×

Aberration and the speed of gravity. (English) Zbl 0948.83023

Summary: The observed absence of gravitational aberration requires that ‘Newtonian’ gravity propagates at a speed \(c_g \gtrsim 2\times 10^{10}c\). By evaluating the gravitational effect of an accelerating mass, the author shows that aberration in general relativity is almost exactly canceled by velocity-dependent interactions, permitting \(c_g=c\). This cancellation is dictated by conservation laws and the quadrupole nature of gravitational radiation.

MSC:

83C40 Gravitational energy and conservation laws; groups of motions
83C10 Equations of motion in general relativity and gravitational theory
83D05 Relativistic gravitational theories other than Einstein’s, including asymmetric field theories

References:

[1] Van Flandern, T., Phys. Lett. A, 250, 1 (1998)
[2] Kinnesley, W., Phys. Rev., 186, 1335 (1969)
[3] Good, I. J., Am. J. Phys., 43, 640 (1975)
[4] A.P. Lightman, W.H. Press, R.H. Price, S.A. Teukolsky, Problem Book in Relativity and Gravitation, Princeton University Press, Princeton, 1975.; A.P. Lightman, W.H. Press, R.H. Price, S.A. Teukolsky, Problem Book in Relativity and Gravitation, Princeton University Press, Princeton, 1975. · Zbl 0339.53002
[5] P.S. Laplace, A Treatise in Celestial Mechanics, translated by N. Bowditch, Chelsea, New York, 1966, vol. IV, Book X, Chapter VII.; P.S. Laplace, A Treatise in Celestial Mechanics, translated by N. Bowditch, Chelsea, New York, 1966, vol. IV, Book X, Chapter VII. · JFM 11.0242.01
[6] Poincaré, H.; Acad, C. R., Sci. Paris, 140, 104 (1905)
[7] Poincaré, H., Rend. Circ. Matem. Palermo, 21, 129 (1906) · JFM 37.0886.01
[8] G.E. March, C. Nissim-Sabat, Phys. Lett. A 262 (1999) 27.; G.E. March, C. Nissim-Sabat, Phys. Lett. A 262 (1999) 27.
[9] R. Feynman, R.B. Leighton, M.L. Sands, The Feynman Lectures on Physics, Addison-Wesley, Redwood City, 1989, vol. II, Chapter 21.; R. Feynman, R.B. Leighton, M.L. Sands, The Feynman Lectures on Physics, Addison-Wesley, Redwood City, 1989, vol. II, Chapter 21. · Zbl 0131.38703
[10] J.D. Jackson, Classical Electrodynamics, Wiley, New York, 1975.; J.D. Jackson, Classical Electrodynamics, Wiley, New York, 1975. · Zbl 0997.78500
[11] Damour, T., Class. Quantum Grav., 12, 725 (1995)
[12] Brill, O. L.; Goodman, B., Am. J. Phys., 35, 832 (1967)
[13] E.M. Purcell, Electricity and Magnetism, MacGraw-Hill, New York, 1985.; E.M. Purcell, Electricity and Magnetism, MacGraw-Hill, New York, 1985.
[14] Bonnor, W. B., Class. Quantum Grav., 11, 2007 (1994)
[15] Van Flandern, T., Phys. Lett. A, 62, 261 (1999)
[16] M. Ibison, H.E. Puthoff, S.R. Little, preprint physics/9910050.; M. Ibison, H.E. Puthoff, S.R. Little, preprint physics/9910050.
[17] T. Damour, in: S.W. Hawking, W. Israel (Eds.), 300 Years of Gravitation, Cambridge University Press, Cambridge, 1987.; T. Damour, in: S.W. Hawking, W. Israel (Eds.), 300 Years of Gravitation, Cambridge University Press, Cambridge, 1987.
[18] Low, R. J., Class. Quantum Grav., 16, 543 (1999) · Zbl 0933.83005
[19] C.W. Misner, K.S. Thorne, J.A. Wheeler, Gravitation, W.H. Freeman, San Francisco, 1973, Section 36.1.; C.W. Misner, K.S. Thorne, J.A. Wheeler, Gravitation, W.H. Freeman, San Francisco, 1973, Section 36.1.
[20] Couch, W. E.; Newman, E. T., J. Math. Phys., 13, 929 (1972)
[21] Damour, T.; Esposito-Farèse, G., Class. Quantum Grav., 9, 2093 (1992) · Zbl 0780.53054
[22] Taylor, J. H., Rev. Mod. Phys., 66, 711 (1994)
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.