Abstract
The equation of motion written down using a metric obtained from the Kerr metric allows us to get both the deflection angle of light ray bending by the gravitational field of the Sun and its corresponding time delay. We reproduce the experimental data of Epstein-Shapiro and also it is in accordance with the theoretical results obtained by Brumberget al. (1990) using another approach to this problem.
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References
Allen, C.W.: 1973,Astrophysical Quantities, The Athlone Press, University of London.
Boyer, R.H. and Lindquist, R.: 1967,J. Math. Phys. 8, 265–281.
Brumberg, V.A.: 1991,Essential Relativistic Celestical Mechanics, Adam Hilger Bristol.
Brumberg, V.A., Klioner, S.A. and Kopejkin, S.M.: 1990, J.H. Lieske and V. Abalalakin (eds.),Inertial Coordinate System on the Sky, IAU Symposium, Kluwer Academic Publishers, Dordrecht.
Carter, B.: 1968,Phys. Rev. 174, 1559–1571.
Cohen, J.M.: 1968,J. Math. Phys. 9, 905–906.
Epstein, R. and Shapiro, I.I.: 1980,Phys. Rev. D 22, 2947–2949.
Fish, F.F.: 1967,Icarus 7, 251–256.
Frutos, F.: 1991, M.Sc. Thesis Universidad de Costa Rica San José, Costa Rica.
Hearn, A.C.: 1987,REDUCE: User's Manual, Rand Publication CP78.
IAU: 1976,Proc. of the Sixteenth General Assembly XVIB, D. Reidel Publ. Co., Dordrecht.
Hill, H.J., Bos, R.J. and Goode, P.R.: 1982,Phys. Rev. Lett. 49, 1794.
Kerr, R.P.: 1963,Phys. Rev. Lett. 11, 237–238.
Klioner, S.A.: 1991,Sov. Astron. 35, 523–530.
Lang, K.R.: 1980,Astrophysical Formulae, second edition, Springer, Heidelberg.
Lense, J. and Thirring, H.: 1918,Physik. Zeitschr. 19, 156–163.
Misner, C.M. and Thorne, K.S. and Wheeler, J.A.: 1973,Gravitation, Freeman, San Francisco.
Newman, E.T.: 1965,J. Math. Phys. 6, 917–919.
Newman, E.T. and Janis, A.I.: 1965,J. Math. Phys. 6, 915–917.
Richter, G.W. and Matzner, R.A.: 1982,Phys. Rev. D 26, 6.
Richter, G.W. and Matzner, R.A.: 1983,Phys. Rev. D 28, 12.
Soffel, M.H.: 1985,Astrophys. Space Sci. 110, 189–196.
Soffel, M.H.: 1989,Relativistic Astrometry, Celestial Mechanics and Geodesie, Springer, Heidelberg.
Soffel, M.H.: 1990,Lectures on Post-Newtonian Theory, Ed. Universidad de Costa Rica, San José.
Weinberg, S.: 1972,Gravitation and Cosmology, Wiley and Sons, New York.
Will, C.M.: 1974, in: B.Bertotti (ed.),Proc. Course 56 of the International School of Physics ‘Enrico Fermi’, Academic Press, New York.
Will, C.M.: 1981,Theory and Experiment in Gravitational Physics, Cambridge University Press, Cambridge.
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Páez, J., Frutos, F. Astrometry in the Kerr field inPPN approximation. Astrophys Space Sci 214, 71–87 (1994). https://doi.org/10.1007/BF00982325
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DOI: https://doi.org/10.1007/BF00982325