• DOI:10.1103/PhysRevD.74.044039
Corpus ID: 27213953

Second-and higher-order perturbations of a spherical spacetime

@article{Brizuela2006SecondandHP,
  title={Second-and higher-order perturbations of a spherical spacetime},
  author={David Brizuela and J. M. Mart{\'i}n-Garc{\'i}a and G. A. M. Marug'an},
  journal={Physical Review D},
  year={2006},
  volume={74},
  pages={044039}
}

David Brizuela, J. M. Martín-García, G. A. M. Marug'an

Published 2006

Physics

Physical Review D

The Gerlach and Sengupta (GS) formalism of coordinate-invariant, first-order, spherical and nonspherical perturbations around an arbitrary spherical spacetime is generalized to higher orders, focusing on second-order perturbation theory. The GS harmonics are generalized to an arbitrary number of indices on the unit sphere and a formula is given for their products. The formalism is optimized for its implementation in a computer-algebra system, something that becomes essential in practice given… CONTINUE READING

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