Bimetric theory with exchange symmetry

@article{Hossenfelder2008BimetricTW,
  title={Bimetric theory with exchange symmetry},
  author={S. Hossenfelder},
  journal={Physical Review D},
  year={2008},
  volume={78},
  pages={044015}
}
We propose an extension of general relativity with two different metrics. To each metric we define a Levi-Cevita connection and a curvature tensor. We then consider two types of fields, each of which moves according to one of the metrics and its connection. To obtain the field equations for the second metric we impose an exchange symmetry on the action. As a consequence of this ansatz, additional source terms for Einstein's field equations are generated. We discuss the properties of these… Expand
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References

SHOWING 1-10 OF 14 REFERENCES
Rev
  • Mod. Phys. 29, 423-428
  • 1957
Class
Phys
  • Lett. B636
  • 2006
Int
  • J. Mod. Phys. A 20, 2341
  • 2005
Gen
  • R el. Grav.36
  • 2004
Int
  • J. Mod. Phys. D 13, 555
  • 2004
Phys
  • Rev. D 70, 081501
  • 2004
Int
  • J. Mod. Phys. D12, 281
  • 2003
Phys
  • Rev. Lett. 90, 201102
  • 2003
Phys
  • Rev. D 65, 104014
  • 2002
...
1
2
...