Routing (electronic design automation)

Quantum mechanics

Theoretical physics

Massless particle

Schwarzschild radius

Gravitation

Mathematical physics

Particle physics

Scattering length

Scattering

Absorption (acoustics)

Scalar field

Computer science

Computer network

Cross section (physics)

Routing protocol

Physics

Scalar (mathematics)

Mathematics

Optics

Quantum electrodynamics

Noncommutative geometry

Absorption cross section

Link-state routing protocol

Schwarzschild metric

Geometry

Black hole (networking)

General relativity

Physics Letters B

In this paper we focus on the partial wave method with the aim of exploring the scattering of massless scalar waves due to the noncommutative Schwarzschild black hole via Lorentzian smeared mass distribution. We determine the phase shift analytically in low-frequency limit and we show that the scattering and absorption cross section is modified. Specially, we show that in the low-frequency limit the scattering/absorption cross section has its value decreased when we increase the value of the non-commutativity parameter. In addition, we have confirmed this result by solving the problem numerically for arbitrary frequencies. Such modifications found for the scattering and absorption cross section present similarities with the Reissner-Nordström black hole.

Absorption and scattering of a noncommutative black hole