Teukolsky-like equations with various spins in spherically symmetric spacetime

TL;DR

This paper derives unified Teukolsky-like wave equations for various spins in spherically symmetric spacetimes, addressing gauge issues in gravitational-wave equations and providing a comprehensive framework.

Contribution

It presents a unified formulation of Teukolsky-like equations for arbitrary spins in spherically symmetric backgrounds, including gauge dependence analysis.

Findings

Unified master equations for different spins derived

Radial equations formulated for general spins

Discussion on gauge dependence in gravitational-wave equations

Abstract

We study the wave equations with various spins on the background of the general spherically symmetric spacetime. We obtain the unified expression of the Teukolsky-like master equations and the corresponding radial equations with the general spins. We also discuss the gauge dependence in the gravitational-wave equations, which have appeared in the previous studies.