The Large Scale Structure of Space-Time

Cambridge University Press, 1973 - 391 pagina's

Einstein's General Theory of Relativity leads to two remarkable predictions: first, that the ultimate destiny of many massive stars is to undergo gravitational collapse and to disappear from view, leaving behind a 'black hole' in space; and secondly, that there will exist singularities in space-time itself. These singularities are places where space-time begins or ends, and the presently known laws of physics break down. They will occur inside black holes, and in the past are what might be construed as the beginning of the universe. To show how these predictions arise, the authors discuss the General Theory of Relativity in the large. Starting with a precise formulation of the theory and an account of the necessary background of differential geometry, the significance of space-time curvature is discussed and the global properties of a number of exact solutions of Einstein's field equations are examined. The theory of the causal structure of a general space-time is developed, and is used to study black holes and to prove a number of theorems establishing the inevitability of singualarities under certain conditions. These conditions are shown to be satisfied in the vicinity of stars of more than twice the solar mass near the endpoint of their nuclear evolution, and in a time-reversed sense for the universe as a whole. In the first case, the singularity in our past. A discussion of the Cauchy problem for General Relativity is also included in the book.

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The early seventies saw a revolution in cosmology; for the first time, modern mathematical methods were applied to the discipline, with intriguing results. This book was (along with Penrose's articles ... Volledige recensie lezen

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Veelvoorkomende woorden en zinsdelen

achronal affine parameter basis black hole boundary bundle Cauchy development Cauchy surface closed timelike curves closed trapped surface collapse compact set components conjugate constant contained converge coordinate neighbourhood covariant derivatives curvature defined density diffeomorphism differential Einstein equations energy energy-momentum tensor ergosphere event horizon existence field equations figure finite function future future-directed geodesic curve geodesically complete implies incomplete inextendible infinity initial data integral curves intersect isometry J+(p Kerr solution Killing vector lemma Lie derivative light cone linear Lorentz metric manifold metric g Minkowski space non-spacelike curve non-zero normal null cone null geodesic obtain open set partial Cauchy surface particle past-directed Penrose proposition radiation region regular predictable represents respect Riemann tensor satisfied Schwarzschild solution singularity space-time spacelike surface star static stationary strong causality tangent vector tensor field theorem timelike geodesics topology two-sphere two-surface unique universe values vanishes variation vector field world-line zero

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Review: sw Hawking and gfr Ellis, The large scale structure of ...
sw Hawking, gfr Ellis, The large scale structure of space-time. Cambridge Monographs on Mathematical Physics, Cambridge University Press, New York, 1975, ...
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The Large Scale Structure of Space-Time (Hawking S., Ellis gf, 1973)
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numerous problems pertaining to the large-scale structure of space-time [2]. Unfortunately, numerous attempts to construct a ...
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Phys. Rev. D 40, 1336 (1989): Hiscock - Gravitational entropy of ...
Hawking and Ellis, The Large Scale Structure of Space-Time (Ref. 3), p. 312. Hawking and Ellis, The Large Scale Structure of Space-Time (Ref. 3), pp. ...
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Reviews 311 js, cn and jj (eds.) [1977]: Foundation of Space-Time ...
Ellis' [1973] The Large-Scale Structure of Space-Time.) But more generally, one. finds in this work a host of little theorems and lemmas about the generic ...
bjps.oxfordjournals.org/ cgi/ reprint/ 31/ 3/ 311.pdf

JSTOR: Foundations of Space-Time Theories
HAWKING, sw and ELLIS, gfr [I973]: The Large-Scale Structure of Space-Time. Cambridge: Cambridge University Press. MALAMENT, D. [I977]: 'Causal Theories of ...
links.jstor.org/ sici?sici=0007-0882(198009)31%3A3%3C311%3AFOST%3E2.0.CO%3B2-M

Klainerman, Sarnak: Explicit solutions of $\square u = 0$ on the ...
[4] S. HAWKING and G. ELLIS, The Large Scale Structure of Space Time, Cambridge Monographs. [5] P. LAX and R. PHILLIPS, Scattering Theory for Automorphic ...
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Over de auteur (1973)

STEPHEN HAWKING is an English theoretical physicist. Hawking is the Lucasian Professor of Mathematics at the University of Cambridge. He is known for his contributions to the fields of cosmology and quantum gravity, especially in the context of black holes, and his popular works, including" New York Times "bestseller bestseller "A Brief History of Time, " in which he discusses his own theories and cosmology in general.

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Titel	The Large Scale Structure of Space-Time Volume 1 van Cambridge Monographs on Mathematical Physics, ISSN 0269-8242
Auteur	S. W. Hawking
Bijdrager	G. F. R. Ellis
Editie	geďllustreerd, herdruk
Uitgever	Cambridge University Press, 1973
ISBN	0521099064, 9780521099066
Lengte	391 pagina's

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