Gravitational Capture Cross-Section of Particles by Schwarzschild-Tangherlini Black Holes

Abstract

We study the capture cross-section of massless (photon) and massive test particles by the Schwarzschild–Tangherlini black hole, which is a solution of pure general relativity in higher dimensional spacetime with R×SD−2 topology. It is shown that an extra dimension weakens the gravitational attraction of a black hole, and consequently, radii of all the characteristic circular orbits, such as the radius of a photonsphere decrease in the higher dimensions. Furthermore, it is shown that in higher dimensions, there are no stable and bounded circular orbits. The critical impact parameters and capture cross-sections of photons and massive particles are calculated for several higher dimensions and it is shown that they also decrease with increasing dimension. Moreover, we calculate the capture cross-section of relativistic and non-relativistic test particles in the higher dimensions.

Charged Particles Capture Cross-section by a Weakly Charged Schwarzschild Black Hole

“…In the context of higherdimensional black holes, studies have focused on calculating photon critical impact parameters for Schwarzschild-Tangherlini black holes (Connell & Frolov 2008;Tsukamoto et al 2014;Singh & Ghosh 2018;Bugden 2020). The capture crosssection for massive particles was determined in Ahmedov et al (2021). Additionally, research extends to particle capture in Myers-Perry rotating spacetime which describes rotating black holes in five-dimensions (Gooding & Frolov 2008).…”