Gravitational Wave and Spiral Galaxy (Gravito Radiative Force)

  • Masataka Mizushima
Chapter

Abstract

Einstein[1] proposed a general relativistic wave equation, which reduces to
$$ \left( {{\nabla ^2} - {{\left( {{\partial \over {c\partial t}}} \right)}^2}} \right)\phi _i^j = {{16\pi G} \over {{c^4}}}T_i^j, $$
(1)
when we introduce gravitational potentials through
$$ {g_{00}} = 1 - {1 \over 2}({\phi _{00}} + {\phi _{11}} + {\phi _{22}} + {\phi _{33}}), $$
(2)
$$ {g_{11}} = 1 - {1 \over 2}({\phi _{00}} + {\phi _{11}} - {\phi _{22}} - {\phi _{33}}), $$
(3)
$$ {g_{22}} = - 1 - {1 \over 2}({\phi _{00}} - {\phi _{11}} + {\phi _{22}} - {\phi _{33}}), $$
(4)
$$ {g_{33}} = - 1 - {1 \over 2}({\phi _{00}} - {\phi _{11}} - {\phi _{22}} + {\phi _{33}}), $$
(5)
and
$$ {g_{01}} = {\phi _{01}},{g_{12}} = {\phi _{12}},etc., $$
(6)
and assume that
$$ {{\partial \phi _j^i} \over {\partial {x^i}}} = 0 $$
(7)
and that all quantities nonlinear in ø j i are negligible.

Keywords

Black Hole Gravitational Wave Gravitational Potential Circular Orbit Radiative Force 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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References

  1. [1]
    A. Einstein, Ann.Phys., 49, 769, 1916.MATHCrossRefGoogle Scholar
  2. [2]
    L. Landau and E. Lifshitz, ”The Classical Theory of Fields”, Addison-Wesley, Cambridge, MA, 1951.Google Scholar
  3. [3]
    H. Taylor and J.W. Weisberg, Astrophys. J. 345, 134, 1989.ADSCrossRefGoogle Scholar
  4. [4]
    M. Mizushima, Hadronic J, 17, 97, 1994.MATHGoogle Scholar
  5. [5]
    M. Mizushima, ” Verticity” of New Frontiers in Relativities, ed. L. Gill, Hadron- ic Press, Palm Harbor, FL, 1996, pp.171–271.Google Scholar
  6. [6]
    M. Mizushima, ”The Gravito-Radiative Force”, in the proceedings of the Con- ference of Geometry and its Applications in Technology, Aristotle University of Thessaloniki, Greece, June 1999.Google Scholar
  7. [7]
    M. Mizushima and R.W. Zimmerer, Hadronic J, 20, 163, 1997.Google Scholar
  8. [8]
    M. Mizushima, ”Detection of Gravitational Waves”, in the proceedings of the Third World Congress of Nonlinear Analysts, Catania, Italy, July 2000.Google Scholar
  9. M. Mizushima and R.W. Zimmerer, Canad.J.Phys. submitted.Google Scholar

Copyright information

© Springer Science+Business Media New York 2001

Authors and Affiliations

  • Masataka Mizushima
    • 1
  1. 1.Department of PhysicsUniversity of ColoradoBoulderUSA

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