Gravitational Lensing Statistics of Amplified Supernovae
Abstract
Amplification statistics of gravitationally lensed supernovae can provide a valuable probe of the lensing matter in the universe. A general probability distribution for amplification by compact objects is derived which allows calculation of the lensed fraction of supernovae at or greater than an amplification A and at or less than an apparent magnitude m_i_. Comparison of the computed fractions with future results from ongoing supernova searches can lead to determination of the mass density ({OMEGA}_L_) of compact dark matter components with masses >~10^3^ M_sun_, while the timedependent amplification (and polarization) of the expanding supernovae constrain the individual masses. Type II supernovae are found to give the largest fraction (<~0.05 {OMEGA}_L_) for deep surveys, and the optimum fluxlimited search is found to be at approximately 23d magnitude, if evolution of the supernova rate is neglected.
 Publication:

The Astrophysical Journal
 Pub Date:
 January 1988
 DOI:
 10.1086/165937
 Bibcode:
 1988ApJ...324..786L
 Keywords:

 Dark Matter;
 Gravitational Lenses;
 Supernovae;
 Amplification;
 Cosmology;
 Magnitude;
 Quasars;
 Statistical Analysis;
 Astrophysics;
 GRAVITATIONAL LENSES;
 STARS: SUPERNOVAE