Gauge theories of gravitation: a reader with commentaries
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| adam_text | Titel: Gauge theories of gravitation
Autor: Blagojević, Milutin
Jahr: 2013
Contents
Foreword by T. W. B. Kibble xi
Preface xiii
Acknowledgments xv
List of Useful Books xvii
Part A The Rise of Gauge Theory of Gravity up to 1961 1
1. From Special to General Relativity Theory 3
Commentary
1.1. A. Einstein, The foundation of the general theory of relativity (in German),
Annalen der Physik 49, 769-822 (1916); extract, pp. 769-779 10
2. Analyzing General Relativity Theory 17
Commentary
2.1. E. Cartan, On a generalization of the notion of Riemann curvature and spaces
with torsion (in French), Comptes Rendus Acad. Sci. (Paris) 174, 593-595 (27
February 1922), translated by G. D. Kerlick in his Ph.D. dissertation (Princeton
University, 1975) 26
2.2. E. Cartan, Space with a Euclidean connection, in: E. Cartan, Riemannian
Geometry in an Orthogonal Frame, translated by Vladislav V. Goldberg (World
Scientific, Singapore, 2001), pp. 119-132 29
2.3. H. Weyl, Electron and gravitation. I. (in German), Zeitschrift fur Physik 56,
330-352 (1929), translated in: L. O Raifeartaigh, The Dawning of Gauge Theory
(Princeton University Press, Princeton, 1997), pp. 121-144 43
2.4. E. Stueckelberg, A possible new type of spin-spin interaction, Phys. Rev. 73, 808
(1948) 67
2.5. H. Weyl, A remark on the coupling of gravitation and electron, Phys. Rev. 77,
699-701 (1950) 68
3. A Fresh Start by Yang-Mills and Utiyama 71
Commentary
3.1. C. N. Yang and R. Mills, Conservation of isotopic spin and isotopic gauge invari-
ance, Phys. Rev. 96, 191-195 (1954) 77
3.2. R. Utiyama, Invariant theoretical interpretation of interactions, Phys. Rev. 101,
1597-1607 (1956) 82
3.3. J. J. Sakurai, Theory of strong interactions, Ann. Phys. (N.Y.) 11, 1-48 (1960);
extract, pp. 6-40 93
3.4. S. L. Glashow and M. Gell-Mann, Gauge theories of vector particles, Ann. Phys.
(N.Y.) 15, 437-460 (1961); extract, footnote 4 on p. 448 96
3.5. R. Feynman, F. B. Morinigo, and W. G. Wagner, Feynman Lectures on
Gravitation, B. Hatfield (ed.) (Addison-Wesley, Reading, MA, 1995); extract,
pp. 113-115 97
Part B Poincare Gauge Theory 99
4. Einstein-Cartan(-Sciama-Kibble) Theory as a Viable Gravitational Theory 101
Commentary
4.1. D. W. Sciama, The analogy between charge and spin in general relativity, in:
Recent Developments in General Relativity, Festschrift for Infeld (Pergamon Press,
Oxford; PWN, Warsaw, 1962), pp. 415-439 (preprint issued in 1960, cited by
Kibble as Ref. [5]) 112
4.2. T. W. B. Kibble, Lorentz invariance and the gravitational field, J. Math. Phys.
2, 212-221 (1961) (manuscript received on 19 August 1960) 136
4.3. P. von der Heyde, The equivalence principle in the U4 theory of gravitation, Nuovo
Cim. Lett. 14, 250-252 (1975) 146
4.4. W.-T. Ni, Searches for the role of spin and polarization in gravity, Rep. Prog.
Phys. 73, 056901 (2010); extracts, pp. 1-11, pp. 19-24 149
4.5. A. Trautman, Einstein-Cartan theory, in: J.-P. Francoise et al. (eds.), Encyclope-
dia of Mathematical Physics, vol. 2 (Elsevier, Oxford, 2006), pp. 189-195 166
5. General Structure of Poincare Gauge Theory (Including Quadratic Lagrangians) 173
Commentary
5.1. F. W. Hehl, J. Nitsch, and P. von der Heyde, Gravitation and Poincare gauge
field theory with quadratic Lagrangian, in: A. Held (ed.), General Relativity
and Gravitation—One Hundred Years after the Birth of Albert Einstein, vol. 1
(Plenum, New York, 1980), pp. 329-355 183
5.2. K. Hayashi and T. Shirafuji, Gravity from Poincare gauge theory of
the fundamental particles. I, Prog. Theor. Phys. 64, 866-882 (1980); extract,
pp. 866-877 210
5.3. P. Baekler, F. W. Hehl, and J. M. Nester, Poincare gauge theory of gravity:
Friedman cosmology with even and odd parity modes. Analytic part, Phys. Rev.
D 83, 024001 (2011); extracts, p. 1, pp. 2-9, pp. 21-23 [arXiv:1009.5112v2] 223
6. Translational Gauge Theory 235
Commentary
6.1. G. D. Kerlick, Spin and torsion in general relativity: Foundations, and implications
for astrophysics and cosmology, Ph.D. dissertation (Princeton University, 1975);
extract, pp. 39-49 241
6.2. J. M. Nester, Gravity, torsion and gauge theory, in: H. C. Lee (ed.), An Intro-
duction to Kaluza-Klein Theories (World Scientific, Singapore, 1984), pp. 83-115;
extract, pp. 89-92 246
6.3. Y. Itin, Energy-momentum current for coframe gravity, Class. Quantum Grav.
19, 173-190 (2002); extract, pp. 175-181, p. 189 250
7. Fallacies About Torsion 261
Commentary
7.1. B. Gogala, Torsion and related concepts: An introductory overview, Int. J. Theor.
Phys. 19, 573-586 (1980); extract, pp. 573-583, p. 586 270
Part C Extending the Gauge Group of Gravity 283
8. Poincare Group Plus Scale Transformations: Weyl-Cartan Gauge Theory
of Gravity 285
Commentary
8.1. W. Kopczyhski, J. D. McCrea, and F. W. Hehl, The Weyl group and its currents,
Phys. Lett. A 128, 313-317 (1988) 292
8.2. J. M. Charap and W. Tait, A gauge theory of the Weyl group, Proc. R. Soc.
London A 340, 249-262 (1974) 297
8.3. H. T. Nieh, A spontaneously broken conformal gauge theory of gravitation, Phys.
Lett. A 88, 388-390 (1982) 311
9. From the Poincare to the Affine Group: Metric-Affine Gravity 315
Commentary
9.1. F. W. Hehl, G. D. Kerlick, and P. von der Heyde, On a new metric affine theory
of gravitation, Phys. Lett. B 63, 446-448 (1976) 324
9.2. Y. Ne eman, Gravitational interaction of hadrons: Band-spinor representations
oiGL(n,R), Proc. Nat. Acad. Sci. (USA) 74, 4157-4159 (1977) 327
9.3. E. A. Lord, The metric-affine gravitational theory as the gauge theory of the affine
group, Phys. Lett. A 65, 1-4 (1978) 330
9.4. F. W. Hehl, J. D. McCrea, E. W. Mielke, and Y. Ne eman, Progress in metric-affine
gauge theories of gravity with local scale invariance, Found. Phys. 19, 1075-1100
(1989) _ ___ 334
9.5. Y. Ne eman and Dj. Sijacki, SL(4,R) world spinors and gravity, Phys. Lett. B
157, 275-279 (1985) 360
10. Conformal Gauge Theory of Gravity 365
Commentary
10.1. D. J. Gross and J. Wess, Scale invariance, conformal invariance, and the high-
energy behavior of scattering amplitudes, Phys. Rev. D 2, 753-764 (1970);
extract, pp. 753-756 371
10.2. E. A. Lord and P. Goswami, Gauging the conformal group, Pramana — J. Phys.
25, 635-640 (1985) 375
11. (Anti-)de Sitter Gauge Theory of Gravity* 381
Commentary
11.1. S. W. MacDowell and F. Mansouri, Unified geometric theory of gravity and
supergravity, Phys. Rev. Lett. 38, 739-742 (1977) 386
11.2. K. S. Stelle and P. C. West, Spontaneously broken de Sitter symmetry and the
gravitational holonomy group, Phys. Rev. D 21, 1466-1488 (1980); extracts,
pp. 1466-1474, p. 1488 390
11.3. E. A. Lord, Gauge theory of a group of diffeomorphisms. II. The conformal and
de Sitter group, J. Math. Phys. 27, 3051-3054 (1986) 400
12. From the Square Root of Translations to the Super-Poincare Group 405
Commentary
12.1. S. Deser and B. Zumino, Consistent supergravity, Phys. Lett. B 62, 335-337
(1976) 412
12.2. A. H. Chamseddine and P. C. West, Supergravity as a gauge theory of supersym-
metry, Nucl. Phys. B 129, 39-44 (1977) 415
12.3. P. Townsend, Cosmological constant in supergravity, Phys. Rev. D 15, 2802-2804
(1977) 421
12.4. J. Isenberg, J. M. Nester, and R. Skinner, Massive spin 3/2 field coupled to grav-
ity, in: GR8 - Abstracts of Contributed Papers, 8th International Conference on
General Relativity and Gravitation, August 7-12, 1977, University of Waterloo,
Waterloo, Ontario, Canada, p. 196. 424
Part D Specific Subjects of Metric-Affine Gravity and Poincare Gauge
Theory 427
13. Hamiltonian Structure 429
Commentary
13.1. M. Blagojevic and M. Vasilic, Asymptotic symmetry and conserved quantities in
the Poincare gauge theory of gravity, Class. Quantum Grav. 5, 1241-1257 (1988)
435
13.2. H. Chen, J. M. Nester, and H.-J. Yo, Acausal PGT modes and the nonlinear
constraint effect, Acta Physica Polonica B 29, 961-970 (1998) 452
13.3. J. M. Nester, A covariant Hamiltonian for gravity theories, Mod. Phys. Lett. A
6, 2655-2661 (1991) 462
14. Equations of Motion for Matter* 469
Commentary
14.1. P. B. Yasskin and W. R. Stoeger, Propagation equations for test bodies with spin
and rotation in theories of gravity with torsion, Phys. Rev. D 21, 2081-2094
(1980) 476
14.2. D. Puetzfeld and Yu. N. Obukhov, Probing non-Riemannian spacetime geometry,
Phys. Lett. A 372, 6711-6716 (2008) 490
15. Cosmological Models 497
Commentary
15.1. M. Tsamparlis, Cosmological principle and torsion, Phys. Lett. A 75, 27-28
(1979) 504
15.2. A. V. Minkevich, Generalised cosmological Friedmann equations without gravi-
tational singularity, Phys. Lett. A 80, 232-234 (1980) 506
15.3. K.-F. Shie, J. M. Nester, and H.-J. Yo, Torsion cosmology and the
accelerating universe, Phys. Rev. D 78, 023522 (2008) 509
16. Exact Solutions 525
Commentary
16.1. P. Baekler, A spherically symmetric vacuum solution of the quadratic Poincare
gauge field theory of gravitation with Newtonian and confinement potentials,
Phys. Lett. B 99, 329-332 (1981) 534
16.2. J. D. McCrea, P. Baekler, and M. Giirses, A Kerr-like solution of the Poincare
gauge field equations, Nuovo Cim. B 99, 171-177 (1987) 538
16.3. A. Garcia, A. Macias, D. Puetzfeld, and J. Socorro, Plane-fronted waves in
metric-affine gravity, Phys. Rev. D 62, 044021 (2000) [arXiv:gr-qc/0005038]
545
16.4. T. Dereli, M. Onder, J. Schray, R. W. Tucker, and C. Wang, Non-Riemannian
gravity and the Einstein-Proca system, Class. Quantum Grav. 13 , L103-L109
(1996) [arXiv:gr-qc/9604039] 552
17. Poincare Gauge Theory in Three Dimensions 559
Commentary
17.1. E. W. Mielke and P. Baekler, Topological gauge model of gravity with torsion,
Phys. Lett. A 156, 399-403 (1991) 566
17.2. M. Blagojevic and B. Cvetkovic, Black hole entropy in 3D gravity with torsion,
Class. Quantum Grav. 23, 4781-4795 (2006) 571
18. Dislocations and Torsion* 587
Commentary
18.1. E. Kloner, Continuum theory of defects, in: R. Balian, M. Kleman, and
J. P. Poirier (eds.), Physics of Defects, Proceedings of the Les Houches Summer
School, Session XXXV (North-Holland, Amsterdam, 1981), pp. 215-315;
extract, Differential geometry of defects in crystal lattices, the first 6 subsections
on pp. 284-300 plus references 594
18.2. R. A. Puntigam and H. H. Soleng, Volterra distortions, spinning strings, and
cosmic defects, Class. Quantum Grav. 14, 1129-1149 (1997) [arXiv:gr-qc/
9604057]; extracts, pp. 1131-1136, p. 1148 608
19. The Yang Episode: A Historical Case Study* 617
Commentary
19.1. C. N. Yang, Integral formalism for gauge fields, Phys. Rev. Lett. 33, 445-447
(1974) 622
19.2. C. N. Yang, Selected Papers (1945-1980), With Commentary (World Scientific,
Singapore, 2005) pp. 73-74; extract, p. 74 625
19.3. C. W. F. Everitt, Gravity Probe B: I. The scientific implications, in: Sixth Marcel
Grossmann Meeting on General Relativity, Part B (World Scientific, Singapore,
1992), pp. 1632-1644; extract, pp. 1641-1642 626
19.4. J.-P. Hsu and D. Fine (eds.), 100 Years of Gravity and Accelerated Frames, The
Deepest Insights of Einstein and Yang-Mills (World Scientific, Singapore, 2005),
p. 390 627
19.5. W.-T. Ni, Yang s gravitational field equations, Phys. Rev. Lett. 35, 319-320
(1975) 628
Index 631
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| title | Gauge theories of gravitation a reader with commentaries |
| title_auth | Gauge theories of gravitation a reader with commentaries |
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| title_full | Gauge theories of gravitation a reader with commentaries eds. Milutin Blagojević ... |
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