A Model of BPS Black Holes in a Discrete Space
Nahomi Kan (Gifu National College of Technology), Koichiro Kobayashi, and Kiyoshi Shiraishi (Yamaguchi University)
TL;DR
This paper models BPS black holes in a discretized extra dimension, analyzing scalar field scattering to distinguish bulk and brane fields at high momentum transfer.
Contribution
It introduces a discretized geometric model for BPS black holes and studies scalar scattering to differentiate bulk and brane fields.
Findings
Bulk and brane scalar fields exhibit distinguishable scattering at high momentum transfer.
Discretization of the harmonic equation effectively models the black hole geometry.
Scattering amplitudes reveal observable differences in the discretized black hole setup.
Abstract
We examine a model of BPS black holes lying on a discrete extra space. The geometry is obtained from the discretization of the harmonic equation. We study the scattering amplitudes of two types of scalar fields, which correspond to fields in a bulk and on a brane. We conclude that the two types of scattering can be distinguished in the region of large transfer momentum.
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Taxonomy
TopicsBlack Holes and Theoretical Physics · Electromagnetic Simulation and Numerical Methods · Numerical methods for differential equations