Teukolsky-like equations with various spins in spherically symmetric spacetime

Hiroaki Nakajima; Wenbin Lin; Ya Guo

Teukolsky-like equations with various spins in spherically symmetric spacetime

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arxiv 2309.04758 v2 pith:OU763EKE submitted 2023-09-09 gr-qc

Ya Guo , Hiroaki Nakajima , Wenbin Lin This is my paper · ORCID

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keywords equationsspinsgeneralspacetimesphericallysymmetricteukolsky-likevarious

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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.

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Teukolsky-like equations with various spins in a deformed Kerr spacetime
gr-qc 2024-12 conditional novelty 6.0 of 10

On a Kerr spacetime with an arbitrary radial deformation L(r), all massless spin fields satisfy one unified Teukolsky-like master equation that separates into a standard angular part and a deformed radial part.

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