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}
}
  • Kouji Nakamura
  • Published 1 February 2021
  • Physics
  • Classical and Quantum Gravity
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… 
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