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Polarization of Gravitational Waves in General Teleparallel Theories of Gravity

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Abstract

We determine the possible gravitational wave polarizations in two general classes of teleparallel gravity theories, using the metric and symmetric teleparallel geometries. For this purpose we apply the Newman–Penrose formalism, and find that depending on the choice of parameters, the E(2) class of the theories is one of N2,N3, III5, II6, corresponding to two to six polarizations, where all of them include the two tensor polarizations known from general relativity. We also find classes of theories apart from general relativity which yield the same polarizations.

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References

  1. B. P. Abbott et al. (Virgo, LIGO Scientific), Phys. Rev. Lett. 119, 141101 (2017); arXiv: 1709.09660.

    Article  ADS  Google Scholar 

  2. E. Newman and R. Penrose, J. Math. Phys. 3, 566 (1962).

    Article  ADS  Google Scholar 

  3. D.M. Eardley, D. L. Lee, A. P. Lightman, R. V. Wagoner, and C. M. Will, Phys. Rev. Lett. 30, 884 (1973).

    Article  ADS  Google Scholar 

  4. D. M. Eardley, D. L. Lee, and A. P. Lightman, Phys. Rev. D 8, 3308 (1973).

    Article  ADS  Google Scholar 

  5. C. Møller, K. Dan. Vidensk. Selsk. Mat. Fys. Skr. 1, 1 (1961).

    Google Scholar 

  6. Y.M. Cho, Phys. Rev. D 14, 2521 (1976).

    Article  ADS  MathSciNet  Google Scholar 

  7. J. W. Maluf, Ann. Phys. 525, 339 (2013); arXiv: 1303.3897.

    Article  MathSciNet  Google Scholar 

  8. J. M. Nester and H.-J. Yo, Chin. J. Phys. 37, 113 (1999); gr-qc/9809049.

    Google Scholar 

  9. M. Adak, M. Kalay, and O. Sert, Int. J.Mod. Phys. D 15, 619 (2006), gr-qc/0505025.

    Article  ADS  Google Scholar 

  10. C. M. Will, Theory and Experiment in Gravitational Physics (Cambridge Univ. Press, Cambridge, 1993).

    Book  MATH  Google Scholar 

  11. S. Bahamonde, Ch.G. Böhmer, and M. Krššák, Phys. Lett. B 775, 37 (2017); arXiv: 1706.04920.

    Article  ADS  MathSciNet  Google Scholar 

  12. K. Hayashi and T. Shirafuji, Phys. Rev. D 19, 3524 (1979).

    Article  ADS  MathSciNet  Google Scholar 

  13. M. Hohmann, M. Krššák, C. Pfeifer, and U. Ualikhanova(2018, in press).

    Google Scholar 

  14. A. Golovnev, T. Koivisto, and M. Sandstad, Class. Quantum Grav. 34, 145013 (2017); arXiv: 1701.06271.

    Article  ADS  Google Scholar 

  15. J. Beltran Jimenez, L. Heisenberg, and T. Koivisto (2017); arXiv: 1710.03116.

  16. J. Beltran Jimenez, L. Heisenberg, and T. S. Koivisto (2018); arXiv: 1803.10185.

  17. M. Hohmann, C. Pfeifer, J. L. Said, and U. Ualikhanova (2018, in press).

  18. M. Hohmann, L. Järv, and U. Ualikhanova, Phys. Rev. D 97, 104011 (2018); arXiv: 1801.05786.

    Article  ADS  Google Scholar 

  19. M. Hohmann, arXiv:1801.06528 (2018).

    Google Scholar 

  20. M. Hohmann and C. Pfeifer (2018); arXiv:1801.06536.

  21. M. Hohmann (2018); arXiv:1801.06531.

  22. L. Järv, M. Rünkla, M. Saal, and O. Vilson (2018); arXiv:1802.00492.

  23. M. Rünkla and O. Vilson (2018); arXiv:1805.12197.

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Authors and Affiliations

  1. Laboratory of Theoretical Physics, Institute of Physics, University of Tartu, Tartu, Estonia

    M. Hohmann

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  1. M. Hohmann
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Correspondence to M. Hohmann.

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The article is published in the original.

Paper presented at the Third Zeldovich meeting, an international conference in honor of Ya.B. Zeldovich held in Minsk, Belarus on April 23–27, 2018. Published by the recommendation of the special editors: S.Ya. Kilin, R. Ruffini, and G.V. Vereshchagin.

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Hohmann, M. Polarization of Gravitational Waves in General Teleparallel Theories of Gravity. Astron. Rep. 62, 890–897 (2018). https://doi.org/10.1134/S1063772918120235

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  • DOI: https://doi.org/10.1134/S1063772918120235

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