If the talented Russian physicist Alexander Alexandrovich Friedmann had to be introduced with a single sentence, the most appropriate sentence would be the title of his biography translated from the Russian: Alexander A. Friedmann: The Man who Made the Universe Expand. Indeed, he was the first to realize in 1922 that Einstein's equations have solutions which describe not only a stationary Universe as Einstein initially believed, but also a non-stationary world. Friedmann won the debate with Einstein over the admissibility of such solutions, but his life was too short and he could not see the triumph of his views when the experimental evidence fully supported his predictions and demonstrated that the Universe was expanding. This book contains three papers by Friedmann - "On the Curvature of Space", "On the Possibility of a World with a Constant Negative Curvature of Space", and "On the Geometry of Curved Spaces". The third paper is a 28-page manuscript (dated 15 April 1922) which has not been published even in Russian. Unlike the existing two English translations of Friedmann's 1922 and 1924 papers (done from the German publications), now these papers are translated directly from the original Russian texts.
Recent discoveries in cosmology have led to a bizarre new worldview that (to paraphrase Niels Bohr) may be crazy enough to be true. Just consider the litany of mind-boggling new ideas being bandied about lately: the acceleration of cosmic expansion, dark energy (on top of dark matter, yet!), primordial "ripples" in space-time, the quantum creation of the universe from nothing, eternal cosmic inflation, multiple universes . . .Sound crazy enough for you? Fortunately, the new theoretical advances also lead to testable predictions, and we may soon witness the confirmation of some of these predictions by fresh astronomical findings. Alex Vilenkin's own scientific work has been closely tied to the emergence of the new worldview, from the original ideas to the most recent developments. In Many Worlds in One, he gives an exciting, surprisingly entertaining firsthand account of the birth of the new cosmology, and its fascinatingand at times disturbingimplications.
By focusing on the mostly used variational methods, this monograph aspires to give a unified description and comparison of various ways of constructing conserved quantities for perturbations and to study symmetries in general relativity and modified theories of gravity. The main emphasis lies on the field-theoretical covariant formulation of perturbations, the canonical Noether approach and the Belinfante procedure of symmetrisation. The general formalism is applied to build the gauge-invariant cosmological perturbation theory, conserved currents and superpotentials to describe physically important solutions of gravity theories. Meticulous attention is given to the construction of conserved quantities in asymptotically-flat spacetimes as well as in asymptotically constant curvature spacetimes such as the Anti-de Sitter space. Significant part of the book can be used in graduate courses on conservation laws in general relativity. THE SERIES: DE GRUYTER STUDIES IN MATHEMATICAL PHYSICS The series is devoted to the publication of monographs and high-level texts in mathematical physics. They cover topics and methods in fields of current interest, with an emphasis on didactical presentation. The series will enable readers to understand, apply, and develop further, with sufficient rigor, mathematical methods to given problems in physics. The works in this series are aimed at advanced students and researchers in mathematical and theoretical physics. They can also serve as secondary reading for lectures and seminars at advanced levels.
This book is the first complete account of the scientific life and work of Edwin Hubble, whose discoveries firmly established the United States as the leading nation in observational astronomy. One of the outstanding astronomers of the twentieth century, Hubble discovered the expansion of the Universe. He opened the world of galaxies for science when he showed that spiral nebulae beyond the Milky Way are galaxies extending to the limits of the Universe, and participating in a general expansion of the cosmos. The exploding Universe of Hubble, now termed the Big Bang, determined the origin of the elements, of galaxies and of the stars. The second part of the book describes the fundamental discoveries on the nature of the Universe made subsequently, and thus sets his achievements in context. Written by two prominent astronomers who have built on Hubble's work, this book is a classic of science, setting out the thrilling story of the exploding Universe.
If the talented Russian physicist Alexander Alexandrovich Friedmann had to be introduced with a single sentence, the most appropriate sentence would be the title of his biography translated from the Russian: Alexander A. Friedmann: The Man who Made the Universe Expand. Indeed, he was the first to realize in 1922 that Einstein's equations have solutions which describe not only a stationary Universe as Einstein initially believed, but also a non-stationary world. Friedmann won the debate with Einstein over the admissibility of such solutions, but his life was too short and he could not see the triumph of his views when the experimental evidence fully supported his predictions and demonstrated that the Universe was expanding. This book contains three papers by Friedmann - "On the Curvature of Space", "On the Possibility of a World with a Constant Negative Curvature of Space", and "On the Geometry of Curved Spaces". The third paper is a 28-page manuscript (dated 15 April 1922) which has not been published even in Russian. Unlike the existing two English translations of Friedmann's 1922 and 1924 papers (done from the German publications), now these papers are translated directly from the original Russian texts.
This is the first English translation of the book The World as Space and Time (Мир как пространство и время) written by the great Russian physicist Alexander Friedmann who first showed in 1922 that Einstein's equations have solutions that describe a non-stationary Universe (later the experimental evidence did confirm that the Universe is expanding). The original Russian publication was in 1923. The book is one of the first introductions to the spacetime physics of the theory of relativity for a wider audience. Friedmann had succeeded in both making the book accessible to non-experts and providing rigorous explanations.
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