Gravitational waves in the black string braneworld

TL;DR

This paper investigates gravitational wave behavior in the black string braneworld model, deriving evolution equations, analyzing spherical radiation from orbiting bodies, and numerically computing waveforms for various orbital configurations.

Contribution

It provides a comprehensive derivation of gravitational perturbation equations in the black string braneworld and numerical solutions for waveforms from orbiting sources.

Findings

Derived equations governing gravitational perturbations with brane sources.

Numerically computed gravitational waveforms for different orbital parameters.

Analyzed the impact of the braneworld scenario on gravitational wave signals.

Abstract

We study gravitational waves in the black string Randall-Sundrum braneworld. We present a reasonably self-contained and complete derivation of the equations governing the evolution of gravitational perturbations in the presence of a brane localized source, and then specialize to the case of spherical radiation from a pointlike body in orbit around the black string. We solve for the resulting gravitational waveform numerically for a number of different orbital parameters.