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Linear gravitational waves and electrodynamic formalism in cosmology

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Abstract

The propagation of linear gravitational waves is studied in open and multiply connected Robertson-Walker cosmologies. In order for the group velocity of the gravitational wave packets to coincide with the speed of light, the linear wave equation must be conformally coupled. This opens the possibility of using the electromagnetic formalism. The gravitational analogue to the electromagnetic field tensor is introduced, and a tensorial counterpart to Maxwell's equations on the spacelike 3-slices is derived. The energy-momentum tensor for linear gravitational waves is constructed without averaging procedures, a strictly positive energy density is obtained, and it is shown that the overall energy of a gravitational pulse scales with the inverse of the expansion factor.

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References

  • Ahlfors, L. V. (1981). Möbius transformations in several dimensions, Lecture Notes, University of Minnesota, Minneapolis.

    Google Scholar 

  • Beardon, A. (1983).The Geometry of Discrete Groups, Springer, New York.

    Google Scholar 

  • Bjorken, J. D., and Drell, S. D. (1964).Relativistic Quantum Mechanics, McGraw-Hill, New York.

    Google Scholar 

  • Corson, M. (1953).Introduction to Tensors, Spinors, and Relativistic Wave Equations, Blackie & Son, London.

    Google Scholar 

  • Fierz, M. (1939).Helvetica Physica Acta,12, 3–37.

    Article  MATH  Google Scholar 

  • Issacson, R. (1968).Physical Review,166, 1263–1271.

    Article  ADS  Google Scholar 

  • Landau, L. D., and Lifshitz, E. M. (1962).The Classical Theory of Fields, Pergamon, Oxford.

    Google Scholar 

  • Misner, C. W., Thorne, K. S., and Wheeler, J. A. (1973).Gravitation, Freeman, San Francisco, Sections 35.13–15.

  • Tomaschitz, R. (1993).Journal of Mathematical Physics,34, 3133–3150.

    Article  MATH  MathSciNet  ADS  Google Scholar 

  • Tomaschitz, R. (1994a).Journal of Mathematical Physics,35, 1573–1596.

    Article  MATH  MathSciNet  ADS  Google Scholar 

  • Tomaschitz, R. (1994b).International Journal of Theoretical Physics,33, 353–377.

    Article  MATH  MathSciNet  Google Scholar 

  • Tomaschitz, R. (1996).Chaos, Solitons & Fractals,7, 753–768.

    Article  Google Scholar 

Download references

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Authors and Affiliations

  1. Department of Physics, Hiroshima University, 1-3-1 Kagami-yama, 724, Higashi-Hiroshima, Japan

    Roman Tomaschitz

  2. Inter-University Centre for Astronomy and Astrophysics, Ganeshkhind, 411 007, Pune, India

    Roman Tomaschitz

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  1. Roman Tomaschitz
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Tomaschitz, R. Linear gravitational waves and electrodynamic formalism in cosmology. Int J Theor Phys 36, 955–977 (1997). https://doi.org/10.1007/BF02435795

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  • DOI: https://doi.org/10.1007/BF02435795

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