Emission of Massive Scalar Fields by a Higher-Dimensional Rotating Black-Hole

TL;DR

This paper analyzes the emission of massive scalar fields by higher-dimensional rotating black holes, providing analytic and numerical results for absorption probabilities and Hawking radiation spectra, highlighting the impact of field mass on energy distribution.

Contribution

It offers the first comprehensive analytic and numerical analysis of massive scalar emission from higher-dimensional rotating black holes, including bulk and brane channels.

Findings

Absorption probabilities agree well between analytic and numerical methods in low/intermediate energy regimes.

Massive fields increase the bulk-to-brane energy ratio up to 33%.

Brane emission remains dominant despite increased bulk emission with field mass.

Abstract

We perform a comprehensive study of the emission of massive scalar fields by a higher-dimensional, simply rotating black hole both in the bulk and on the brane. We derive approximate, analytic results as well as exact numerical ones for the absorption probability, and demonstrate that the two sets agree very well in the low and intermediate-energy regime for scalar fields with mass m_\Phi < 1 TeV in the bulk and m_\Phi < 0.5 TeV on the brane. The numerical values of the absorption probability are then used to derive the Hawking radiation power emission spectra in terms of the number of extra dimensions, angular-momentum of the black hole and mass of the emitted field. We compute the total emissivities in the bulk and on the brane, and demonstrate that, although the brane channel remains the dominant one, the bulk-over-brane energy ratio is considerably increased (up to 33%) when the mass of the emitted field is taken into account.