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Strong Standing Gravitational Wave in a Closed Universe

  • Astrophysics and Cosmology
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Abstract

We consider homogeneous time-like sections of a spacetime that correspond to Bianchi type-VIII model. For this model, we find a new class of regular solutions of vacuum Einstein’s equations, which describe a strong standing gravitational wave in a Universe, which is closed in some direction.

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References

  1. B. P. Abbott, R. Abbott, T. D. Abbott, et al. (LIGO Sci. Collab., Virgo Collab.), Phys. Rev. Lett. 116, 061102 (2016).

    Article  ADS  Google Scholar 

  2. L. P. Grishchuk, Phys. Usp. 55, 210 (2012).

    Article  ADS  Google Scholar 

  3. L. Marochnik, Universe 3 (4), 72 (2017).

    Article  ADS  Google Scholar 

  4. S. L. Parnovsky, Phys. A (Amsterdam, Neth.) 104, 210 (1980).

    Article  ADS  Google Scholar 

  5. S. L. Parnovsky and W. Piechocki, Gen. Relat. Grav. 49, 87 (2017).

    Article  ADS  Google Scholar 

  6. V. A. Belinskii, I. M. Khalatnikov, and E. M. Lifshitz, Adv. Phys. 19, 525 (1970).

    Article  ADS  Google Scholar 

  7. V. A. Belinskii, I. M. Khalatnikov, and E. M. Lifshitz, Adv. Phys. 31, 639 (1982).

    Article  ADS  Google Scholar 

  8. J. D. Barrow, Phys. Rep. 85, 1 (1982).

    Article  ADS  MathSciNet  Google Scholar 

  9. A. A. Kirillov, JETP Lett. 55, 561 (1992).

    ADS  MathSciNet  Google Scholar 

  10. A. A. Kirillov, Sov. Phys. JETP 76, 355 (1993).

    ADS  Google Scholar 

  11. G. Montani, Class. Quantum Grav. 12, 2505 (1995).

    Article  ADS  Google Scholar 

  12. A. A. Kirillov and G. Montani, JETP Lett. 66, 475 (1997).

    Article  ADS  Google Scholar 

  13. A. A. Kirillov and G. Montani, Phys. Rev. D 56, 6225 (1997).

    Article  ADS  Google Scholar 

  14. T. Damour and M. Henneaux, Phys. Rev. Lett. 85, 920 (2000).

    Article  ADS  MathSciNet  Google Scholar 

  15. T. Damour and M. Henneaux, Phys. Lett. B 488, 108 (2000).

    Article  ADS  MathSciNet  Google Scholar 

  16. T. Damour and M. Henneaux, Phys. Rev. Lett. 86, 4749 (2001).

    Article  ADS  MathSciNet  Google Scholar 

  17. J. Demaret, M. Henneaux, and P. Spindel, Phys. Lett. B 164, 27 (1985).

    Article  ADS  MathSciNet  Google Scholar 

  18. A. Hosoya, L. G. Jensen, and A. Stein-Schabes, Nucl. Phys. B 238, 657 (1987).

    Article  ADS  Google Scholar 

  19. A. A. Kirillov and V. N. Melnikov, Phys. Rev. D 52, 723 (1995).

    Article  ADS  MathSciNet  Google Scholar 

  20. R. Benini, A. A. Kirillov, and G. Montani, Class. Quantum Grav. 22, 1483 (2005).

    Article  ADS  Google Scholar 

  21. A. H. Taub, Ann. Math. 53, 472 (1951).

    Article  ADS  MathSciNet  Google Scholar 

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Correspondence to A. A. Kirillov.

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Published in Russian in Pis’ma v Zhurnal Eksperimental’noi i Teoreticheskoi Fiziki, 2018, Vol. 107, No. 6, pp. 349–352.

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Kirillov, A.A., Montani, G. & Savelova, E.P. Strong Standing Gravitational Wave in a Closed Universe. Jetp Lett. 107, 333–337 (2018). https://doi.org/10.1134/S0021364018060024

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  • DOI: https://doi.org/10.1134/S0021364018060024

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