Craig J. Copi, Klaountia Pasmatsiou, Glenn D. Starkman

In a generic spacetime a massless field propagates not just on the surface of the forward lightcone of a source, but in its interior. This inside-the-lightcone "tail radiation" is often described as having "scattered" off the spacetime curvature. In this work, we study the propagation of such tail radiation for a compact, static, spherically symmetric weak-field (i.e. low density) mass distribution that is well off the line-of-sight (LOS) between a source and an observer, and that is coupled to the radiation only gravitationally. For such perturbers, there are four distinct epochs in the observed radiation: the light-cone piece; the subsequent early-time tail -- ending at the first time that a signal moving at the speed of light could travel from the sourc to a point in the perturber thence to the observer; the subsequent middle-time tail; and the late-time tail, beginning at the last time that a signal could make such a journey. For massless scalar and vector (eg. electromagnetic radiation), we revisit the previously studied early and late-time tail, and perform the first full examination of the middle-time tail. Studying shorter wavelengths and generic perturbers well off the LOS, we find that the late-time tail carries a small fraction of the energy received by the observer; however, the total middle-time tail contains contains much more energy. We also note that whereas the middle-time tail appears to the observer to emanate from the perturber -- as one might expect for radiation "scattered" from the gravitational perturbation -- the late-time tail appears to come back from the source. We speculate on the potential utility of this middle-time tail for detecting or probing a wide variety of perturbations to the spacetime geometry including dark matter candidates and dark matter halos.

Z. Brown, G. Mishtaku, R. Demina, Y. Liu, C. Popik

The cosmic structure formed from Baryon Acoustic Oscillations (BAO) in the early universe is imprinted in the galaxy distribution observable in large scale surveys, and is used as a standard ruler in contemporary cosmology. BAO are typically detected as a preferential length scale in two point statistics, which gives little information about the location of BAO structures in real space. The aim of the algorithm described in this paper is to find probable centers of BAO in the cosmic matter distribution. The algorithm convolves the three dimensional distribution of matter density with a spherical shell kernel of variable radius placed at different locations. The locations that correspond to the highest values of the convolution correspond to the probable centers of BAO. This method is realized in an open-source, computationally efficient algorithm. We describe the algorithm and present the results of applying it to the SDSS DR9 CMASS survey and associated mock catalogs. A detailed performance study demonstrates the algorithm's ability to locate BAO centers, and in doing so presents a novel detection of the BAO scale in galaxy surveys.