Skip to main content
Log in

Quantization of Gravitational Waves and Squeezing

  • Published:
Acta Physica Hungarica A) Heavy Ion Physics

Summary

The question whether gravitational waves are quantised or not can in principle be answered by the help of correlation measurements. If the gravitational waves are quantised and they are generated by the change of the background metrics then they can be squeezed. In a squeezed state there is a correlation between the phase of the wave and the quantum uctuations. It is proposed to analyse the data to be obtained by the gravitational detectors from the point of view of such correlations. Explicit formulae are derived for the squeezing parameters of the quantised gravitational waves. The head on collision of two identical black holes is analysed as a possible source of squeezed gravitational waves.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. V.D. Zacharov, Gravitational Waves in Einstein’s Theory, John Wiley and Sons, New York, 1973.

    Google Scholar 

  2. R.A. Hulse and J.H. Taylor, Astrophys. J. 195 (1975) L51.

    Article  ADS  Google Scholar 

  3. T. Damour and N. Deruelle, Ann. Inst. H. Poincaré (Phys. Théor.) 44 (1986) 263.

    MathSciNet  Google Scholar 

  4. J. Weber, General Relativity and Gravitational Waves, Interscience, New York, 1961.

    MATH  Google Scholar 

  5. A. Einstein, Preuss. Akad. der Wissenschaften 1 (1918) 154.

    Google Scholar 

  6. R. Hanbury-Brown and R.Q. Twiss, Nature (London) 177 (1956) 27; R. Hanbury-Brown and R.Q. Twiss, Nature (London) 178 (1956) 1046.

    Article  ADS  Google Scholar 

  7. R.J. Glauber, Phys. Rev. Lett. 10 (1963) 84; R.J. Glauber, Phys. Rev. 131 (1963) 2766.

    Article  ADS  MathSciNet  Google Scholar 

  8. D. Stoler, Phys. Rev. D1 (1970) 3217; M. Rosenbluh and R.M. Shelby, Phys. Rev. Lett. 66 (1991) 153.

    ADS  Google Scholar 

  9. L. Grishchuk and Y.V. Sidorov, Phys. Rev. D42 (1990) 3414.

    ADS  Google Scholar 

  10. N.N. Bogoljubov, Nuovo Cimento 7 (1958) 794; J.G. Valatin, Nuovo Cimento 7 (1958) 843.

    Article  Google Scholar 

  11. L.D. Landau and E.M. Lifshitz, The Classical Theory of Fields, Pergamon, New York, 1975.

    MATH  Google Scholar 

  12. C.W. Misner, Phys. Rev. 118 (1960) 1110.

    Article  ADS  MathSciNet  Google Scholar 

  13. P. Anninos, D. Hobill, E. Seidel, L. Smarr and Wai Mo Suen, Phys. Rev. Letters 71 (1993) 2851; P. Anninos, D. Hobill, E. Seidel, L. Smarr and Wai Mo Suen, Phys. Rev. D52 (1995) 2044; P. Anninos, R.H. Price, J. Pullin, E. Seidel and Wai Mo Suen, Phys. Rev. D52 (1995) 4462.

    Article  ADS  Google Scholar 

  14. T. Regge and J.A. Wheeler, Phys. Rev. 108 (1957) 1063.

    Article  ADS  MathSciNet  Google Scholar 

  15. F.J. Zerilli, Phys. Rev. Letters 24 (1970) 737.

    Article  ADS  Google Scholar 

  16. S. Brandt, J.A. Font, J.M. Ibanez, J. Masso and E. Seidel, Comput. Phys. Commun. 124 (2000) 169.

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Lovas, I. Quantization of Gravitational Waves and Squeezing. APH N.S., Heavy Ion Physics 13, 297–304 (2001). https://doi.org/10.1556/APH.13.2001.4.12

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1556/APH.13.2001.4.12

Keywords

Navigation