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Perturbations of a Schwarzschild black hole. Notes on Zerilli's approach

General Relativity and Quantum Cosmology 2009-11-11 v1

Abstract

Modelling the free fall (and radiative phenomenology) of a massive particle, charged or not, in a static and spherically symmetric black hole is a classic, good relativistic dare that produced a remarkable series of papers, mainly in the seventies of the past century. Some formal topics about the mathematical machinery required to perform the task are unfortunately still not very clear; however, with the help of modern computer algebra techniques, some results can at least be tested and corrected.

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Cite

@article{arxiv.gr-qc/0603052,
  title  = {Perturbations of a Schwarzschild black hole. Notes on Zerilli's approach},
  author = {Gianluca Cruciani},
  journal= {arXiv preprint arXiv:gr-qc/0603052},
  year   = {2009}
}

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9 pages