Testing Gravity with GLAST: GRBs Lensed by Primordial Black Holes

Mathematics – Probability

Scientific paper

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Scientific paper

In the Randall-Sundrum model of branework gravity, very low mass (<10-18 Msun) primordial black holes could persist to the present day. Keeton & Petters have calculated the gravitational lensing effects of such primordial braneworld black holes. Although the direct lensing effects are too small to be observed, the time delay between images produces interference fringes in the energy spectrum at wavelengths which will be accessible to GLAST in gamma ray bursts. This phenomenon is dubbed "attolensing." Assuming such primordial black holes comprise some fraction of the dark matter, we calculate the probability of observing attolensing of a GRB. The most significant contributions to the probability come from black holes outside of the solar system but within the Galaxy; the attolensing probability is on the same order as that of microlensing. We also simulate GLAST observations of attolensed GRBs to demonstrate with what confidence GLAST would be able to detect such an event.

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