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The Large Scale Structure of Space-Time

von Stephen W. Hawking, George Francis Rayner Ellis

Weitere Autoren: P. V. Landshoff (Mitwirkender), D. R. Nelson (Mitwirkender), D. W. Sciama (Mitwirkender), S. Weinberg (Mitwirkender)

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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. A discussion of the Cauchy problem for General Relativity is also included in this 1973 book.… (mehr)
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Maths in here is definitely in the deep end.
  jvgravy | Nov 23, 2023 |
What do we know about General Relativity now that we did not back then, say, in 1975 when this book first came out? Not much General Relativity wise:

1. Take a space and curve it;

2. Transport a vector round a loop in said space which gives a measure of the space;

3. Realize you can find a frame which looks locally Euclidean;

4. Do a little bit more maths like the one in Hawking’s and Ellis’ book;

5. Work out the Laplacian for the space;

6. Find out that a mass gives the space curvature;

7. Write down Einstein's equation.

Hey presto! The above is confirmed by experiment.

Lucky to have re-read another good oldie physics book. After all these years, it’s refreshing to see this book is still able to defend the honour of dame "spacetime" and her beauty.

Let’s take the first one:

1. Take a space and curve it.

Please bring to me a piece of “Space”, so that I can curve it and make a hat for my rabbit. Until that we are stuck and cannot follow the other steps. Meanwhile please read (at least) the following links carefully and come back to me so that then we can proceed further.

1. http://www.scientificamerican.com/article/supersymmetry-fails-test-forcing-physi...

2. http://www.fis.cinvestav.mx/~lmontano/sciam/scientificamerican0514-34.pdf

3.http://www.npr.org/sections/13.7/2016/06/28/483805061/has-physics-gotten-something-really-important-really-wrong

4. https://www.wired.com/2011/10/solvay-congress/

Have you read them?

(putting my devil's advocate hat now): Dialectical thought and the latest results from the LHC has now undone the ontological and the philosophical foundation of “spacetime” manifold and mathematical idealism based on GR. The virtual pillars of Einstein’s “Castle in the Air” made of “Continuous fields” (along with Gravitational Waves, Higgs boson etc. ad nauseum of official physics) have been demolished. “Matter in motion” as the primary aspect of the universe and objective reality – the brilliant intuition of Heraclitus is being confirmed as natural science slowly emerges from the alienating “spacetime” fog.

Of course, I wouldn't get my hopes up too high regarding link 3. ("The Singular Universe and The Reality of Time"). I read this again and found nothing to get too excited about.

Smolin's contribution was the most interesting (generally for the way he writes), but again, rather similar ground to what he had already covered in his previous (solo) work ("Time Reborn"). Roberto Mangabeira Unger's (majority) contribution was well written, but rather lacking in substance (and overly repetitive) I thought. Scanning at a selection of critiques, I don't seem to be far removed from the 'more qualified others' on this.

I fear that proving that Time is Real, might be just as difficult as proving it to be emergent, unreal, or quite simply illusory. This was true in 1975 and it’s still true today.

My point is that if SUSY falls on its sword, it will drag down with it all continuous (independent) field-based physics, Higgs field, spacetime field etc. and most of New Physics (as Einstein himself feared); only QED and technologies based on quantum dynamics of New Physics will survive and may in fact now even prosper in new directions. Physics will be back to square one that it was before the spacetime fog set in!

Book Review General Relativity Particle Physics Physics Quantum Physics Riemannian Space SUSY ( )
  antao | Sep 23, 2022 |
keine Rezensionen | Rezension hinzufügen

» Andere Autoren hinzufügen

AutorennameRolleArt des AutorsWerk?Status
Stephen W. HawkingHauptautoralle Ausgabenberechnet
Ellis, George Francis RaynerHauptautoralle Ausgabenbestätigt
Landshoff, P. V.MitwirkenderCo-Autoralle Ausgabenbestätigt
Nelson, D. R.MitwirkenderCo-Autoralle Ausgabenbestätigt
Sciama, D. W.MitwirkenderCo-Autoralle Ausgabenbestätigt
Weinberg, S.MitwirkenderCo-Autoralle Ausgabenbestätigt
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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. A discussion of the Cauchy problem for General Relativity is also included in this 1973 book.

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