Abstract
The formulation of general relativity in terms of surface deformations and its extension to supergravity are briefly reviewed. The role of the spacetime signature e is discussed. It is pointed out that ε may be used as a perturbation parameter. The “free” theory corresponds to ε = 0, which is halfway between hyperbolic (ε = −1) and Euclidean (ε = +1) spacetime.
Preview
Unable to display preview. Download preview PDF.
References
C. Teitelboim, in Einstein Centenary Volume (A. Held, ed., GRG Journal, in press).
J.A. Wheeler, in Battelle Rencontres 1967 (C.M. DeWitt and J.A. Wheeler, eds., Benjamin, New York, 1968); also in Analytical Methods in Mathematical Physics (R.P. Gilbert and R. Newton, eds., Gordon and Breach, New York, 1970).
C. Teitelboim, Ph.D. Thesis, Princeton University, 1973, unpublished. Ann. Phys. (N.Y.) 79, 542 (1973); S. Hojman, K. Kuchar and C. Teitelboim, Nature, Phys. Sci. 245, 97 (1973); Ann. Phys. (N.Y.) 96, 88 (1976).
P.A.M. Dirac, Can. J. Math. 2, 129 (1950); 3, 1 (1951); Lectures on Quantum Mechanics (Academic, N.Y., 1964).
P.A.M. Dirac, Proc. Roy. Soc. (London) A246, 326 (1958); R. Arnowitt, S. Deser and C.W. Misner, in Gravitation, an Introduction to Current Research (L. Witten, ed., Wiley, New York, 1962).
P.A.M. Dirac, Phys. Rev. 73, 1092 (1948); J. Schwinger, Phys. Rev. 127, 324 (1962); J. Katz, C. R. Acad. Sci. (France) 254, 1386 (1962).
C. Teitelboim, Phys. Rev. Lett. 38, 1106 (1977).
R. Tabensky and C. Teitelboim, Phys. Lett. 69B, 453 (1977).
S. Ferrara, D.Z. Freedman and P. van Nieuwenhuizen, Phys. Rev. D13, 3214 (1976); S. Deser and B. Zumino, Phys. Lett. 62B, 335 (1976).
J.R. Klauder, Phys. Rev. D2, 272 (1970).
B.S. DeWitt, Phys. Rev. 160, 1113 (1967).
A. Barducci, R. Casalbuoni and L. Lusanna, Nuovo Cimento 35A, 377 (1976); F.A. Berezin and M.S. Marinov, Ann. Phys. (N.Y.)104, 336 (1977). See also C. Teitelboim in Current Trends in the Theory of Fields (Proceedings of a conference held in Tallahassee, Florida in April 1977 on the 50th anniversary of the Dirac equation) and references therein.
C.J. Isham, Proc. Roy. Soc. (London) A351, 209 (1976).
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 1979 Springer-Verlag
About this paper
Cite this paper
Teitelboim, C. (1979). Surface deformations, their square root and the signature of spacetime. In: Beiglböck, W., Böhm, A., Takasugi, E. (eds) Group Theoretical Methods in Physics. Lecture Notes in Physics, vol 94. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-09238-2_90
Download citation
DOI: https://doi.org/10.1007/3-540-09238-2_90
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-09238-4
Online ISBN: 978-3-540-35345-4
eBook Packages: Springer Book Archive