Dotted and undotted algebraic spinor fields in general relativity

International Journal of Modern Physics D

Volumn 13, Issue 8, 2004, Pages 1637-1659

  Capelas De Oliveira, E ^a   Rodrigues Jr , W A ^a  

^a UNIVERSITY OF CAMPINAS   (Brazil)

Author keywords

Clifford bundles; Dotted and undotted spinor fields; General relativity

Indexed keywords

EID: 8644260712     PISSN: 02182718     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218271804005201     Document Type: Article

References (39)

1. I. M. Been and R. W. Tucker, An Introduction to Spinors and Geometry with Applications in Physics (Adam Hilger, Bristol and New York, 1987).
2. M. Carmeli, Group Theory and Relativity (McGraw-Hill, New York, 1977).
3. M. Carmeli, E. Leibowitz and N. Nissani, Gravitation: S1(2, C) Gauge Theory and Conservation Laws (World Scientific, Singapore, 1990).
4. Y. Choquet-Bruhat, C. DeWitt-Morete and M. Dillard-Bleick, Analysis, Manifolds and Physics, revised edition (North Holland, Amsterdam, 1982).
5. A. Crumeyrolle, Orthogonal and Sympletic Clifford Algebras (Kluwer, Dordrecht, 1990).
6. V. V. Fernández, A. M. Moya, and W. A. Rodrigues, Jr., Advances in Applied Clifford Algebras 11 (S3), 1 (2001).
7. V. V. Fernández, A. M. Moya, and W. A. Rodrigues, Jr., Advances in Applied Clifford Algebras 11 (S3), 23 (2001).
8. V. V. Fernández, A. M. Moya and W. A. Rodrigues, Jr., Advances in Applied Clifford Algebras 11 (S3), 41 (2001).
9. V. V. Fernández, A. M. Moya and W. A. Rodrigues, Jr., Advances in Applied Clifford Algebras 11 (S3), 49 (2001).
10. V. L. Figueiredo and E. Capelas de Oliveira and W. A. Rodrigues, Jr., Int. J. Theor. Phys. 29, 371, 396 (1990).
11. R. Geroch, J. Math. Phys. 9, 1739 (1988).
12. M. Göeckeler and T. Schückler, Differential Geometry, Gauge Theories and Gravity (Cambridge University Press, Cambridge, 1987).
13. D. Hestenes, Spacetime Algebra (Gordon and Breach, New York, 1966).
14. D. Hestenes, J. Math. Phys. 8, 798 (1967).
15. D. Hestenes and G. Sobczyk, Clifford Algebra to Geometrical Calculus (Reidel, Dordrecht, 1984).
16. H. B. Lawson, Jr. and M. L. Michelson, Spin Geometry (Princeton University Press, Princeton, 1989).
17. P. Lounesto, Clifford Algebras and Spinors, London Math. Soc., Lecture Notes Series 239 (Cambridge University Press, Cambridge, 1997).
18. W. Miller, Jr., Symmetry Groups and their Applications (Academic Press, New York, 1972).
19. R. A. Mosna and W. A. Rodrigues, Jr., J. Math. Phys. 45, 2945 (2004).
20. A. M. Moya, V. V. Fernández and W. A. Rodrigues, Jr., Advances in Applied Clifford Algebras 11(83), 69 (2001).
21. A. M. Moya, V. V. Fernández and W. A. Rodrigues, Jr., Advances in Applied Clifford Algebras 11(83), 79 (2001).
22. A. M. Moya, V. V. Fernández and W. A. Rodrigues, Jr., Advances in Applied Clifford Algebras 11 (S3), 93 (2001).
23. R. Penrose, Ann. Phys. (N. Y.) 10, 171 (1960).
24. R. Penrose and W. Rindler, Spinors and Space-Time, Vols. 1 and 2 (Cambridge University Press, Cambridge, 1984).
25. F. A. E. Pirani, Introduction to gravitational radiation theory, in Lectures in General Relativity, Vol. 1, eds. A. Trautman, F. A. E. Pirani and H. Bondi, Brandeis Summer Institute in Theoretical Physics, 1964 (Prentice-Hall, London, 1965).
26. I. R. Porteous, Clifford Algebras and the Classical Groups, Cambridge Studies in Advanced Mathematics 50 (Cambridge University Press, Cambridge, 1995).
27. I. R. Porteous, Topological Geometry, 2nd edn. (Van Nostrand Reinhold, London, 1969, Cambridge University Press, Cambridge, 1981).
28. W. A. Rodrigues, Jr. and M. A. F. Rosa, Found. Phys. 19, 705 (1989).
29. E. Capelas de Oliveira and W. A. Rodrigues, Jr., Phys. Lett. A140, 479 (1989).
30. W. A. Rodrigues, Jr., J. Vaz, Jr. and M. Pavsic, Polish Acad. Sci. 37, 295 (1996).
31. W. A. Rodrigues, Jr., J. Math. Phys. 45, 2908 (2004).
32. W. A. Rodrigues, Jr. and M. Sharif, Found. Phys. 31, 1785 (2001).
33. W. A. Rodrigues, Jr. and E. Capelas de Oliveira, Clifford valued differential forms, and some issues in gravitation, electromagnetism and "unified" theories, in publication, Int. J. Mod. Phys. D (2004).
34. M. Sachs, Found. Phys. 15, 977 (1985).
35. M. Sachs, General Relativity and Matter (D. Reidel, Dordrecht, 1982).
36. M. Sachs, Nuovo Cimento B114, 123 (1999).
37. M. Sachs, Quantum Mechanics and Gravity, The Frontiers Science IV (Springer-Verlag, Berlin, 2004).
38. M. Sachs, Found. Phys. 19, 1525 (1989).
39. R. K. Sachs and H. Wu, General Relativity for Mathematicians (Springer-Verlag, New York, 1977).