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Author: James B. Hartle
Publisher: Cambridge University Press
ISBN: 1316517543
Category : Science
Languages : en
Pages : 605
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Book Description
Best-selling, accessible physics-first introduction to GR uses minimal new mathematics and begins with the essential physical applications.
Author: James B. Hartle
Publisher: Cambridge University Press
ISBN: 1316517543
Category : Science
Languages : en
Pages : 605
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Book Description
Best-selling, accessible physics-first introduction to GR uses minimal new mathematics and begins with the essential physical applications.
Author: Anatoliĭ Alekseevich Logunov
Publisher:
ISBN:
Category : Science
Languages : en
Pages : 130
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Book Description
The relativistic theory of gravity presented in this work is constructed as a field theory of the gravitational field within the framework of special relativity theory. The starting point is the hypothesis that a universal characteristic of matter -- the energy-momentum tensor -- serves as the source of gravity. The gravitational field is considered to be a universal physical field with spins 2 and 0, owing to the action of which the effective Riemannian space arises. This permits finding a gauge group and unambiguously constructing the Lagrangian density of the gravitational field. The set of equations of this theory is generally covariant and form-invariant with respect to the Lorentz group. Here the introduction of the graviton mass into the theory is necessarily required. The graviton mass substantially influences the Universe evolution and alters the nature of the gravitational collapse. In the work a further development is presented of the ideas of H. Poincare, H. Minkowski, A. Einstein,D. Hilbert, N. Rosen, V.A. Fock, S. Gupta, W. Thirring and S. Weinberg in the theory of relativity and gravity.
Author: Petr Hajicek
Publisher: Springer Science & Business Media
ISBN: 3540786589
Category : Science
Languages : en
Pages : 290
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Book Description
The contemporary theoretical physics consists, by and large, of two independent parts. The rst is the quantum theory describing the micro-world of elementary p- ticles, the second is the theory of gravity that concerns properties of macroscopic systems such as stars, galaxies, and the universe. The relativistic theory of gr- itation which is known as general relativity was created, at the beginning of the last century, by more or less a single man from pure idea combinations and bold guessing. The task was to “marry” the theory of gravity with the theory of special relativity. The rst attempts were aimed at considering the gravitational potential as a eld in Minkowski space–time. All those attempts failed; it took 10 years until Einstein nally solved the problem. The dif culty was that the old theory of gravity as well as the young theory of special relativity had to be modi ed. The next 50 years were dif cult for this theory because its experimental basis remained weak and its complicated mathematical structure was not well understood. However, in the subsequent period this theory ourished. Thanks to improvements in the te- nology and to the big progress in the methods of astronomical observations, the amount of observable facts to which general relativity is applicable was consid- ably enlarged. This is why general relativity is, today, one of the best experimentally tested theories while many competing theories could be disproved. Also the conc- tual and mathematical fundamentals are better understood now.
Author: Richard N. Henriksen
Publisher: John Wiley & Sons
ISBN: 111995634X
Category : Science
Languages : en
Pages : 226
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Book Description
The book is intended to serve as lecture material for courses on relativity at undergraduate level. Although there has been much written on special relativity the present book will emphasize the real applications of relativity. In addition, it will be physically designed with the use of box summaries so as to allow easy access of practical results. The book will be composed of eight chapters. Chapter 1 will give an introduction to special relativity that is the world without gravity. Implications will be presented with emphasis on time dilation and the Doppler shift as practical considerations. In Chapter 2, the four-vector representation of events will be introduced. The bulk of this chapter will deal with flat space dynamics. This will require the generalization of Newton's first and second laws. Some important astronomical applications will be discussed in Chapter 3 and in Chapter 4 some engineering applications of special relativity such as atomic clocks will be presented. Chapter 5 will be dedicated to the thorny question of gravity. The physical motivation of the theory must be examined and the geometrical interpretation presented. Chapter 6 will present astronomical applications of relativistic gravity. These include the usual solar system tests; light bending, time delay, gravitational red-shift, precession of Keplerian orbits. Chapter 7 will be dedicated to relativistic cosmology. Many of the standard cosmological concepts will be introduced, being mathematically simple but conceptually subtle. The concluding chapter will be largely dedicated to the global positioning system as an engineering problem that requires both inertial and gravitational relativity. The large interferometers designed as gravitational wave telescopes will be discussed here.
Author: Hans Stephani
Publisher: Cambridge University Press
ISBN: 9780521379410
Category : Science
Languages : en
Pages : 340
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Book Description
This is an excellent introduction to the subjects of gravitation and space-time structure. It discusses the foundations of Riemann geometry; the derivation of Einstein field equations; linearised theory; far fields and gravitational waves; the invariant characterisation of exact solutions; gravitational collapse; cosmology as well as alternative gravitational theories and the problem of quantum gravity.
Author: Eric Poisson
Publisher: Cambridge University Press
ISBN: 1107032865
Category : Science
Languages : en
Pages : 795
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Book Description
A unique graduate textbook that develops powerful approximation methods and their applications to real-life astrophysical systems.
Author: Øyvind Grøn
Publisher: Springer Nature
ISBN: 3030438627
Category : Science
Languages : en
Pages : 536
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Book Description
The revised and updated 2nd edition of this established textbook provides a self-contained introduction to the general theory of relativity, describing not only the physical principles and applications of the theory, but also the mathematics needed, in particular the calculus of differential forms. Updated throughout, the book contains more detailed explanations and extended discussions of several conceptual points, and strengthened mathematical deductions where required. It includes examples of work conducted in the ten years since the first edition of the book was published, for example the pedagogically helpful concept of a "river of space" and a more detailed discussion of how far the principle of relativity is contained in the general theory of relativity. Also presented is a discussion of the concept of the 'gravitational field' in Einstein's theory, and some new material concerning the 'twin paradox' in the theory of relativity. Finally, the book contains a new section about gravitational waves, exploring the dramatic progress in this field following the LIGO observations. Based on a long-established masters course, the book serves advanced undergraduate and graduate level students, and also provides a useful reference for researchers.
Author: Anatoli Alekseevi Logunov
Publisher:
ISBN:
Category :
Languages : en
Pages : 0
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Book Description
Author: James B. Hartle
Publisher: Cambridge University Press
ISBN: 1009051334
Category : Science
Languages : en
Pages : 610
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Book Description
Renowned relativist James Hartle's fluent and accessible physics-first introduction to general relativity uses minimal new mathematics and begins with the essential physical applications. This ground-breaking text, reissued by Cambridge University Press, makes this fundamental theory accessible to virtually all physics majors.
Author: A.J. Kox
Publisher: Springer Science & Business Media
ISBN: 0817644547
Category : Science
Languages : en
Pages : 384
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Book Description
Outgrowth of 6th Int'l Conference on the History of General Relativity, held in Amsterdam on June 26-29, 2002 Contributions from notable experts offer both new and historical insights on gravitation, general relativity, cosmology, unified field theory, and the history of science Topics run gamet from detailed mathematical discussions to more personal recollections of relativity as seen through the eyes of the public and renowned relativists
