Covariant Schwarzschild perturbations I: Initial value formulation for scalars of spin-weight -+ 2

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dc.creatorBurston, R. B.
dc.creatorLun, A. W. C.
dc.date2006-11-08
dc.date.accessioned2026-07-07T07:31:54Z
dc.date.available2026-07-07T07:31:54Z
dc.descriptionWe consider full perturbations to a covariantly defined Schwarzschild spacetime. By constructing complex quantities, we derive two decoupled, covariant and gauge-invariant, wave-like equations for spin-weighted scalars. These arise naturally from the Bianchi identities and comprise a covariant representation of the Bardeen-Press equations for scalars with spin-weight $\pm2$. Furthermore, the covariant and gauge-invariant 1+1+2 formalism is employed, and consequently, the physical interpretation of the energy-momentum perturbations is transparent. They are written explicitly in terms of the energy-momentum specified on spacelike three-slices. Ultimately, a Cauchy problem is constructed whereby, an initial three-slice may be perturbed by an energy-momentum source, which induces resultant gravitational fields.
dc.description17 pages. Submitted to Class. Quantum Grav
dc.identifierhttps://arxiv.org/abs/gr-qc/0611052
dc.identifierhttp://arxiv.org/abs/gr-qc/0611052
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/118923
dc.subjectGeneral Relativity and Quantum Cosmology
dc.titleCovariant Schwarzschild perturbations I: Initial value formulation for scalars of spin-weight -+ 2
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