Noether Symmetries In Theories Of Gravity
DOWNLOAD
Download Noether Symmetries In Theories Of Gravity PDF/ePub or read online books in Mobi eBooks. Click Download or Read Online button to get Noether Symmetries In Theories Of Gravity book now. This website allows unlimited access to, at the time of writing, more than 1.5 million titles, including hundreds of thousands of titles in various foreign languages. If the content not found or just blank you must refresh this page
Noether Symmetries In Theories Of Gravity
DOWNLOAD
Author : Francesco Bajardi
language : en
Publisher: Cambridge University Press
Release Date : 2022-11-24
Noether Symmetries In Theories Of Gravity written by Francesco Bajardi and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-11-24 with Science categories.
This volume summarizes the many modified theories of gravity and shows how to select physically viable models using symmetry principles.
Noether S Theorem And Symmetry
DOWNLOAD
Author : P.G.L. Leach
language : en
Publisher: MDPI
Release Date : 2020-03-05
Noether S Theorem And Symmetry written by P.G.L. Leach and has been published by MDPI this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-03-05 with Science categories.
In Noether's original presentation of her celebrated theorem of 1918, allowances were made for the dependence of the coefficient functions of the differential operator which generated the infinitesimal transformation of the Action Integral upon the derivatives of the dependent variable(s), the so-called generalized, or dynamical, symmetries. A similar allowance is to be found in the variables of the boundary function, often termed a gauge function by those who have not read the original paper. This generality was lost after texts such as those of Courant and Hilbert or Lovelock and Rund confined attention to only point transformations. In recent decades, this diminution of the power of Noether's Theorem has been partly countered, in particular, in the review of Sarlet and Cantrijn. In this Special Issue, we emphasize the generality of Noether's Theorem in its original form and explore the applicability of even more general coefficient functions by allowing for nonlocal terms. We also look at the application of these more general symmetries to problems in which parameters or parametric functions have a more general dependence upon the independent variables.
Symmetries In Fundamental Physics
DOWNLOAD
Author : Kurt Sundermeyer
language : en
Publisher: Springer
Release Date : 2014-07-23
Symmetries In Fundamental Physics written by Kurt Sundermeyer and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-07-23 with Science categories.
Over the course of the last century it has become clear that both elementary particle physics and relativity theories are based on the notion of symmetries. These symmetries become manifest in that the "laws of nature" are invariant under spacetime transformations and/or gauge transformations. The consequences of these symmetries were analyzed as early as in 1918 by Emmy Noether on the level of action functionals. Her work did not receive due recognition for nearly half a century, but can today be understood as a recurring theme in classical mechanics, electrodynamics and special relativity, Yang-Mills type quantum field theories, and in general relativity. As a matter of fact, as shown in this monograph, many aspects of physics can be derived solely from symmetry considerations. This substantiates the statement of E.P. Wigner "... if we knew all the laws of nature, or the ultimate Law of nature, the invariance properties of these laws would not furnish us new information." Thanks to Wigner we now also understand the implications of quantum physics and symmetry considerations: Poincare invariance dictates both the characteristic properties of particles (mass, spin, ...) and the wave equations of spin 0, 1/2, 1, ... objects. Further, the work of C.N. Yang and R. Mills reveals the consequences of internal symmetries as exemplified in the symmetry group of elementary particle physics. Given this pivotal role of symmetries it is thus not surprising that current research in fundamental physics is to a great degree motivated and inspired by considerations of symmetry. The treatment of symmetries in this monograph ranges from classical physics to now well-established theories of fundamental interactions, to the latest research on unified theories and quantum gravity.
A First Course On Symmetry Special Relativity And Quantum Mechanics
DOWNLOAD
Author : Gabor Kunstatter
language : en
Publisher: Springer Nature
Release Date : 2020-10-19
A First Course On Symmetry Special Relativity And Quantum Mechanics written by Gabor Kunstatter and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-10-19 with Science categories.
This book provides an in-depth and accessible description of special relativity and quantum mechanics which together form the foundation of 21st century physics. A novel aspect is that symmetry is given its rightful prominence as an integral part of this foundation. The book offers not only a conceptual understanding of symmetry, but also the mathematical tools necessary for quantitative analysis. As such, it provides a valuable precursor to more focused, advanced books on special relativity or quantum mechanics. Students are introduced to several topics not typically covered until much later in their education.These include space-time diagrams, the action principle, a proof of Noether's theorem, Lorentz vectors and tensors, symmetry breaking and general relativity. The book also provides extensive descriptions on topics of current general interest such as gravitational waves, cosmology, Bell's theorem, entanglement and quantum computing. Throughout the text, every opportunity is taken to emphasize the intimate connection between physics, symmetry and mathematics.The style remains light despite the rigorous and intensive content. The book is intended as a stand-alone or supplementary physics text for a one or two semester course for students who have completed an introductory calculus course and a first-year physics course that includes Newtonian mechanics and some electrostatics. Basic knowledge of linear algebra is useful but not essential, as all requisite mathematical background is provided either in the body of the text or in the Appendices. Interspersed through the text are well over a hundred worked examples and unsolved exercises for the student.
Information Consciousness Reality
DOWNLOAD
Author : James B. Glattfelder
language : en
Publisher: Springer
Release Date : 2019-04-10
Information Consciousness Reality written by James B. Glattfelder and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-04-10 with Science categories.
This open access book chronicles the rise of a new scientific paradigm offering novel insights into the age-old enigmas of existence. Over 300 years ago, the human mind discovered the machine code of reality: mathematics. By utilizing abstract thought systems, humans began to decode the workings of the cosmos. From this understanding, the current scientific paradigm emerged, ultimately discovering the gift of technology. Today, however, our island of knowledge is surrounded by ever longer shores of ignorance. Science appears to have hit a dead end when confronted with the nature of reality and consciousness. In this fascinating and accessible volume, James Glattfelder explores a radical paradigm shift uncovering the ontology of reality. It is found to be information-theoretic and participatory, yielding a computational and programmable universe.
Relativistic Cosmology
DOWNLOAD
Author : George F. R. Ellis
language : en
Publisher: Cambridge University Press
Release Date : 2012-03-22
Relativistic Cosmology written by George F. R. Ellis and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-03-22 with Science categories.
Surveying key developments and open issues in cosmology for graduate students and researchers, this book focuses on the general concepts and relations that underpin the standard model of the Universe. It also examines anisotropic and inhomogeneous models, and deeper issues, such as quantum cosmology and the multiverse proposal.
Metric Theories Of Gravity
DOWNLOAD
Author : Alexander N. Petrov
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2017-04-24
Metric Theories Of Gravity written by Alexander N. Petrov and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-04-24 with Science categories.
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.
Recent Developments In General Relativity
DOWNLOAD
Author : B. Casciaro
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-06-28
Recent Developments In General Relativity written by B. Casciaro and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-06-28 with Science categories.
The 13th Italian Conference on General Relativity and Gravitational Physics was held in Cala Corvino-Monopoli (Bari) from September 21to September 25, 1998. The Conference, which is held every other year in different Italian locations, has brought together, as in the earlier conferences in this series, those scientists who are interested and actively work in all aspects of general relativity, from both the mathematical and the physical points of view: from classical theories of gravitation to quantum gravity, from relativistic astrophysics and cosmology to experiments in gravitation. About 70 participants came from Departments of Astronomy and Astrophysics, Departments of Mathematics and Departments of Experimental and Theoretical Physics from all over the Country; in addition a few Italian scientists working abroad kindly accepted invitations from the Scientific Committee. The good wishes of the University and of the Politecnico di Bari were conveyed by the director of Diparti mento Interuniversitario di Matematica, Prof. Franco Altomare. These proceedings contain the contributions of the two winners of the SIGRAV prizes, the invited talks presented at the Conference and most of the contributed talks. We thank all of our colleagues, who did their best to prepare their manuscripts. The pleasant atmosphere induced by the beauty of the place was greatlyenhanced not only by the participation of so many colleagues, who had lively discussions about science well beyond Conference hours, but also by the feeling of hospitalityextended to the participants by the staff of the Cala Corvino Hotel, where the Conference was held.
Time And Timelessness In Fundamental Physics And Cosmology
DOWNLOAD
Author : Silvia De Bianchi
language : en
Publisher: Springer Nature
Release Date : 2024-08-29
Time And Timelessness In Fundamental Physics And Cosmology written by Silvia De Bianchi and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-08-29 with Science categories.
This book offers a clear account of timelessness together with the discussion of temporality in fundamental physics and cosmology. The multi-disciplinary approach to the problem of time and timelessness shows the remarkable difference between pre-relativistic debates and current developments. This book thoroughly discusses notions of timelessness and time emerging in the most recent literature on Quantum Gravity, String Theory and Cosmology. The contributions explore, among many aspects, the historical-philosophical roots of the notions of temporality and atemporality, the role of mathematics in defining time and temporality with respect to both order relations and causality, approaches to quantum gravity and cosmology that make use of quantum fluids and condensate to approximate space–time in general relativity, time and timelessness in black holes and the problem of cosmological time in bouncing cosmologies. The novelty of this volume lies in the interaction among scientists, philosophers, and historians in exploring the nature of time and timelessness and the origin of these concepts. The book represents a valuable toolkit for researchers and graduate students in physics, cosmology, philosophy and the history of those fields.
Compact Objects In Astrophysics
DOWNLOAD
Author : Max Camenzind
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-02-24
Compact Objects In Astrophysics written by Max Camenzind and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-02-24 with Science categories.
Modern comprehensive introduction and overview of the physics of White Dwarfs, Neutron Stars and Black Holes, including all relevant observations. Contains a basic introduction to General Relativity, including the modern 3+1 split of spacetime and of Einstein’s equations. The split is used for the first time to derive the structure equations for rapidly rotating neutron stars and Black Holes. Detailed discussions and derivations of current theoretical results. In particular also the most recent equations of state for neutron star matter are explained. Topics , such as colour superconductivity are discussed and used for modelling. A book for graduate students and researchers. Contains exercises and some solutions.