Averaging geometrical objects on a differentiable manifold

International Journal of Modern Physics D

Volumn 19, Issue 12, 2010, Pages 1915-1923

  Brannlund, Johan ^a   Van Den Hoogen, Robert ^b   Coley, Alan ^a  

^a DALHOUSIE UNIVERSITY   (Canada)

^b ST FRANCIS XAVIER UNIVERSITY   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 77957597543     PISSN: 02182718     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218271810018062     Document Type: Article

References (25)

1. A. Coley, Averaging in cosmological models, [arXiv:1001.0791].
2. T. Buchert, Gen. Relativ. Gravit. 32 (2000) 105.
3. T. Buchert, Gen. Relativ. Gravit. 33 (2001) 1381.
4. G. F. R. Ellis and T. Buchert, Phy. Lett. A 347 (2005) 38.
5. V. Marra et al., Phys. Rev. D 76 (2007) 123004.
6. V. Marra et al., Phys. Rev. D 77 (2008) 023033.
7. R. M. Zalaletdinov, Gen. Relativ. Gravit. 24 (1992) 1015.
8. R. M. Zalaletdinov, Gen. Relativ. Gravit. 25 (1993) 673.
9. A. A. Coley et al., Phys. Rev. Lett. 595 (2005) 115102.
10. A. A. Coley and N. Pelavas, Phys. Rev. D 75 (2006) 043506.
11. A. A. Coley and N. Pelavas, Phys. Rev. D 74 (2006) 087301.
12. R. J. van den Hoogen, J. Math. Phys. 50 (2009) 082503.
13. F. Debbasch, Eur. Phys. J. B 37 (2004) 257.
14. J. Behrend, [arXiv:gr-qc/0812.2859] (2008).
15. R. J. van den Hoogen, Gen. Relativ. Gravit. 40 (2008) 2213.
16. R. J. van den Hoogen, Parallel transport, non-local calculus, and averaging tensor fields, preprint (2010).
17. R. Hamilton, Mathematics and general relativity, Contemp. Math. 71 (1988) 237.
18. M. Carfora and A. Marzuoli, Phys. Rev. Lett. 53 (1984) 2445.
19. M. Korzynski, [arXiv:0908.4593].
20. R. Weitzenb̈ock, Invariantentheorie (Noordhoff, Groningen, 1923).
21. B. G. Schmidt, Comm. Math. Phys. 29 (1973) 55.
22. G. S. Hall, W. Kay and A. D. Rendall, Gen. Relativ. Gravit. 21 (1989) 439.
23. F. W. Hehl et al., Phys. Rep. 258 (1995) 1.
24. P. Peldan, Class. Quant. Gravit. 11 (1994) 1087.
25. M. Mars and R. M. Zalaletdinov, J. Math. Phys. 38 (1997) 4741.