Abstract
We show how to use the quasi-Maxwell formalism to obtain solutions of Einstein’s field equations corresponding to homogeneous cosmologies—namely Einstein’s universe, Gödel’s universe, and the Ozsvath-Farnsworth-Kerr class I solutions—written in frames for which the associated observers are stationary.
ACKNOWLEDGMENTS
The authors would like to thank Filipe Mena and José Mourão for carefully reading an early version of this work. The second author (J.N.) was partially supported by FCT/POCTI/FEDER.
REFERENCES
- 1. J. Bicak, Lect. Notes Phys. 540, 1 (2000). Google ScholarCrossref
- 2. D. Lynden-Bell and M. Nouri-Zonoz, Rev. Mod. Phys. https://doi.org/10.1103/RevModPhys.70.427 70, 427 (1998). Google ScholarCrossref
- 3. M. Nouri-Zonoz, Class. Quantum Grav. https://doi.org/10.1088/0264-9381/14/11/012 14, 3123 (1997). Google ScholarCrossref
- 4. M. Nouri-Zonoz and A. Tavanfar, Class. Quantum Grav. https://doi.org/10.1088/0264-9381/18/20/308 18, 4293 (2001). Google ScholarCrossref
- 5. W. Oliva, Geometric Mechanics (Springer, New York 2002). Google ScholarCrossref
- 6. M. Ryan and L. Shepley, Homogeneous Relativistic Cosmologies (Princeton University Press, 1975). Google Scholar
- 7. H. Stephani, D. Kramer, M. MacCallum, C. Hoensalaers, and E. Herlt, Exact Solutions of Einstein’s Field Equations (Cambridge University Press, Cambridge, MA, 2003). Google ScholarCrossref
- 8. R. Wald, General Relativity (University of Chicago Press, Chicago, 1984). Google ScholarCrossref
- 9. F. Warner, Foundations of Differentiable Manifolds and Lie Groups (Springer, New York, 1983). Google ScholarCrossref
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