# Proposal of a gauge-invariant treatment of l = 0, 1-mode perturbations on Schwarzschild background spacetime

@article{Nakamura2021ProposalOA, title={Proposal of a gauge-invariant treatment of l = 0, 1-mode perturbations on Schwarzschild background spacetime}, author={Kouji Nakamura}, journal={Classical and Quantum Gravity}, year={2021}, volume={38} }

A gauge-invariant treatment of the monopole (l = 0) and dipole (l = 1) modes in linear perturbations of the Schwarzschild background spacetime is proposed. Through this gauge-invariant treatment, we derived the solutions to the linearized Einstein equation for these modes with a generic matter field. In the vacuum case, these solutions include the Kerr parameter perturbations in the l = 1 odd modes and the additional mass parameter perturbations of the Schwarzschild mass in the l = 0 even modes…

## One Citation

### Backreaction of mass and angular momentum accretion on black holes: General formulation of metric perturbations and application to the Blandford–Znajek process

- PhysicsProgress of Theoretical and Experimental Physics
- 2021

We study the metric backreaction of mass and angular momentum accretion on black holes. We first develop the formalism of monopole and dipole linear gravitational perturbations around Schwarzschild…

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