Quasi-Normal Modes of Brane-Localised Standard Model Fields

TL;DR

This paper analyzes the quasi-normal modes of Standard Model fields localized on a brane near various D-dimensional black holes, deriving analytical formulas and examining how extra dimensions influence damping and spectra.

Contribution

It provides a comprehensive study of the quasi-normal spectra for brane-localized fields across multiple black hole backgrounds, including analytical expressions in key limits.

Findings

Increased extra dimensions lead to faster damping of brane fields.

Field localization on the brane affects the quasi-normal spectrum.

Analytical formulas are derived for large multipole, extremal, and small horizon limits.

Abstract

We present here a detailed study of the quasi-normal spectrum of brane-localised Standard Model fields in the vicinity of D-dimensional black-holes. A variety of such backgrounds (Schwarzschild, Reissner-Nordstrom and Schwarzszchild-(Anti) de Sitter) are investigated. The dependence of the quasi-normal spectra on the dimensionality D, spin of the field s, and multipole number l is analyzed. Analytical formulae are obtained for a number of limiting cases: in the limit of large multipole number for Schwarzschild, Schwarzschild-de Sitter and Reissner-Nordstrom black holes, in the extremal limit of the Schwarzschild-de Sitter black hole, and in the limit of small horizon radius in the case of Schwarzschild-Anti de Sitter black holes. We show that an increase in the number of hidden, extra dimensions results in the faster damping of all fields living on the brane, and that the localization of fields on a brane affects the QN spectrum in a number of additional ways, both direct and indirect.