Classical Measurements in Curved Space-Times

Classical Measurements in Curved Space-Times
Author: Fernando de Felice
Publisher: Cambridge University Press
Total Pages: 326
Release: 2010-07-29
Genre: Science
ISBN: 1139491598

The theory of relativity describes the laws of physics in a given space-time. However, a physical theory must provide observational predictions expressed in terms of measurements, which are the outcome of practical experiments and observations. Ideal for readers with a mathematical background and a basic knowledge of relativity, this book will help readers understand the physics behind the mathematical formalism of the theory of relativity. It explores the informative power of the theory of relativity, and highlights its uses in space physics, astrophysics and cosmology. Readers are given the tools to pick out from the mathematical formalism those quantities that have physical meaning and which can therefore be the result of a measurement. The book considers the complications that arise through the interpretation of a measurement, which is dependent on the observer who performs it. Specific examples of this are given to highlight the awkwardness of the problem.

Flat and Curved Space-times

Flat and Curved Space-times
Author: George Francis Rayner Ellis
Publisher: Clarendon Press
Total Pages: 394
Release: 2000
Genre: Mathematics
ISBN: 9780198506560

This text explains special relativity and the basics of general relativity from a geometric viewpoint. Space-time geometry is emphasised throughout, and up-to-date information is provided on black holes, gravitational collapse, and cosmology.

Relativity on Curved Manifolds

Relativity on Curved Manifolds
Author: F. de Felice
Publisher: Cambridge University Press
Total Pages: 466
Release: 1992-03-27
Genre: Mathematics
ISBN: 9780521429085

This is a self-contained exposition of general relativity with emphasis given to tetrad and spinor structures and physical measurement on curved manifolds.

Foundations of Quantum Gravity

Foundations of Quantum Gravity
Author: James Lindesay
Publisher: Cambridge University Press
Total Pages: 419
Release: 2013-05-16
Genre: Science
ISBN: 1107328306

Exploring how the subtleties of quantum coherence can be consistently incorporated into Einstein's theory of gravitation, this book is ideal for researchers interested in the foundations of relativity and quantum physics. The book examines those properties of coherent gravitating systems that are most closely connected to experimental observations. Examples of consistent co-gravitating quantum systems whose overall effects upon the geometry are independent of the coherence state of each constituent are provided, and the properties of the trapping regions of non-singular black objects, black holes and a dynamic de Sitter cosmology are discussed analytically, numerically and diagrammatically. The extensive use of diagrams to summarise the results of the mathematics enables readers to bypass the need for a detailed understanding of the steps involved. Assuming some knowledge of quantum physics and relativity, the book provides text boxes featuring supplementary information for readers particularly interested in the philosophy and foundations of the physics.

Quantum Mechanics in Curved Space-Time

Quantum Mechanics in Curved Space-Time
Author: Jurgen Audretsch
Publisher: Springer Science & Business Media
Total Pages: 555
Release: 2012-12-06
Genre: Science
ISBN: 1461538149

Quantum mechanics and quantum field theory on one hand and Gravity as a theory of curved space-time on the other are the two great conc- tual schemes of modern theoretical physics. For many decades they have lived peacefully together for a simple reason: it was a coexistence wi- out much interaction. There has been the family of relativists and the other family of elementary particle physicists and both sides have been convinced that their problems have not very much to do with the problems of the respective other side. This was a situation which could not last forever, because the two theoretical schemes have a particular structural trait in common: their claim for totality and universality. Namely on one hand all physical theories have to be formulated in a quantum mechanical manner, and on the other hand gravity as curved space-time influences all processes and vice versa. It was therefore only a question of time that physically relevant domains of application would attract a general int- est, which demand a combined application of both theoretical schemes. But it is immediately obvious that such an application of both schemes is - possible if the schemes are taken as they are. Something new is needed which reconciles gravity and quantum mechanics. During the last two de- des we are now doing the first steps towards this more general theory and we are confronted with fundamental difficulties.

The Biggest Ideas in the Universe

The Biggest Ideas in the Universe
Author: Sean Carroll
Publisher: Penguin
Total Pages: 305
Release: 2022-09-20
Genre: Science
ISBN: 0593186583

INSTANT NEW YORK TIMES BESTSELLER “Most appealing... technical accuracy and lightness of tone... Impeccable.”—Wall Street Journal “A porthole into another world.”—Scientific American “Brings science dissemination to a new level.”—Science The most trusted explainer of the most mind-boggling concepts pulls back the veil of mystery that has too long cloaked the most valuable building blocks of modern science. Sean Carroll, with his genius for making complex notions entertaining, presents in his uniquely lucid voice the fundamental ideas informing the modern physics of reality. Physics offers deep insights into the workings of the universe but those insights come in the form of equations that often look like gobbledygook. Sean Carroll shows that they are really like meaningful poems that can help us fly over sierras to discover a miraculous multidimensional landscape alive with radiant giants, warped space-time, and bewilderingly powerful forces. High school calculus is itself a centuries-old marvel as worthy of our gaze as the Mona Lisa. And it may come as a surprise the extent to which all our most cutting-edge ideas about black holes are built on the math calculus enables. No one else could so smoothly guide readers toward grasping the very equation Einstein used to describe his theory of general relativity. In the tradition of the legendary Richard Feynman lectures presented sixty years ago, this book is an inspiring, dazzling introduction to a way of seeing that will resonate across cultural and generational boundaries for many years to come.

Inflation and String Theory

Inflation and String Theory
Author: Daniel Baumann
Publisher: Cambridge University Press
Total Pages: 395
Release: 2015-04-23
Genre: Science
ISBN: 1107089697

This accessible volume provides a modern treatment of the cosmological and string-theoretic background necessary to understand inflation in string theory.

Boundary Conformal Field Theory and the Worldsheet Approach to D-Branes

Boundary Conformal Field Theory and the Worldsheet Approach to D-Branes
Author: Andreas Recknagel
Publisher: Cambridge University Press
Total Pages: 349
Release: 2013-11-28
Genre: Science
ISBN: 1107511801

Boundary conformal field theory is concerned with a class of two-dimensional quantum field theories which display a rich mathematical structure and have many applications ranging from string theory to condensed matter physics. In particular, the framework allows discussion of strings and branes directly at the quantum level. Written by internationally renowned experts, this comprehensive introduction to boundary conformal field theory reaches from theoretical foundations to recent developments, with an emphasis on the algebraic treatment of string backgrounds. Topics covered include basic concepts in conformal field theory with and without boundaries, the mathematical description of strings and D-branes, and the geometry of strongly curved spacetime. The book offers insights into string geometry that go beyond classical notions. Describing the theory from basic concepts, and providing numerous worked examples from conformal field theory and string theory, this reference is of interest to graduate students and researchers in physics and mathematics.

Conformal Methods in General Relativity

Conformal Methods in General Relativity
Author: Juan A. Valiente Kroon
Publisher: Cambridge University Press
Total Pages: 627
Release: 2023-01-31
Genre: Science
ISBN: 1009291343

This 2016 volume, now reissued as OA, shows how conformal methods can be used to study Einstein's theory of gravity.

Rotating Relativistic Stars

Rotating Relativistic Stars
Author: John L. Friedman
Publisher: Cambridge University Press
Total Pages: 435
Release: 2013-02-11
Genre: Science
ISBN: 0521872545

This volume pulls together more than forty years of research to provide graduate students and researchers in astrophysics, gravitational physics, and astronomy with the first self-contained treatment of the structure, stability, and oscillations of rotating neutron stars.