# Bojowald's upcoming book

## Main Question or Discussion Point

I apologize if this has been posted before.

https://www.amazon.com/dp/0521195756/?tag=pfamazon01-20
Martin Bojowald

Hardcover: 304 pages
Publisher: Cambridge University Press (January 31, 2011)

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## Answers and Replies

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marcus
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marcus
Gold Member
Dearly Missed
WOW! It is a text book. The field has badly needed a text book focusing on Hamiltonian GR.

It has some 70 exercises for the student to work. And some 40 diagrams/figures/illustrations.

1. Introduction;
2. Isotropic cosmology: a prelude;
3. Hamiltonian formulation of general relativity;
4. Model systems and perturbations;
5. Global and asymptotic properties;
6. Quantum gravity;
Appendix;
References;
Index.
===================

There was a real need for this kind of thing. Because for years people have known the ADM version of General Relativity---doing it on a 3D hypersurface with lapse and shift and extrinsic curvature---so that it is equivalent to the 4D treatment. For decades we have had a Hamiltonian formulation of GR. And in fact most of the NUMERICAL work, so I am told, uses this by preference. And this version gave rise to the Ashtekar new variables, a gauge theoretical formulation, and LQG.

And yet the canonical GR, the Hamiltonian version, tends to be neglected in undergraduate courses.

The form of GR that you will use if you want to do numerical work on computer, or if you want to do LQG, is a form you might only meet later in grad school! So this was wrong and Bojowald seems to be offering to fix the problem.

Here now is a GR textbook that presents the canonical GR, with Hamiltonian. And then even proceeds on to a chapter about Quantum Gravity. Maybe we can learn something from the Cambridge Press description:

==quote from the publisher's description==

Canonical methods are a powerful mathematical tool within the field of gravitational research, both theoretical and experimental, and have contributed to a number of recent developments in physics. Providing mathematical foundations as well as physical applications, this is the first systematic explanation of canonical methods in gravity. The book discusses the mathematical and geometrical notions underlying canonical tools, highlighting their applications in all aspects of gravitational research from advanced mathematical foundations to modern applications in cosmology and black hole physics. The main canonical formulations, including the Arnowitt-Deser-Misner (ADM) formalism and Ashtekar variables, are derived and discussed. Ideal for both graduate students and researchers, this book provides a link between standard introductions to general relativity and advanced expositions of black hole physics, theoretical cosmology or quantum gravity.

• Gives a thorough account of gravity theory, from advanced mathematical foundations to modern applications in cosmology and black hole physics • Provides mathematical foundations as well as physical applications to give a systematic explanation of canonical methods in gravity • Touches on large areas of theoretical gravitational research: cosmology, black holes, quantum gravity

==endquote==

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Marcus,

Most physics undergraduate courses do not offer even general relativity (not even a basic introduction to it), so Hamiltonian GR is out of question. This is so in Brazil, and as far as I can see, also true elsewhere. http://arxiv.org/abs/gr-qc/0506075

Undergraduate physics has already a lot of fundamental disciplines to cover. Yet, I do think that GR should be introduced as a senior undergraduate elective course.

But Hamiltonian GR, as I see it, is already somewhat too much specialized for undergraduates.

BTW, you can find Hamiltonian GR in Wald's text book (appendix E), a graduate level text book.

In any case, Bojowald's book fills a very important gap. I'm looking forward to it, as certainly many will do.

Best,
Christine

marcus
Gold Member
Dearly Missed
... Yet, I do think that GR should be introduced as a senior undergraduate elective course.
...
GR certainly was offered as an elective for advanced undergrads at UC when I was in grad school. As I recall there was an "upper division" GR course (for Juniors/Seniors). But that was several decades ago, quite a long time---so your information is more current.

...let's not overlook the price - only \$69.56.

marcus
Gold Member
Dearly Missed
Too bad so expensive. But since it is like a TEXTBOOK and he is a wellknown expert you can probably persuade a college or university librarian to buy the book, to add to the library collection. Then you can use the library copy and not have to buy.

GR certainly was offered as an elective for advanced undergrads at UC when I was in grad school. As I recall there was an "upper division" GR course (for Juniors/Seniors). But that was several decades ago, quite a long time---so your information is more current.
Me too (1977-1980) - we had a GR undergrad option. If it's not generally offered these days as an option in physics degrees, I think that's a great shame as it's one of the most beautiful and exciting parts of the field. I didn't see the 3+1 "Lips and Shaft" formalism until postgrad though...

WOWWWWWWWWWWWWW....
it must be a wonderful book by one of the masters, a trilogy alongside thiemman's "Modern Canonical Quantum General Relativity" & Roveli's "Quantum Gravity".
thanks for News