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    General Relativity for Mathematicians

    Posted By: AvaxGenius
    General Relativity for Mathematicians

    General Relativity for Mathematicians by Rainer K. Sachs , Hung-Hsi Wu
    English | PDF(True) | 1977 | 302 Pages | ISBN : 1461299055 | 24.6 MB

    This is a book about physics, written for mathematicians. The readers we have in mind can be roughly described as those who: I. are mathematics graduate students with some knowledge of global differential geometry 2. have had the equivalent of freshman physics, and find popular accounts of astrophysics and cosmology interesting 3. appreciate mathematical elarity, but are willing to accept physical motiva­ tions for the mathematics in place of mathematical ones 4. are willing to spend time and effort mastering certain technical details, such as those in Section 1. 1. Each book disappoints so me readers. This one will disappoint: 1. physicists who want to use this book as a first course on differential geometry 2. mathematicians who think Lorentzian manifolds are wholly similar to Riemannian ones, or that, given a sufficiently good mathematical back­ ground, the essentials of a subject !ike cosmology can be learned without so me hard work on boring detaiis 3. those who believe vague philosophical arguments have more than historical and heuristic significance, that general relativity should somehow be "proved," or that axiomatization of this subject is useful 4. those who want an encyclopedic treatment (the books by Hawking-Ellis [1], Penrose [1], Weinberg [1], and Misner-Thorne-Wheeler go further into the subject than we do; see also the survey article, Sachs-Wu [1]). 5. mathematicians who want to learn quantum physics or unified fieId theory (unfortunateIy, quantum physics texts all seem either to be for physicists, or merely concerned with formaI mathematics).

    Bryce DeWitt's Lectures on Gravitation: Edited by Steven M. Christensen (Repost)

    Posted By: AvaxGenius
    Bryce DeWitt's Lectures on Gravitation: Edited by Steven M. Christensen (Repost)

    Bryce DeWitt's Lectures on Gravitation: Edited by Steven M. Christensen by Bryce DeWitt
    English | PDF | 2011 | 285 Pages | ISBN : 3540369090 | 2.4 MB

    Bryce DeWitt, a student of Nobel Laureate Julian Schwinger, was himself one of the towering figures in 20th century physics, particularly renowned for his seminal contributions to quantum field theory, numerical relativity and quantum gravity. In late 1971 DeWitt gave a course on gravitation at Stanford University, leaving almost 400 pages of detailed handwritten notes. Written with clarity and authority, and edited by his former student Steven Christensen, these timeless lecture notes, containing material or expositions not found in any other textbooks, are a gem to be discovered or re-discovered by anyone seriously interested in the study of gravitational physics.

    An Introduction to the Relativistic Theory of Gravitation

    Posted By: AvaxGenius
    An Introduction to the Relativistic Theory of Gravitation

    An Introduction to the Relativistic Theory of Gravitation by Petr Hájíček
    English | PDF | 2008 | 289 Pages | ISBN : 3540786589 | 2.9 MB

    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.

    Handbook of Quantum Gravity

    Posted By: AvaxGenius
    Handbook of Quantum Gravity

    Handbook of Quantum Gravity by Cosimo Bambi, Leonardo Modesto, Ilya Shapiro
    English | EPUB (True) | 2024 | 4315 Pages | ISBN : 9819976804 | 235 MB

    The search for a theory of quantum gravity is one of the most important and fascinating problems in modern theoretical physics. While we do not have yet a complete theory of quantum gravity, significant advancements have been done in the past decades. In this handbook, every section is dedicated to a specific approach towards a theory of quantum gravity and is edited by the leading experts in the field. This book represents both a valuable resource for graduate students and an important reference for researchers in quantum gravity.

    Topics in the Foundations of General Relativity and Newtonian Gravitation Theory

    Posted By: roxul
    Topics in the Foundations of General Relativity and Newtonian Gravitation Theory

    David B. Malament, "Topics in the Foundations of General Relativity and Newtonian Gravitation Theory "
    English | ISBN: 0226502457 | 2012 | 368 pages | PDF | 2 MB

    At the Frontier of Spacetime: Scalar-Tensor Theory, Bells Inequality, Machs Principle, Exotic Smoothness

    Posted By: AvaxGenius
    At the Frontier of Spacetime: Scalar-Tensor Theory, Bells Inequality, Machs Principle, Exotic Smoothness

    At the Frontier of Spacetime: Scalar-Tensor Theory, Bells Inequality, Machs Principle, Exotic Smoothness by Torsten Asselmeyer-Maluga
    English | PDF (True) | 2016 | 326 Pages | ISBN : 3319312979 | 6.1 MB

    In this book, leading theorists present new contributions and reviews addressing longstanding challenges and ongoing progress in spacetime physics.

    Gravitation

    Posted By: hill0
    Gravitation

    Gravitation
    by Natalie Webb

    English | 2024 | ISBN: 1789451205 | 343 Pages | PDF, EPUB (True) | 81 MB

    Quantum Electromagnetics: A Local-Ether Wave Equation Unifying Quantum Mechanics, Electromagnetics, and Gravitation

    Posted By: roxul
    Quantum Electromagnetics: A Local-Ether Wave Equation Unifying Quantum Mechanics, Electromagnetics, and Gravitation

    Ching-Chuan Su, "Quantum Electromagnetics: A Local-Ether Wave Equation Unifying Quantum Mechanics, Electromagnetics, and Gravitation"
    English | ISBN: 9574110974 | 2005 | 242 pages | PDF | 19 MB

    Merging Processes in Galaxy Clusters

    Posted By: AvaxGenius
    Merging Processes in Galaxy Clusters

    Merging Processes in Galaxy Clusters by L. Feretti, I. M. Gioia, G. Giovannini
    English | PDF (True) | 2002 | 329 Pages | ISBN : 1402005318 | 16.6 MB

    Mergers are the mechanisms by which galaxy clusters are assembled through the hierarchical growth of smaller clusters and groups. Major cluster mergers are the most energetic events in the Universe since the Big Bang. Many of the observed properties of clusters depend on the physics of the merging process. These include substructure, shock, intra cluster plasma temperature and entropy structure, mixing of heavy elements within the intra cluster medium, acceleration of high-energy particles, formation of radio halos and the effects on the galaxy radio emission.

    Gravitational Lenses

    Posted By: AvaxGenius
    Gravitational Lenses

    Gravitational Lenses by Peter Schneider , Jürgen Ehlers , Emilio E. Falco
    English | PDF | 1992 | 564 Pages | ISBN : 3540665064 | 55.3 MB

    Light observed from distant objects is found to be deflected by the gravitational field of massive objects near the line of sight - an effect predicted by Einstein in his first paper setting forth the general theory of relativity, and confirmed by Eddington soon afterwards. If the source of the light is sufficiently distant and bright, and if the intervening object is massive enough and near enough to the line of sight, the gravitational field acts like a lens, focusing the light and producing one or more bright images of the source. This book, by renowned researchers in the field, begins by discussing the basic physics behind gravitational lenses: the optics of curved space-time. It then derives the appropriate equations for predicting the properties of these lenses. In addition, it presents up-to-date observational evidence for gravitational lenses and describes the particular properties of the observed cases. The authors also discuss applications of the results to problems in cosmology.

    Gravitation in Astrophysics

    Posted By: AvaxGenius
    Gravitation in Astrophysics

    Gravitation in Astrophysics: Cargèse 1986 by B. Carter, J. B. Hartle
    English | PDF | 1987 | 403 Pages | ISBN : 0306425904 | 37.7 MB

    With the discovery of pulsars, quasars, and galactic X-ray sources in the late 60's and early 70's, and the coincident expansion in the search for gravitational waves, rela­ tivistic gravity assumed an important place in the astrophysics of localized objects. Only by pushing Einstein's solar-system-tested general theory of relativity to the study of the extremes of gravitational collapse and its outcomes did it seem that one could explain these frontier astronomical phenomena. This conclusion continues to be true today. Relativistic gravity had always played the central role in cosmology. The discov­ ery of the cosmic background radiation in 1965, the increasing understanding of matter physics at high energies in the decades following, and the growing wealth of observations on the large scale structure meant that it was possible to make increasingly detailed mod­ els of the universe, both today and far in the past. This development, not accidentally, was contemporary to that for localized objects described above.

    Relativistic Quantum Theory of Atoms and Molecules: Theory and Computation (Repost)

    Posted By: AvaxGenius
    Relativistic Quantum Theory of Atoms and Molecules: Theory and Computation (Repost)

    Relativistic Quantum Theory of Atoms and Molecules: Theory and Computation by I. P. Grant
    English | PDF (True) | 2007 | 813 Pages | ISBN : 0387346716 | 7.2 MB

    Relativistic quantum electrodynamics, which describes the electromagneticinteractions of electrons and atomic nuclei, provides the basis for modeling the electronic structure of atoms, molecules and solids and of their interactions with photons and other projectiles. The theory underlying the widely used GRASP relativistic atomic structure program, the DARC electron-atom scattering code and the new BERTHA relativistic molecular structure program is presented in depth, together with computational aspects relevant to practical calculations. Along with an understanding of the physics and mathematics, the reader will gain some idea of how to use these programs to predict energy levels, ionization energies, electron affinities, transition probabilities, hyperfine effects and other properties of atoms and molecules.

    Springer Handbook of Spacetime

    Posted By: AvaxGenius
    Springer Handbook of Spacetime

    Springer Handbook of Spacetime by Abhay Ashtekar, Vesselin Petkov
    English | PDF (True) | 2014 | 883 Pages | ISBN : 3642419917 | 25.25 MB

    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.

    Exploring Science Through Science Fiction

    Posted By: AvaxGenius
    Exploring Science Through Science Fiction

    Exploring Science Through Science Fiction by Barry B. Luokkala
    English | PDF (True) | 2014 | 253 Pages | ISBN : 1461478901 | 3.2 MB

    The material in this book forms the basis of an interdisciplinary, college-level course, which uses science fiction film as a vehicle for exploring science concepts. Unlike traditional introductory-level courses, the science content is arranged according to major themes in science fiction, with a deliberate progression from the highly objective and discipline-specific (e.g. Reference Frames; Physics of Space Travel and Time Travel) to the very multi-disciplinary and thought-provoking (e.g. Human Teleportation; Science and Society). Over 100 references to science fiction films and television episodes are included, spanning more than 100 years of cinematic history. Some of these are conducive to calculations (solutions included).

    Deep Space Flight and Communications: Exploiting the Sun as a Gravitational Lens

    Posted By: AvaxGenius
    Deep Space Flight and Communications: Exploiting the Sun as a Gravitational Lens

    Deep Space Flight and Communications: Exploiting the Sun as a Gravitational Lens by Claudio Maccone
    English | PDF (True) | 2009 | 416 Pages | ISBN : 3540729429 | 4.88 MB

    The majority of books dealing with prospects for interstellar flight tackle the problem of the propulsion systems that will be needed to send a craft on an interstellar trajectory. The proposed book looks at two other, equally important aspects of such space missions, and each forms half of this two part book.