Variational and conformal structure of nonlinear metric-connection gravitational Lagrangians

Journal of Mathematical Physics

Volumn 40, Issue 6, 1999, Pages 3063-3071

  Cotsakis, Spiros ^a   Miritzis, John ^a   Querella, Laurent ^b  

^a UNIVERSITY OF THE AEGEAN   (Greece)

^b UNIVERSITY OF LIÈGE   (Belgium)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0033242410     PISSN: 00222488     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.532744     Document Type: Article

References (29)

1. F. W. Hehl, J. D. McCrea, E. W. Mielke, and Y. Ne'eman, Phys. Rep. 258, 1 (1995).
2. H. Weyl, Space-Time-Matter (Dover, New York 1952).
3. M. Ferraris, M. Francaviglia, and C. Reina, Gen. Relativ. Gravit. 14, 243 (1982).
4. A. S. Eddington, The Mathematical Theory of Relativity (Cambridge University Press, Cambridge, 1922).
5. G. Stephenson, Nuovo Cimento 9, 1959 (1958).
6. G. Stephenson, Nuovo Cimento 9, 2085 (1958).
7. P. Higgs, Nuovo Cimento 11, 816 (1958).
8. C. N. Yang, Phys. Rev. Lett. 33, 445 (1974).
9. H. Buchdahl, Proc. Cambridge Philos. Soc. 56, 396 (1960).
10. H. Buchdahl, J. Phys. A 12, 1229 (1979).
11. N. Van den Bergh, J. Math. Phys. 22, 2245 (1981).
12. B. Shahid-Saless, Phys. Rev. D 35, 467 (1987).
13. V. Hamity and D. Barraco, Gen. Relativ. Gravit. 25, 461 (1993).
14. M. Ferraris, M. Francaviglia, and I. Volovich, Class. Quantum Grav. 11, 1505 (1994).
15. A. Borowiec, M. Ferraris, M. Francaviglia, and I. Volovich, Class. Quantum Grav. 15, 43 (1998).
16. J. R. Ray, Nuovo Cimento B 25, 706 (1975).
17. J. Safko and F. Elston, J. Math. Phys. 17, 1531 (1976).
18. S. Deser, "Inequivalence of first and second order formulations in D = 2 gravity models," gr-qc/9512022, 1995. See also references therein.
19. S. Davis, Gen. Relativ. Gravit. 30, 345 (1998).
20. H. Burton and R. B. Mann, Class. Quantum Grav. 15, 1375 (1998).
21. V. Iyer and R. M. Wald, Phys. Rev. D 50, 846 (1994) (cf. Lemma 2.1).
22. J. Barrow and S. Cotsakis, Phys. Lett. B 214, 515 (1988).
23. S. Cotsakis, Phys. Rev. D 47, 1437 (1993); 49, 1145 (1994) (erratum).
24. S. Cotsakis, Phys. Rev. D 52, 6199 (1995).
25. J. A. Schouten, Ricci Calculus (Springer-Verlag, Berlin, 1954), p. 134.
26. L. Querella, "Constrained variations and nonlinear gravitational Lagrangians," Talk given at GR 15, The 15th Meeting of the International Society on General Relativity and Gravitation, Poona, India, 16-21 December 1997. See also R. Mann, "Summary of session A6, Alternative theories of gravity," gr-qc/9803051.
27. L. Querella, "Constrained variations and nonlinear gravitational Lagrangians," Talk given at GR 15, The 15th Meeting of the International Society on General Relativity and Gravitation, Poona, India, 16-21 December 1997. See also R. Mann, "Summary of session A6, Alternative theories of gravity," gr-qc/9803051.
28. S. Cotsakis, "Mathematical problems in higher order gravity and cosmology," talk given at the 8th Marcel Grossmann Meeting on Recent Developments in Theoretical and Experimental General Relativity, Gravitation and Relativistic Field Theories (MG 8), Jerusalem, Israel, 22-27 June 1997, gr-qc/9712046. See also V. N. Melnikov, "Multidimensional gravity and Cosmology: Exact solutions," gr-qc/9801037.
29. S. Cotsakis, "Mathematical problems in higher order gravity and cosmology," talk given at the 8th Marcel Grossmann Meeting on Recent Developments in Theoretical and Experimental General Relativity, Gravitation and Relativistic Field Theories (MG 8), Jerusalem, Israel, 22-27 June 1997, gr-qc/9712046. See also V. N. Melnikov, "Multidimensional gravity and Cosmology: Exact solutions," gr-qc/9801037.