Category: Relativity

By Hans Ringstrom

ISBN-10: 3037190531

ISBN-13: 9783037190531

Advent define half I. historical past from the idea of partial differential equations: practical research The Fourier remodel Sobolev areas Sobolev embedding Symmetric hyperbolic structures Linear wave equations neighborhood life, non-linear wave equations half II. history in geometry, international hyperbolicity and specialty: easy Lorentz geometry Characterizations of world hyperbolicity strong point of recommendations to linear wave equations half III. normal relativity: The constraint equations neighborhood life Cauchy balance lifestyles of a maximal globally hyperbolic improvement half IV. Pathologies, robust cosmic censorship: Preliminaries consistent suggest curvature preliminary information Einstein's vacuum equations Closed universe recollapse Asymptotic behaviour LRS Bianchi type A suggestions lifestyles of extensions life of inequivalent extensions Appendices Bibliography Index

By Sard R.D.

ISBN-10: 080538491X

ISBN-13: 9780805384918

By Lewis Ryder

ISBN-10: 0511580045

ISBN-13: 9780511580048

ISBN-10: 0521845637

ISBN-13: 9780521845632

A student-friendly type, over a hundred illustrations, and diverse routines are introduced jointly during this textbook for complicated undergraduate and starting graduate scholars in physics and arithmetic. Lewis Ryder develops the speculation of basic relativity intimately. overlaying the center themes of black holes, gravitational radiation, and cosmology, he presents an outline of basic relativity and its glossy ramifications. The e-book includes chapters on gravitational radiation, cosmology, and connections among basic relativity and the elemental physics of the microworld. It explains the geometry of curved areas and includes key recommendations of Einstein's equations - the Schwarzschild and Kerr options. Mathematical calculations are labored out intimately, so scholars can increase an intuitive realizing of the topic, in addition to how you can practice calculations. The booklet additionally contains themes fascinated with the relation among basic relativity and different parts of basic physics. Password secure suggestions for teachers can be found at www.cambridge.org/9780521845632.

By Max Jammer

ISBN-10: 0801884225

ISBN-13: 9780801884221

Max Jammer's Concepts of Simultaneity provides a accomplished, obtainable account of the old improvement of a big and arguable concept—which performed a severe function in starting up glossy theoretical physics—from the times of Egyptian hieroglyphs via to Einstein's paintings in 1905, and past. starting with using the idea that of simultaneity in historical Egypt and within the Bible, the learn discusses its position in Greek and medieval philosophy in addition to its value in Newtonian physics and within the rules of Leibniz, Kant, and different classical philosophers. The relevant topic of Jammer's presentation is a severe research of using this idea via philosophers of technological know-how, like Poincaré, and its major function in inaugurating glossy theoretical physics in Einstein's distinctive conception of relativity. specific cognizance is paid to the philosophical challenge of no matter if the thought of far away simultaneity provides a real truth or just a hypothetical conference. The research concludes with an research of simultaneity's significance more often than not relativity and quantum mechanics.
(2007)

By Albert Einstein

ISBN-10: 0691023522

ISBN-13: 9780691023526

ISBN-10: 1400851874

ISBN-13: 9781400851874

In 1921, 5 years after the looks of his accomplished paper on basic relativity and twelve years ahead of he left Europe completely to hitch the Institute for complicated learn, Albert Einstein visited Princeton collage, the place he brought the Stafford Little Lectures for that 12 months. those 4 lectures constituted an outline of his then-controversial thought of relativity. Princeton college Press made the lectures to be had lower than the identify The which means of Relativity, the 1st booklet through Einstein to be produced through an American writer. As next variants have been introduced out. Read more...

By Miguel Alcubierre

ISBN-10: 0191548294

ISBN-13: 9780191548291

ISBN-10: 0199205671

ISBN-13: 9780199205677

This booklet introduces the trendy box of 3+1 numerical relativity. The e-book has been written in a fashion as to be as self-contained as attainable, and merely assumes a uncomplicated wisdom of certain relativity. ranging from a quick advent to basic relativity, it discusses different strategies and instruments valuable for the absolutely constant numerical simulation of relativistic astrophysical structures, with powerful and dynamical gravitational fields. one of the issues mentioned intimately are the subsequent; the preliminary info challenge, hyperbolic rate reductions of the sphere equations, guage stipulations, the evolution of black gap space-times, relativistic hydrodynamics, gravitational wave extraction and numerical equipment. there's additionally a last bankruptcy with examples of a few easy numerical space-times. The ebook is aimed toward either graduate scholars and researchers in physics and astrophysics, and at these attracted to relativistic astrophysics.

By Norbert Straumann

ISBN-10: 9400754108

ISBN-13: 9789400754102

By Robert H. Wasserman

ISBN-10: 0195065611

ISBN-13: 9780195065619

This publication introduces the recommendations of tensor algebras and differentiable manifolds to the intermediate-level pupil. It describes analytical and geometrical constructions outfitted on those uncomplicated options. these constructions -- which come with differential varieties and their integration, flows, Lie derivatives, distributions and their integrability stipulations, connections, and pseudo-Riemannian and symplectic manifolds -- are then utilized to the outline of the basic principles and Hamiltonian and Lagrangian mechanics, and designated and basic relativity. This e-book is designed to be obtainable to the maths or physics scholar with an outstanding general undergraduate heritage, who's attracted to acquiring a broader point of view of the wealthy interaction of arithmetic and physics earlier than deciding upon a strong point.

By Jurgen Ehlers

By Bernard Schutz

ISBN-10: 0511539118

ISBN-13: 9780511539114

ISBN-10: 0511539959

ISBN-13: 9780511539954

ISBN-10: 0511650655

ISBN-13: 9780511650659

ISBN-10: 0511984189

ISBN-13: 9780511984181

ISBN-10: 0521887054

ISBN-13: 9780521887052

Readability, clarity and rigor mix within the moment variation of this widely-used textbook to supply step one into basic relativity for undergraduate scholars with a minimum heritage in arithmetic. themes inside relativity that fascinate astrophysical researchers and scholars alike are covered.