Abstract
Due to their shared abelian gauge structure, Teleparallel Gravity and Electromagnetism are similar in several aspects. By analogy to the phase-factor approach to Maxwell’s theory, a teleparallel non-integrable phase-factor formalism for gravitation can be developed. It represents the quantum mechanical version of the classical gravitational force, and leads to simple descriptions of the Colella-Overhauser-Werner experiment and of the gravitational Aharonov-Bohm effect. In the classical (non-quantum) limit, it reduces to the force equation of Teleparallel Gravity.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Yang, C.N.: Phys. Rev. Lett. 33, 445 (1974)
Wu, T.T., Yang, C.N.: Phys. Rev. D 12, 3845 (1975)
Aldrovandi, R., Pereira, J.G., Vu, K.H.: Class. Quantum Gravity 21, 51 (2004). gr-qc/0310110
Colella, R., Overhauser, A.W., Werner, S.A.: Phys. Rev. Lett. 34, 1472 (1974)
Greenberger, D.: Ann. Phys. 47, 116 (1968)
Greenberger, D., Overhauser, A.W.: Rev. Mod. Phys. 51, 43 (1979)
Lämmerzahl, C.: Gen. Relativ. Gravit. 28, 1043 (1996). gr-qc/9605065
Lämmerzahl, C.: Acta Phys. Pol. 29, 1057 (1998). gr-qc/9807072
Lawrence, A.K., Leiter, D., Samozi, G.: Nuovo Cimento B 17, 113 (1973)
Ford, L.H., Vilenkin, A.: J. Phys. A 14, 2353 (1981)
Bezerra, V.B.: Class. Quantum Gravity 8, 1939 (1991)
Aharonov, Y., Bohm, D.: Phys. Rev. 115, 485 (1959)
Peshkin, M., Tonomura, A.: The Aharonov-Bohm Effect. Lecture Notes in Physics, vol. 340. Springer, Berlin (1989)
Harris, E.G.: Am. J. Phys. 64, 378 (1996)
Felsager, B.: Geometry, Particles, and Fields. Springer, New York (1998)
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 2013 Springer Science+Business Media Dordrecht
About this chapter
Cite this chapter
Aldrovandi, R., Pereira, J.G. (2013). Global Formulation for Gravity. In: Teleparallel Gravity. Fundamental Theories of Physics, vol 173. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-5143-9_7
Download citation
DOI: https://doi.org/10.1007/978-94-007-5143-9_7
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-007-5142-2
Online ISBN: 978-94-007-5143-9
eBook Packages: Physics and AstronomyPhysics and Astronomy (R0)