1.

Record Nr.

UNINA9910465797503321

Autore

Choquet-Bruhat Yvonne

Titolo

General relativity and the Einstein equations [[electronic resource] /] / Yvonne Choquet-Bruhat

Pubbl/distr/stampa

Oxford ; ; New York, : Oxford University Press, 2009

ISBN

1-281-99870-2

9786611998707

0-19-155226-7

Descrizione fisica

1 online resource (812 p.)

Collana

Oxford mathematical monographs

Disciplina

530.11

Soggetti

General relativity (Physics) - Mathematics

Einstein field equations

Electronic books.

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Description based upon print version of record.

Nota di bibliografia

Includes bibliographical references (p. [771]-779) and index.

Nota di contenuto

CONTENTS; I: Lorentz geometry; 1 Introduction; 2 Manifolds; 3 Differentiable mappings; 4 Vectors and tensors; 4.1 Tangent and cotangent space; 4.2 Vector fields; 4.3 Tensors and tensor fields; 5 Pseudo-Riemannian metrics; 5.1 General properties; 5.2 Riemannian and Lorentzian metrics; 6 Riemannian connection; 7 Geodesics; 8 Curvature; 9 Geodesic deviation; 10 Maximum of length and conjugate points; 11 Linearized Ricci and Einstein tensors; 12 Second derivative of the Ricci tensor; II: Special Relativity; 1 Newton's mechanics; 1.1 The Galileo-Newton spacetime

1.2 Newton's dynamics - the Galileo group2 Maxwell's equations; 3 Minkowski spacetime; 3.1 Definition; 3.2 Maxwell's equations on M[sub(4)]; 4 Poincaré group; 5 Lorentz group; 5.1 General formulae; 5.2 Transformation of electric and magnetic vector fields (case n = 3); 5.3 Lorentz contraction and dilatation; 6 Special Relativity; 6.1 Proper time; 6.2 Proper frame and relative velocities; 7 Dynamics of a pointlike mass; 7.1 Newtonian law; 7.2 Relativistic law; 7.3 Equivalence of mass and energy; 8 Continuous matter; 8.1 Case of dust (incoherent matter); 8.2 Perfect fluids

III: General relativity and Einstein's equations1 Introduction; 2 Newton's



gravity law; 3 General relativity; 3.1 Physical motivations; 4 Observations and experiments; 4.1 Deviation of light rays; 4.2 Proper time, gravitational time delay; 5 Einstein's equations; 5.1 Vacuum case; 5.2 Equations with sources; 6 Field sources; 6.1 Electromagnetic sources; 6.2 Electromagnetic potential; 6.3 Yang-Mills fields; 6.4 Scalar fields; 6.5 Wave maps; 6.6 Energy conditions; 7 Lagrangians; 7.1 Einstein-Hilbert Lagrangian; 7.2 Lagrangians and stress energy tensors of sources; 7.3 Coupled Lagrangian

8 Fluid sources9 Einsteinian spacetimes; 9.1 Definition; 9.2 Regularity hypotheses; 10 Newtonian approximation; 10.1 Equations for potentials; 10.2 Equations of motion; 11 Gravitational waves; 11.1 Minkowskian approximation; 11.2 General linear waves; 12 High-frequency gravitational waves; 12.1 Phase and polarizations; 12.2 Radiative coordinates; 12.3 Energy conservation; 13 Coupled electromagnetic and gravitational waves; 13.1 Phase and polarizations; 13.2 Propagation equations; IV: Schwarzschild spacetime and black holes; 1 Introduction; 2 Spherically symmetric spacetimes

3 Schwarzschild metric4 Other coordinates; 4.1 Isotropic coordinates; 4.2 Wave coordinates; 4.3 Painlevé-Gullstrand-like coordinates; 4.4 Regge-Wheeler coordinates; 5 Schwarzschild spacetime; 6 The motion of the planets and perihelion precession; 6.1 Equations; 6.2 Results of observations; 6.3 Escape velocity; 7 Stability of circular orbits; 8 Deflection of light rays; 8.1 Theoretical prediction; 8.2 Results of observation; 8.3 Fermat's principle and light travel parameter time; 9 Red shift and time delay; 10 Spherically symmetric interior solutions; 10.1 Static solutions. Upper limit on mass

10.2 Matching with an exterior solution

Sommario/riassunto

Aimed at researchers in mathematics and physics, this monograph, in which the author overviews the basic ideas in General Relativity, introduces the necessary mathematics and discusses some of the key open questions in the field. - ;General Relativity has passed all experimental and observational tests to model the motion of isolated bodies with strong gravitational fields, though the mathematical and numerical study of these motions is still in its infancy. It is believed that General Relativity models our cosmos, with a manifold of dimensions possibly greater than four and debatable topology



2.

Record Nr.

UNISA996389897903316

Autore

Alonso, de Madrid

Titolo

A breefe methode or way teachinge all sortes of Christian people, how to serue God in a most perfect manner [[electronic resource] /] / Written first in Spanish, by a religious man, named Alphonso and reduced out of Latin into English in manner of a dialogue for the easier vnderstanding and capacities of the simpler sorte, by I.M

Pubbl/distr/stampa

At S. Omers, : [Printed by Charles Boscard] for Iohn Heigham, [anno 1625]

Descrizione fisica

284, [4] p

Soggetti

Christian life - Catholic authors

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

I.M. is probably John Mitchell or Michel, a Carthusian monk at Bruges--Cf. NUC pre-1956 imprints.

Date of publication suggested by ESTC.

With three final contents pages and one page of errata on [4] p. at end.

Pages 178-179, 182-183, 186-187, 190-191 and 283 are misnumbered 158-159, 162-163, 166-167, 170-171 and 183 respectively.

Signatures: A-S⁸.

Imperfect: stained on t.p.  with loss of print.

Reproduction of original in: British Library.

Sommario/riassunto

eebo-0018