Noether Symmetries In Theories Of Gravity

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Noether Symmetries In Theories Of Gravity

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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

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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.

Time And Timelessness In Fundamental Physics And Cosmology

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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.

Beyond Einstein Gravity

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Author : Salvatore Capozziello
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-10-27

Beyond Einstein Gravity written by Salvatore Capozziello 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 2010-10-27 with Science categories.

Beyond Einstein’s Gravity is a graduate level introduction to extended theories of gravity and cosmology, including variational principles, the weak-field limit, gravitational waves, mathematical tools, exact solutions, as well as cosmological and astrophysical applications. The book provides a critical overview of the research in this area and unifies the existing literature using a consistent notation. Although the results apply in principle to all alternative gravities, a special emphasis is on scalar-tensor and f(R) theories. They were studied by theoretical physicists from early on, and in the 1980s they appeared in attempts to renormalize General Relativity and in models of the early universe. Recently, these theories have seen a new lease of life, in both their metric and metric-affine versions, as models of the present acceleration of the universe without introducing the mysterious and exotic dark energy. The dark matter problem can also be addressed in extended gravity. These applications are contributing to a deeper understanding of the gravitational interaction from both the theoretical and the experimental point of view. An extensive bibliography guides the reader into more detailed literature on particular topics.

Einstein S Tutor

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Author : Lee Phillips
language : en
Publisher: Hachette UK
Release Date : 2024-09-10

Einstein S Tutor written by Lee Phillips and has been published by Hachette UK this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-09-10 with Biography & Autobiography categories.

A revelatory story of the woman who made foundational contributions to science and mathematics and persevered in the face of discrimination. Emmy Noether's mathematical genius enabled Einstein to bring his General Theory of Relativity–the basis of our current theory of gravity–to fruition. On a larger scale, what came to be known as “Noether’s Theorem”—called by a Nobel laureate “the single most profound result in all of physics”—supplied the basis for the most accurate theory in the history of physics, the Standard Model, which forms our modern theory of matter. Noether’s life story is equally important and revelatory in understanding the pernicious nature of sexual prejudice in the sciences, revealing the shocking discrimination against one of the true intellectual giants of the twentieth century, a woman effectively excluded from the opportunities given to her male counterparts. Noether’s personality and optimistic spirit, as Lee Phillips reveals, enabled her unique genius to persevere and arrive at insights that still astonish those who encounter them a century later.

Mathematical Physics Proceedings Of The 14th Regional Conference

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Author : Muhammad Jamil Aslam
language : en
Publisher: World Scientific
Release Date : 2018-04-11

Mathematical Physics Proceedings Of The 14th Regional Conference written by Muhammad Jamil Aslam and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-04-11 with Science categories.

This volume consists of the scientific work presented at the 14th Regional Conference on Mathematical Physics, held in November 2015 in Islamabad, Pakistan, and dedicated to the memory of Riazuddin, the first Pakistani PhD student of the late Nobel laureate, Abdus Salam, and one of the pioneers who developed physics in Pakistan.This collection surveys the latest developments in a wide area of mathematical physics as presented by world-renowned experts. The contributors sample a number of topics including the formal aspects of mathematical physics, general relativity and cosmology, particle physics, astrophysics, string theory, black hole physics, quantum gravity, quantum field theory, condensed matter physics, symmetries in mathematics and physics, and even applied physics.

Modified Gravity And Cosmology

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Author : Emmanuel N. Saridakis
language : en
Publisher: Springer Nature
Release Date : 2021-12-10

Modified Gravity And Cosmology written by Emmanuel N. Saridakis and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-12-10 with Science categories.

With a focus on modified gravity this book presents a review of the recent developments in the fields of gravity and cosmology, presenting the state of the art, high-lighting the open problems, and outlining the directions of future research. General Relativity and the ΛCDM framework are currently the standard lore and constitute the concordance paradigm of cosmology. Nevertheless, long-standing open theoretical issues, as well as possible new observational ones arising from the explosive development of cosmology in the last two decades, offer the motivation and lead a large amount of research to be devoted in constructing various extensions and modifications. In this review all extended theories and scenarios are first examined under the light of theoretical consistency, and are then applied in various geometrical backgrounds, such as the cosmological and the spherical symmetric ones. Their predictions at both the background and perturbation levels, and concerning cosmology at early, intermediate and late times, are then confronted with the huge amount of observational data that astrophysics and cosmology has been able to offer in the last two decades. Theories, scenarios and models that successfully and efficiently pass the above steps are classified as viable and are candidates for the description of Nature, allowing readers to get a clear overview of the state of the art and where the field of modified gravity is likely to go. This work was performed in the framework of the COST European Action “Cosmology and Astrophysics Network for Theoretical Advances and Training Actions” - CANTATA.

The Conceptual Framework Of Quantum Field Theory

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Author : Anthony Duncan
language : en
Publisher: Oxford University Press, USA
Release Date : 2012-08-09

The Conceptual Framework Of Quantum Field Theory written by Anthony Duncan and has been published by Oxford University Press, USA this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-08-09 with Science categories.

The book provides a step by step construction of the framework of relativistic quantum field theory, starting from a minimal set of basic foundational postulates. The emphasis is on a careful and detailed description of the conceptual subtleties of modern field theory, many of which are glossed over in other texts.

Fifteenth Marcel Grossmann Meeting The On Recent Developments In Theoretical And Experimental General Relativity Astrophysics And Relativistic Field Theories Proceedings Of The Mg15 Meeting On General Relativity In 3 Volumes

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Author : Elia S Battistelli
language : en
Publisher: World Scientific
Release Date : 2022-05-10

Fifteenth Marcel Grossmann Meeting The On Recent Developments In Theoretical And Experimental General Relativity Astrophysics And Relativistic Field Theories Proceedings Of The Mg15 Meeting On General Relativity In 3 Volumes written by Elia S Battistelli and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-05-10 with Science categories.

The three volumes of the proceedings of MG15 give a broad view of all aspects of gravitational physics and astrophysics, from mathematical issues to recent observations and experiments. The scientific program of the meeting included 40 morning plenary talks over 6 days, 5 evening popular talks and nearly 100 parallel sessions on 71 topics spread over 4 afternoons. These proceedings are a representative sample of the very many oral and poster presentations made at the meeting.Part A contains plenary and review articles and the contributions from some parallel sessions, while Parts B and C consist of those from the remaining parallel sessions. The contents range from the mathematical foundations of classical and quantum gravitational theories including recent developments in string theory, to precision tests of general relativity including progress towards the detection of gravitational waves, and from supernova cosmology to relativistic astrophysics, including topics such as gamma ray bursts, black hole physics both in our galaxy and in active galactic nuclei in other galaxies, and neutron star, pulsar and white dwarf astrophysics. Parallel sessions touch on dark matter, neutrinos, X-ray sources, astrophysical black holes, neutron stars, white dwarfs, binary systems, radiative transfer, accretion disks, quasars, gamma ray bursts, supernovas, alternative gravitational theories, perturbations of collapsed objects, analog models, black hole thermodynamics, numerical relativity, gravitational lensing, large scale structure, observational cosmology, early universe models and cosmic microwave background anisotropies, inhomogeneous cosmology, inflation, global structure, singularities, chaos, Einstein-Maxwell systems, wormholes, exact solutions of Einstein's equations, gravitational waves, gravitational wave detectors and data analysis, precision gravitational measurements, quantum gravity and loop quantum gravity, quantum cosmology, strings and branes, self-gravitating systems, gamma ray astronomy, cosmic rays and the history of general relativity.

Thirteenth Marcel Grossmann Meeting The On Recent Developments In Theoretical And Experimental General Relativity Astrophysics And Relativistic Field Theories Proceedings Of The Mg13 Meeting On General Relativity In 3 Volumes

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Author : Remo Ruffini
language : en
Publisher: World Scientific
Release Date : 2015-01-26

Thirteenth Marcel Grossmann Meeting The On Recent Developments In Theoretical And Experimental General Relativity Astrophysics And Relativistic Field Theories Proceedings Of The Mg13 Meeting On General Relativity In 3 Volumes written by Remo Ruffini and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-01-26 with Science categories.

The Marcel Grossmann Meetings seek to further the development of the foundations and applications of Einstein's general relativity by promoting theoretical understanding in the relevant fields of physics, mathematics, astronomy and astrophysics and to direct future technological, observational, and experimental efforts. The meetings discuss recent developments in classical and quantum aspects of gravity, and in cosmology and relativistic astrophysics, with major emphasis on mathematical foundations and physical predictions, having the main objective of gathering scientists from diverse backgrounds for deepening our understanding of spacetime structure and reviewing the current state of the art in the theory, observations and experiments pertinent to relativistic gravitation. The range of topics is broad, going from the more abstract classical theory, quantum gravity, branes and strings, to more concrete relativistic astrophysics observations and modeling.The three volumes of the proceedings of MG13 give a broad view of all aspects of gravitational physics and astrophysics, from mathematical issues to recent observations and experiments. The scientific program of the meeting included 33 morning plenary talks during 6 days, and 75 parallel sessions over 4 afternoons. Volume A contains plenary and review talks ranging from the mathematical foundations of classical and quantum gravitational theories including recent developments in string/brane theories, to precision tests of general relativity including progress towards the detection of gravitational waves, and from supernova cosmology to relativistic astrophysics including such topics as gamma ray bursts, black hole physics both in our galaxy and in active galactic nuclei in other galaxies, and neutron star and pulsar astrophysics. Volumes B and C include parallel sessions which touch on dark matter, neutrinos, X-ray sources, astrophysical black holes, neutron stars, binary systems, radiative transfer, accretion disks, quasors, gamma ray bursts, supernovas, alternative gravitational theories, perturbations of collapsed objects, analog models, black hole thermodynamics, numerical relativity, gravitational lensing, large scale structure, observational cosmology, early universe models and cosmic microwave background anisotropies, inhomogeneous cosmology, inflation, global structure, singularities, chaos, Einstein-Maxwell systems, wormholes, exact solutions of Einstein's equations, gravitational waves, gravitational wave detectors and data analysis, precision gravitational measurements, quantum gravity and loop quantum gravity, quantum cosmology, strings and branes, self-gravitating systems, gamma ray astronomy, and cosmic rays and the history of general relativity.