# Formal Solutions of Any-Order Mass, Angular-Momentum, andDipole Perturbations on the Schwarzschild Background Spacetime

@article{Nakamura2021FormalSO, title={Formal Solutions of Any-Order Mass, Angular-Momentum, andDipole Perturbations on the Schwarzschild Background Spacetime}, author={Kouji Nakamura}, journal={Letters in High Energy Physics}, year={2021} }

Formal solutions of any-order mass, angular-momentum, dipole perturbations on the Schwarzschild background spacetime are derived in a gauge-invariant manner. Once we accept the proposal in [K. Nakamura, Class. Quantum Grav. 38 (2021), 145010.], we can extend the gauge-invariant linear perturbation theory on the Schwarzschild background spacetime including the monopole (l = 0) and dipole (l = 1) modes to any-order perturbations of the same background spacetime through the arguments in [K…

## 3 Citations

Gauge-invariant perturbation theory on the Schwarzschild background spacetime Part I : -- Formulation and odd-mode perturbations

- Physics
- 2021

This is the Part I paper of our series of papers on a gauge-invariant linear perturbation theory on the Schwarzschild background spacetime. We ﬁrst review our general framework of the gauge-invariant…

Gauge-invariant perturbation theory on the Schwarzschild background spacetime Part II: -- Even-mode perturbations

- Physics
- 2021

This is the Part II paper of our series of papers on a gauge-invariant perturbation theory on the Schwarzschild background spacetime. After reviewing our general framework of the gauge-invariant…

Gauge-invariant perturbation theory on the Schwarzschild background spacetime Part III: -- Realization of exact solutions

- Physics
- 2021

This is the Part III paper of our series of papers on a gauge-invariant perturbation theory on the Schwarzschild background spacetime. After reviewing our general framework of the gauge-invariant…

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