Abstract
General Relativity and Teleparallel Gravity are constructed on the very same metric spacetime—the same metric and tetrad field are at work in both approaches. They use, however, different connections: the torsionless Levi-Civita connection in the first, and the vanishing-curvature Weitzenböck connection in the second. For the sake of comparison with well-known results of General Relativity, the torsion tensor associated by Teleparallel Gravity to the de Sitter and the Kerr solutions are obtained.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Notes
- 1.
In this section we use units with c=1.
References
Schrödinger, E.: Expanding Universes. Cambridge University Press, Cambridge (1956)
Hawking, S.W., Ellis, G.F.R.: The Large Scale Structure of Space-Time. Cambridge University Press, Cambridge (1973)
Gürsey, F.: In: Gürsey, F. (ed.) Group Theoretical Concepts and Methods in Elementary Particle Physics. Istanbul Summer School of Theoretical Physics. Gordon and Breach, New York (1962)
Aldrovandi, R., Pereira, J.G.: An Introduction to Geometrical Physics. World Scientific, Singapore (1995)
Aldrovandi, R., Barbosa, A.L., Calçada, M., Pereira, J.G.: Found. Phys. 33, 613 (2003). gr-qc/0105068
Bacry, H., Lévy-Leblond, J.M.: J. Math. Phys. 9, 1605 (1968)
Gibbons, G.W., Patricot, C.E.: Class. Quantum Gravity 20, 5225 (2003). gr-qc/0308200
Misner, C.W., Thorne, K.S., Wheeler, J.A.: Gravitation. Freeman, San Francisco (1973)
Pereira, J.G., Vargas, T., Zhang, C.M.: Class. Quantum Gravity 18, 833 (2001). gr-qc/0102070
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). Teleparallel Equivalent of Some Solutions. In: Teleparallel Gravity. Fundamental Theories of Physics, vol 173. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-5143-9_14
Download citation
DOI: https://doi.org/10.1007/978-94-007-5143-9_14
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)