arXiv subjects

Ariel Goobar

Publications and source records attributed to Ariel Goobar.

111 records · Page 7Linked to original sources

arXiv2000

Lensing effects in an inhomogeneous universe

Recently, Holz & Wald have presented a new method for determining gravitational lensing effects on, e.g., supernova luminosity versus redshift measurements in inhomogeneous universes. In this paper, their method is generalized in several ways: First, the matter content is allowed to consist of several different types of fluids, possibly with non-vanishing pressure. Second, besides lensing by simple point masses and singular isothermal spheres, the more realistic halo dark matter distribution proposed by Navarro, Frenk & White (NFW), based on N-body simulation results, is treated. We discuss various aspects of the accuracy of the method, such as luminosity corrections, and statistics, for multiple images. We find in agreement with other recent work that a large sample of supernovae at large redshift could be used to extract gross features of the mass distribution of the lensing dark matter halos, such as the existence of a large number of point-like objects. The results for the isothermal sphere and the NFW model are, however, very similar if normalized to the observed luminosity distribution of galaxies. We give convenient analytical fitting formulas for our computed lensing probabilites as a function of magnification, for several redshifts.

astro-ph↗

arXiv1995

A Generalized $K$ correction for Type Ia Supernovae: Comparing R-band Photometry Beyond z=0.2 with B, V, and R-band Nearby Photometry

Photometric measurements show that as a group nearby type Ia supernovae follow similar lightcurves and reach similar peak magnitudes Thus, these supernovae can serve as standard candles or calibrated candles at cosmological distances. Magnitudes of local and distant supernovae, both in the same filter band, are compared using a $K$ correction to account for the different spectral regions incident on that filter. A generalized approach compares magnitudes in different bands for the nearby and distant supernova, bands that are selected to give sensitivity in corresponding regions of the redshifted and unredshifted spectra. Thus at a redshift of $z \approx 0.5$, local $B$ magnitudes are compared with distant $R$ magnitudes. We compute these generalized $K$ corrections over a range of redshifts and bandpass pairs and discuss their advantages over the traditional single-band $K$ correction. In particular, errors near maximum light can be kept below 0.05 mag out to at least $z=0.6$, whereas the traditional $K$ correction is difficult to use beyond $z > 0.2$.

astro-ph↗

arXiv1995

Feasibility of Measuring the Cosmological Constant Lambda and Mass Density Omega using Type Ia Supernovae

We explore the feasibility of resurrecting the apparent magnitude-redshift relation for a ``standard candle'' to measure the cosmological constant and mass density. We show that type Ia supernovae, if measured with 0.15 mag uncertainty out to a redshift of z=1, may provide a good standard candle or calibrated candle for this purpose. The recent discovery of probable type Ia supernovae in the redshift range z=0.3 to 0.5 (Perlmutter 1994a, and 1994b) indicates that the flux of optical photons from these events can be measured this accurately. The 7 distant supernovae discovered to date do not by themselves distinguish between different cosmological models, however the further discovery of about 50 type Ia supernovae at redshifts in the range $0.5 \leq z \leq 1.0 $ could strongly constrain the allowed range of these parameters. We estimate that the follow-up photometry necessary for this measurement would be on the order of 20 - 70 hours of time on a 10-meter class telescope at a site with good seeing.

astro-ph↗