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The Energy of Asymptotically de Sitter Spacetimes in Kaluza—Klein Theory

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We use a Hamiltonian approach to derive a general expression for 5D Kaluza—Klein metrics which depend on the extra coordinate but whose 4D embedded spacetimes are asymptotically de Sitter. This enables us to better understand the nature of the cosmological constant and the role played by the dimension in inducing 4D matter from 5D geometry.

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REFERENCES

  1. Overduin, J. M., Wesson, P. S. (1997). Phys. Rep. 283, 303.

    Google Scholar 

  2. Rippl, S., Romero, C., Tavakol, R. (1995). Class. Quantum Grav. 12, 2411.

    Google Scholar 

  3. Romero, C., Tavakol, R., Zalaletdinov, R. (1996). Gen. Rel. Grav. 28, 365.

    Google Scholar 

  4. Lidsey, J. E., Tavakol, R., Romero, C. (1997). Mod. Phys. A 12, 2319.

    Google Scholar 

  5. Wesson, P. S., Ponce de Leon, J. (1992) J. Math. Phys. 33, 3883.

    Google Scholar 

  6. Sajko, W. N. (1999). Phys. Rev. D 60, 104038.

    Google Scholar 

  7. Gross, D. J., Perry, M. J. (1983). Nucl. Phys. B 226, 29.

    Google Scholar 

  8. Davidson, A., Owen, D. A. (1985). Phys. Lett. B 155, 247.

    Google Scholar 

  9. Deser, S., Soldate, M., (1989). Nucl. Phys. B 311, 739.

    Google Scholar 

  10. Billyard, A., Wesson, P. S., Kalligas, D. (1995). Int. J. Mod. Phys. D 4, 639.

    Google Scholar 

  11. Wesson, P. S., Mashhoon, B., Liu, H. (1997). Mod. Phys. Lett. A 12, 2309.

    Google Scholar 

  12. Will, C. M. (1992). Int. J. Mod. Phys. D 1, 13.

    Google Scholar 

  13. Mashhoon, B., Liu, H., Wesson, P. S. (1994). Phys. Lett. B 331, 305.

    Google Scholar 

  14. Mashhoon, B., Wesson, P. S., Liu, H. (1998). Gen. Rel. Grav. 30, 555.

    Google Scholar 

  15. Hawking, S. W., Horowitz, G. T. (1996). Class. Quantum Grav. 13, 1487.

    Google Scholar 

  16. Abbott, L. F., Deser, S. (1982). Nucl. Phys. B 195, 76.

    Google Scholar 

  17. Nakao, K., Shiromizu, T., Maeda, K. (1994). Class. Quantum Grav. 11, 2059.

    Google Scholar 

  18. Shiromizu, T. (1994). Phys. Rev. D 49, 5056.

    Google Scholar 

  19. Wesson, P. S. (1999). Space-Time-Matter(World Scientific, Singapore).

    Google Scholar 

  20. Weinberg, S. (1989). Rev. Mod. Phys. 61, 1.

    Google Scholar 

  21. Wetterich, C. (1985). Nucl. Phys. B 225, 480.

    Google Scholar 

  22. Vilenkin, A. (1982). Phys. Lett. B 117, 25.

    Google Scholar 

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Sajko, W.N., Wesson, P.S. The Energy of Asymptotically de Sitter Spacetimes in Kaluza—Klein Theory. General Relativity and Gravitation 32, 1381–1388 (2000). https://doi.org/10.1023/A:1001903006935

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  • DOI: https://doi.org/10.1023/A:1001903006935

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