones in Schwarzschild spacetime.- Analytical extension of the Schwarzschild coordinates.- Embedding of the Schwarzschild metric.- Deceleration of light.- Particle trajectories in Schwarzschild 3-space.- Motion in the equatorial plane.- Classical tests of Einsteins general theory of relativity.- The Hafele-Keating experiment.- Mercurys perihelion precession.- Deflection of light.- Black holes.- Surface gravity: gravitational acceleration on the horizon of a black hole.- Hawking radiation: radiation from a black hole.- Rotating black holes: The Kerr metric.- Zero-angular-momentum-observers.- Does the Kerr space have a horizon?.- Schwarzschilds interior solution.- Newtonian incompressible star.- The pressure contribution to the gravitational mass of a static, spherically symmetric system.- The Tolman-Oppenheimer-Volkov equation.- An exact solution for incompressible stars - Schwarzschilds interior solution.- Cosmology.- Comoving coordinate system.- Curvature isotropy - the Robertson-Walker metric.- Cosmic dynamics.- Hubbles law.- Cosmological redshift of light.- Cosmic fluids.- Isotropic and homogeneous universe models.- Some cosmological models.- Radiation dominated model.- Dust dominated model.- Transition from radiation to matter dominated universe.- Friegmann-Lemaоtre model.- Inflationary cosmology.- Problems with the Big Bang models.- Cosmic inflation.


It`s about Time: Understanding Einstein`s Relativity

Автор: Mermin N. David
Название: It`s about Time: Understanding Einstein`s Relativity
ISBN: 0691218773 ISBN-13(EAN): 9780691218779
Издательство: Wiley
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Цена: 2216.00 р.
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Описание:

In It's About Time, N. David Mermin asserts that relativity ought to be an important part of everyone's education--after all, it is largely about time, a subject with which all are familiar. The book reveals that some of our most intuitive notions about time are shockingly wrong, and that the real nature of time discovered by Einstein can be rigorously explained without advanced mathematics. This readable exposition of the nature of time as addressed in Einstein's theory of relativity is accessible to anyone who remembers a little high school algebra and elementary plane geometry.


The book evolved as Mermin taught the subject to diverse groups of undergraduates at Cornell University, none of them science majors, over three and a half decades. Mermin's approach is imaginative, yet accurate and complete. Clear, lively, and informal, the book will appeal to intellectually curious readers of all kinds, including even professional physicists, who will be intrigued by its highly original approach.

Introducing einstein`s relativity

Автор: D`inverno, R.a.
Название: Introducing einstein`s relativity
ISBN: 0198596863 ISBN-13(EAN): 9780198596868
Издательство: Oxford Academ
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Цена: 8712.00 р.
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Описание: Provides students with a mathematical introduction coupled to an understanding of the physical insights needed to explore the subject.

Einstein`s Apple: Homogeneous Einstein Fields

Автор: Schucking Engelbert L., Surowitz Eugene J.
Название: Einstein`s Apple: Homogeneous Einstein Fields
ISBN: 9814630071 ISBN-13(EAN): 9789814630078
Издательство: World Scientific Publishing
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Цена: 15840.00 р.
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Описание: We lift a veil of obscurity from a branch of mathematical physics in a straightforward manner that can be understood by motivated and prepared undergraduate students as well as graduate students specializing in relativity. Our book on 'Einstein Fields' clarifies Einstein's very first principle of equivalence (1907) that is the basis of his theory of gravitation. This requires the exploration of homogeneous Riemannian manifolds, a program that was suggested by Elie Cartan in 'Riemannian Geometry in an Orthogonal Frame,' a 2001 World Scientific publication.Einstein's first principle of equivalence, the key to his General Relativity, interprets homogeneous fields of acceleration as gravitational fields. The general theory of these 'Einstein Fields' is given for the first time in our monograph and has never been treated in such exhaustive detail. This study has yielded significant new insights to Einstein's theory. The volume is heavily illustrated and is accessible to well-prepared undergraduate and graduate students as well as the professional physics community.

Einstein`S Apple: Homogeneous Einstein Fields

Автор: Schucking Engelbert L & Surowitz Eugene J
Название: Einstein`S Apple: Homogeneous Einstein Fields
ISBN: 981314159X ISBN-13(EAN): 9789813141599
Издательство: World Scientific Publishing
Цена: 6336.00 р.
Наличие на складе: Есть у поставщика Поставка под заказ.

Описание: We lift a veil of obscurity from a branch of mathematical physics in a straightforward manner that can be understood by motivated and prepared undergraduate students as well as graduate students specializing in relativity. Our book on 'Einstein Fields' clarifies Einstein's very first principle of equivalence (1907) that is the basis of his theory of gravitation. This requires the exploration of homogeneous Riemannian manifolds, a program that was suggested by Elie Cartan in 'Riemannian Geometry in an Orthogonal Frame,' a 2001 World Scientific publication.Einstein's first principle of equivalence, the key to his General Relativity, interprets homogeneous fields of acceleration as gravitational fields. The general theory of these 'Einstein Fields' is given for the first time in our monograph and has never been treated in such exhaustive detail. This study has yielded significant new insights to Einstein's theory. The volume is heavily illustrated and is accessible to well-prepared undergraduate and graduate students as well as the professional physics community.

Einstein`s Unification

Автор: Jeroen van Dongen
Название: Einstein`s Unification
ISBN: 1108703038 ISBN-13(EAN): 9781108703031
Издательство: Cambridge Academ
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Цена: 6019.00 р.
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Описание: Shedding new light on Einstein`s later work, this book explores Einstein`s belief that he could find a unified theory of all of nature`s forces by repeating the methods he used when formulating general relativity. This book will interest physicists, historians and philosophers of science.

Interacting Gravitational, Electromagnetic, Neutrino And Other Waves: In The Context Of Einstein`s General Theory Of Relativity

Автор: Wang Anzhong
Название: Interacting Gravitational, Electromagnetic, Neutrino And Other Waves: In The Context Of Einstein`s General Theory Of Relativity
ISBN: 9811211485 ISBN-13(EAN): 9789811211485
Издательство: World Scientific Publishing
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Цена: 14256.00 р.
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Описание:

This book is devoted to researchers who would like to investigate interactions among gravitational waves and matter fields beyond linear order, including the phenomena of memory effects, gravitational Faraday rotation, soft theorems, and formations of spacetime singularities due to the mutual focus of gravitational waves. Readers only require a basic understanding of general relativity to understand the materials.

The book starts with an overview on the fundamentals of the Newman-Penrose formalism and a brief introduction to distribution theory, with which the author systematically develops a mathematical description of spacetimes of colliding plane waves. Then, the author presents a frame-independent definition of polarization of a plane gravitational wave in a curved spacetime, studies in detail the gravitational Faraday rotation of two plane gravitational waves, and shows that each of them can serve as a medium to the other precisely due to their nonlinear interactions. Exact solutions are also presented, which represent a variety of models including the collisions of two plane gravitational waves and the collisions of a plane gravitational wave with a dust shell, a massless scalar wave, an electromagnetic wave, or a neutrino wave. The formation of spacetime singularities due to nonlinear interactions and the effects of gravitational wave polarization on the nature of singularities are also explored.

What Is Relativity?: An Intuitive Introduction to Einstein`s Ideas, and Why They Matter

Автор: Bennett Jeffrey
Название: What Is Relativity?: An Intuitive Introduction to Einstein`s Ideas, and Why They Matter
ISBN: 023116727X ISBN-13(EAN): 9780231167277
Издательство: Wiley
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Цена: 2533.00 р.
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Описание: An entertaining introduction to Einstein`s theories of relativity, Bennett`s book proves anyone can grasp the basics of Einstein`s ideas. His intuitive, nonmathematical approach gives a wide audience its first real taste of how relativity works and why it is so important to science and the way we view ourselves as human beings.

Modifications of Einstein`s Theory of Gravity at Large Distances

Автор: Eleftherios Papantonopoulos
Название: Modifications of Einstein`s Theory of Gravity at Large Distances
ISBN: 3319100696 ISBN-13(EAN): 9783319100692
Издательство: Springer
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Цена: 14365.00 р.
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Описание: In the last few years modified gravity theories have been proposed as extensions of Einstein`s theory of gravity. LNP 863 Quantum Gravity and Quantum Cosmology) while its study at large scales is challenging because recent and upcoming observational results will provide important information on the validity of these modified theories.

Einstein`s General Theory of Relativity

Автор: ?yvind Gr?n; Sigbjorn Hervik
Название: Einstein`s General Theory of Relativity
ISBN: 144192406X ISBN-13(EAN): 9781441924063
Издательство: Springer
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Цена: 11753.00 р.
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Описание: This book introduces the general theory of relativity and includes applications to cosmology. Also included are some advanced topics not previously covered by textbooks, including Kaluza-Klein theory, Israel`s formalism and branes.

The Road to Relativity: The History and Meaning of Einstein`s  "The Foundation of General Relativity " Featuring the Original Manuscript of Eins

Автор: Gutfreund Hanoch, Renn Jurgen
Название: The Road to Relativity: The History and Meaning of Einstein`s "The Foundation of General Relativity " Featuring the Original Manuscript of Eins
ISBN: 0691175810 ISBN-13(EAN): 9780691175812
Издательство: Wiley
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Цена: 3168.00 р.
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Описание:

An annotated facsimile edition of Einstein's handwritten manuscript on the foundations of general relativity

This richly annotated facsimile edition of "The Foundation of General Relativity" introduces a new generation of readers to Albert Einstein's theory of gravitation. Written in 1915, this remarkable document is a watershed in the history of physics and an enduring testament to the elegance and precision of Einstein's thought. Presented here is a beautiful facsimile of Einstein's original handwritten manuscript, along with its English translation and an insightful page-by-page commentary that places the work in historical and scientific context. Hanoch Gutfreund and J rgen Renn's concise introduction traces Einstein's intellectual odyssey from special to general relativity, and their essay "The Charm of a Manuscript" provides a delightful meditation on the varied afterlife of Einstein's text. Featuring a foreword by John Stachel, this handsome edition also includes a biographical glossary of the figures discussed in the book, a comprehensive bibliography, suggestions for further reading, and numerous photos and illustrations throughout.

Einstein`s Jury: The Race to Test Relativity

Автор: Crelinsten Jeffrey
Название: Einstein`s Jury: The Race to Test Relativity
ISBN: 0691171076 ISBN-13(EAN): 9780691171074
Издательство: Wiley
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Цена: 4435.00 р.
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Описание:

Einstein's Jury is the dramatic story of how astronomers in Germany, England, and America competed to test Einstein's developing theory of relativity. Weaving a rich narrative based on extensive archival research, Jeffrey Crelinsten shows how these early scientific debates shaped cultural attitudes we hold today.


The book examines Einstein's theory of general relativity through the eyes of astronomers, many of whom were not convinced of the legitimacy of Einstein's startling breakthrough. These were individuals with international reputations to uphold and benefactors and shareholders to please, yet few of them understood the new theory coming from the pen of Germany's up-and-coming theoretical physicist, Albert Einstein. Some tried to test his theory early in its development but got no results. Others--through toil and hardship, great expense, and perseverance--concluded that it was wrong.


A tale of international competition and intrigue, Einstein's Jury brims with detail gleaned from Crelinsten's far-reaching inquiry into the history and development of relativity. Crelinsten concludes that the well-known British eclipse expedition of 1919 that made Einstein famous had less to do with the scientific acceptance of his theory than with his burgeoning public fame. It was not until the 1920s, when the center of gravity of astronomy and physics shifted from Europe to America, that the work of prestigious American observatories legitimized Einstein's work. As Crelinsten so expertly shows, the glow that now surrounds the famous scientist had its beginnings in these early debates among professional scientists working in the glare of the public spotlight.

-- "Publishers Weekly"

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