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Possible test for Λ with gravitational lenses

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Gravitational Lenses

Part of the book series: Lecture Notes in Physics ((LNP,volume 406))

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Abstract

We study the effect of the cosmological constant on the statistical properties of gravitational lensing. It is shown that the cosmological constant, if it dominates over the mass density, increases the lensing optical depth greatly, and its effect is much larger than the uncertainty arising different choice of the distance formula and statistical formulations. A realistic prediction is made for the lensing frequency talking account of various selection effects for two quasar samples and a constraint on Λ is obtained.

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References

  • Alcock,C. and Anderson,N. (1986): Astrophys.J. 302 43

    Google Scholar 

  • Blandford,R.D., and Kochanek, C.S. (1987): in “Dark Matter in the Universe”, 4th Jerusalem Winter School 1986–1987, ed. J.N. Bahcall, T. Piran and S. Weinberg (Singapore: World Scientific), pp. 133

    Google Scholar 

  • Boyle,B.J., Fong,R., Shanks,T., and Peterson,B.A. (1990): Mon. Not. Roy. Astr. Soc. 235 935

    Google Scholar 

  • Dyer,C.C., and Roeder,R.C. (1972): Astrophys.J. 267 L115

    Google Scholar 

  • Ehlers,J., and Schneider,P. (1986): Astr. Astrophys. 168 57

    Google Scholar 

  • Fukugida,M., Futamase,T., and Kasai, M. (1990a): Mon. Not. Roy. Astr. Soc. 246 24

    Google Scholar 

  • Fukugida,M., Takahara,F., Yamashita,K. and Yoshii,Y. (1990b): Astrophys.J. 361 L1.

    Google Scholar 

  • Fukugida,M., Futamase,T., Kasai,M., and Turner,E.L. (1991a) Princeton Observatory Preprints POP-422

    Google Scholar 

  • Fukugida,M., and Turner,E.L. (1991b): Mon. Not. Roy. Astr. Soc. 253 99

    Google Scholar 

  • Fukugida,M. et al. (1991c): Astrophys.J. 376 in press.

    Google Scholar 

  • Futamase,T. (1988): Phys. Rev. Lett. 61 2175

    Google Scholar 

  • Futamase,T., and Sasaki,M. (1989): Phys. Rev. D40 2502

    Google Scholar 

  • Gott III,J.E., Park,M.G., and Lee,H.M. (1989): Astrophys.J. 338 1

    Google Scholar 

  • Hewitt,A., and Burbidge,G. (1987): Astrophys.J. Supp. 63 1

    Google Scholar 

  • Jacoby,G.H., Ciardullo,R., and Ford, H.C. (1990): Astrophys.J. 356 L1

    Google Scholar 

  • Paczynski,B., and Gorski, K. (1981): Astrophys.J. 248 L101.

    Google Scholar 

  • Press,W.H., and Gunn,J.E. (1973): Astrophys.J. 185 397

    Google Scholar 

  • Refsdal,S. (1964): Mon. Not. Roy. Astr. Soc. 128 295

    Google Scholar 

  • Turner,E.L. (1990): Astrophys.J. 365 L43

    Google Scholar 

  • Turner,E.L., Ostriker,J.P., and Gott III,J.R. (1984): Astrophys.J. 284 1

    Google Scholar 

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Rainer Kayser Thomas Schramm Lars Nieser

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© 1992 Springer-Verlag

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Futamase, T. (1992). Possible test for Λ with gravitational lenses. In: Kayser, R., Schramm, T., Nieser, L. (eds) Gravitational Lenses. Lecture Notes in Physics, vol 406. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-55797-0_121

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  • DOI: https://doi.org/10.1007/3-540-55797-0_121

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-55797-5

  • Online ISBN: 978-3-540-47286-5

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