Detecting Bypassing Micro Black Holes

Abstract

Abstract Contemporarily, convincing evidence is lacking for the existence of micro black holes due to their small masses. In this paper, a specific situation is discussed in which a Schwarzschild micro black hole, with a mass of up to 1013 kg and hence the lifetime longer than the universe’s age flies towards the Earth with the typical speed of an asteroid, O (10 km/s). The analysis of the two-body problem shows that Earth’s surface will be tidally affected only if the initial configuration space, namely space of the impact parameter and initial velocity, satisfies a very strict relationship. Even if the micro black hole directly goes through the Earth core, its small mass restricts its accretion rate so much that its accreted mass is negligible. We also consider the possibility of detecting the black hole optically by its optical distortion. Analysis of the size of its Einstein ring indicates that one would need accurate instruments to detect such an effect. Finally, we analyze the emission spectrum of the micro black hole by assuming the validity of the Hawking radiation and conclude that its unique energy spectrum might be detected and used as evidence of a bypassing micro black hole.