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arXiv · 2102.10650

Formal solutions of any-order mass, angular-momentum, dipole perturbations on the Schwarzschild background spacetime

Kouji Nakamura
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Abstract

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. {\bf 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. Nakamura, Class. Quantum Grav. {\bf 31} (2014), 135013.]. As a result of this resolution, we reached to a simple derivation of the above formal solutions of any order.

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Kouji Nakamura. 2021-02-21. Formal solutions of any-order mass, angular-momentum, dipole perturbations on the Schwarzschild background spacetime. https://doi.org/10.31526/lhep.2021.215

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