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Gravitational Redshifts and the Mass-Radius Relation

Published online by Cambridge University Press:  12 April 2016

Gary Wegner*
Affiliation:
Department of Physics & Astronomy, Dartmouth College

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The gravitational redshift is one of Einstein’s three original tests of General Relativity and derives from time’s slowing near a massive body. For velocities well below c, this is represented with sufficient accuracy by:

As detailed by Will (1981), Schiff’s conjecture argues that the gravitational redshift actually tests the principle of equivalence rather than the gravitational field equations. For low redshifts, solar system tests give highest accuracy. LoPresto & Pierce (1986) have shown that the redshift at the Sun’s limb is good to about ±3%. Rocket experiments produce an accuracy of ±0.02% (Vessot et al. 1980), while for 40 Eri B the best white dwarf, the observed and predicted VRS agree to only about ±_5% (Wegner 1980).

Type
Research Article
Copyright
Copyright © Springer-Verlag 1989

References

Adams, W.S. 1925 Proc. Nat. Acad. Sci., 11, 382.Google Scholar
Anthony-Twarog, B.J. 1982, Ap. J., 255, 245.Google Scholar
Blinnikov, S.I. 1978, Astrophys. Space Sci., 59, 13.Google Scholar
Chandrasekhar, S. 1934, M. N. R. A. S., 95, 207.Google Scholar
Echardt, D.; Jekeli, C., Lazarewicz, A., Romaides, A. & Sands, R. 1987, Phys. Rev. Lett., 56, 3.Google Scholar
Eggen, O.J. & Greeňstein, J.L. 1965, Ap. J., 141, 83.Google Scholar
Gatewood, G.D. & Gatewood, C.V. 1978, Ap. J., 225, 191.Google Scholar
Grabowski, B., Madej, J., & Halenka, J. 1987, Ap. J., 313, 750.Google Scholar
Greenstein, J.L., Boksenberg, A.L., Carswell, R., & Shortridge, K. 1977, Ap. J., 212, 186.CrossRefGoogle Scholar
Greenstein, J.L., Oke, J.B., & Shipman, H.L. 1971, Ap. J., 169, 563.Google Scholar
Greenstein, J.L. & Trimble, V.L. 1967, Ap. J., 149, 283.Google Scholar
Hamada, T. & Salpeter, E.E. 1961, Ap. J., 134, 683.Google Scholar
Harrington, R.S., Christy, J.W., & Strand, K.Aa. 1981, A. J., 86, 909.Google Scholar
Holberg, J.B., Wesemael, F., Wegner, G., & Bruhweiler, F.C. 1985, Ap. J., 293, 294.CrossRefGoogle Scholar
Hut, P. 1981, Phys. Lett. B., 99B, 174.Google Scholar
Koester, D. 1987, Ap. J., 322, 852.Google Scholar
Koester, D. & Reimers, D. 1985, Astr. Ap., 153, 260.Google Scholar
Long, D.R. 1976, Nature, 260, 417.Google Scholar
LoPresto, J.C. & Pierce, K. 1986, Bull. Am. Astr. Soc., 18, 989.Google Scholar
Luyten, W.J. 1962, A Search for Faint Blue Stars XXXI. One Thousand Blue Stars in the Region of Praesepe, (Univ. of Minnesota: Minneapolis).Google Scholar
Luyten, W.J. 1969, Proper Motion Survey with the Forty-eight Inch Schmidt Telescope, XVII, Binaries with White Dwarf Components, (Univ. Minnesota: Minneapolis).Google Scholar
McMahan, R.K. 1988, Ap. J., in press.Google Scholar
Popper, D.M. 1954, Ap. J., 120, 316.Google Scholar
Romanishin, W. & Angel, J.R.P. 1980, Ap. J., 235, 992.Google Scholar
Sion, E.M. & Guiñan, E.F. 1985, Ap. J. (Letters), 265, L87.Google Scholar
Stubbs, C., Adelberger, E., Raab, F., Gundlach, J., Heckel, B., McMurray, K., Swanson, H., & Watanabe, R. 1987, Phys. Rev. Lett., 58, 1070.Google Scholar
Sugimoto, D. 1972, Prog. Theor. Phys., 48, 699.Google Scholar
Thieberger, P. 1987, Phys. Rev. Lett., 58, 1066.Google Scholar
Thejll, P. & Shipman, H.L. 1986, P. A. S. P., 98, 922.CrossRefGoogle Scholar
Trimble, V.L. & Greenstein, J.L. 1972, Ap. J., 177, 441.Google Scholar
Vessot, R.F.C. et al. 1980, Phys Rev. Lett., 45, 2081.Google Scholar
Wegner, G. 1973, M. N. R. A. S., 165, 271.Google Scholar
Wegner, G. 1974, M. N. R. A. S., 166, 271.CrossRefGoogle Scholar
Wegner, G. 1978a, M. N. R. A. S., 182, 111.Google Scholar
Wegner, G. 1978b, M. N. R. A. S., 187, 17.Google Scholar
Wegner, G., 1979, A. J., 84, 650.Google Scholar
Wegner, G., 1980, A. J., 85, 1255.Google Scholar
Wegner, G. & Reid, I.N. 1987, in Proc. IAU Colloq. 95, The Second Conference on Faint Blue Stars, ed. Philip, A.G.D., Hayes, D.S., & Liebert, J.W., (L. Davis Press: Schenectady), p. 649. Google Scholar
Wegner, G., Reid, I.N.. & McMahan, R.K. 1988, These proceedings.Google Scholar
Will, C.M. 1981, Theory and Experimentation in Gravitational Physics, (Cambridge University Press: Cambridge), p. 38ff.Google Scholar