Some aspects of Holst and Nieh-Yan terms in general relativity with torsion

Classical and Quantum Gravity

Volumn 27, Issue 13, 2010, Pages

  Banerjee, Kinjal ^a  

^a INTER UNIVERSITY CENTRE FOR ASTRONOMY AND ASTROPHYSICS   (India)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 77953117951     PISSN: 02649381     EISSN: 13616382     Source Type: Journal    
DOI: 10.1088/0264-9381/27/13/135012     Document Type: Article

References (35)

1. Lanczos C 1938 A remarkable property of the Riemann-Christoffel tensor in four dimensions Ann. Math. 39 842
2. Eguchi T, Gilkey P B and Hanson A J 1980 Gravitation, gauge theories and differential geometry Phys. Rep. 66 213
3. Barbero J F G 1995 Real Ashtekar variables for Lorentzian signature space times Phys. Rev. D 51 5507 (arXiv:gr-qc/9410014)
4. Immirzi G 1997 Real and complex connections for canonical gravity Class. Quantum Grav. 14 L177 (arXiv:gr-qc/9612030)
5. Holst S 1996 Barbero's Hamiltonian derived from a generalized Hilbert-Palatini action Phys. Rev. D 53 5966 (arXiv:gr-qc/9511026)
6. Barros e Sa N 2001 Hamiltonian analysis of general relativity with the Immirzi parameter Int. J. Mod. Phys. D 10 261 (arXiv:gr-qc/0006013)
7. Ashtekar A 1986 New variables for classical and quantum gravity Phys. Rev. Lett. 57 2244
8. Ashtekar A 1987 New Hamiltonian formulation of general relativity Phys. Rev. D 36 1587
9. Date G, Kaul R K and Sengupta S 2009 Topological interpretation of Barbero-Immirzi parameter Phys. Rev. D 79 044008 (arXiv:0811.4496 [gr-qc])
10. Mercuri S 2006 Fermions in Ashtekar-Barbero-Immirzi formulation of general relativity Phys. Rev. D 73 084016 (arXiv:gr-qc/0601013)
11. Mercuri S 2006 Nieh-Yan invariant and fermions in Ashtekar-Barbero- Immirzi formalism (arXiv:gr-qc/0610026)
12. Lattanzi M and Mercuri S 2009 A solution of the strong CP problem a la Peccei-Quinn through the Nieh-Yan modified gravity and cosmological implications arXiv:0911.2698 [gr-qc]]
13. Nieh H T and Yan M L 1982 An identity in Riemann-Cartan geometry J. Math. Phys. 23 373
14. Nieh H T and Yang C N 2007 A torsional topological invariant Int. J. Mod. Phys. A 22 5237
15. Chandia O and Zanelli J 1997 Topological invariants, instantons and chiral anomaly on spaces with torsion Phys. Rev. D 55 7580 (arXiv:hep-th/ 9702025)
16. Rovelli C 1998 Loop quantum gravity Living Rev. Rel. 1 1 (arXiv:gr-qc/9710008)
17. Thiemann T 2001 Introduction to Modern Canonical Quantum General Relativity arXiv:gr-qc/0110034
18. Ashtekar A and Lewandowski J 2004 Background independent quantum gravity: a status report Class. Quantum Grav. 21 R53 (arXiv:gr-qc/0404018)
19. Hehl F W, Von Der Heyde P, Kerlick G D and Nester J M 1976 General relativity with spin and torsion: foundations and prospects Rev. Mod. Phys. 48 393
20. Hehl F W, Kerlick G D and Von Der Heyde P 1974 General relativity with spin and torsion and its deviations from Einstein's theory Phys. Rev. D 10 1066
21. Hammond R T 2002 Torsion gravity Rep. Prog. Phys. 65 599
22. Padmanabhan T 2005 Gravity and the thermodynamics of horizons Phys. Rep. 406 49 (arXiv:gr-qc/0311036)
23. Padmanabhan T 2009 Thermodynamical aspects of gravity: new insights arXiv:0911.5004 [gr-qc]
24. Mukhopadhyay A and Padmanabhan T 2006 Holography of gravitational action functionals Phys. Rev. D 74 124023 (arXiv:hep-th/0608120)
25. Eisenhart L P 1927 Non-Riemannian geometry Amer. Math. Soc. Colloquium Publications 8
26. Fabbri L 2008 On the problem of unicity in Einstein-Sciama-Kibble theory Ann. Fond. Broglie 33 365 (arXiv:0808.3064 [gr-qc])
27. Fabbri L 2007 On a completely antisymmetric Cartan tensor Ann. Fond. Broglie 32 215 (arXiv:gr-qc/0608090)
28. Fabbri L 2009 On the principle of equivalence arXiv:0905.2541 [gr-qc]
29. Perez A and Rovelli C 2006 Physical effects of the Immirzi parameter Phys. Rev. D 73 044013 (arXiv:gr-qc/0505081)
30. Obukhov Y N and Korotkii V A 1987 The Weyssenhoff fluid in Einstein-Cartan theory Class. Quantum Grav. 4 1633
31. Prasanna A R 1975 Static fluid spheres in Einstein-Cartan theory Phys. Rev. D 11 2076
32. Arkuszewski W, Kopczynski W and Ponomarev V N 1975 Matching conditions in the Einstein-Cartan theory of gravitation Commun. Math. Phys. 45 183
33. Frolov V P and Novikov I D 1998 Black Hole Physics: Basic Concepts and New Developments (Dordrecht, The Netherlands: Kluwer)
34. Aros R, Contreras M, Olea R, Troncoso R and Zanelli J 2000 Conserved charges for gravity with locally AdS asymptotics Phys. Rev. Lett. 84 1647 (arXiv:gr-qc/9909015)
35. Miskovic O and Olea R 2009 Topological regularization and self-duality in four-dimensional anti-de Sitter gravity Phys. Rev. D 79 124020 (arXiv:0902.2082 [hep-th])