A Determination of the Hubble Parameter with the Gravitational Lens System PG1115+080.

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  • Determination of the Hubble Parameter with the Gravitational Lens System PG1115 080

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We examine the lens model with the quadruple gravitational lens system PG1115+080 to estimate the Hubble parameter H0, paying particular attention to the dependence of H0 on the density profile. The lens models we considered are the tilted plummer elliptical potential for the main lens with two choices of the potential for an associated compact group of galaxies. Using the measured time delays, the best-fit values for the Hubble parameter H0 are 46.9+7.1-6.2 [km/s/Mpc] and 50.3+7.6-6.6 [km/s/Mpc] for the two models, respectively. The errors are mainly due to errors in the observed time delays. However, a wide range of the values of H0, approximately 25 to 70 [km/s/Mpc], is statistically acceptable for a reasonable range of the power law index of the density distribution for both models.

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