On the Riemann Function and Irregular Singular Points for Axisymmetric Black Hole Collisions at the Speed of Light

dc.creatorEsposito, Giampiero
dc.creatorStornaiolo, Cosimo
dc.date2002-03-26
dc.date.accessioned2026-07-07T03:26:45Z
dc.date.available2026-07-07T03:26:45Z
dc.descriptionThe news function providing some relevant information about angular distribution of gravitational radiation in axisymmetric black hole collisions at the speed of light had been evaluated in the literature by perturbation methods, after inverting second-order hyperbolic operators with variable coefficients in two independent variables. More recent work has related the appropriate Green function to the Riemann function for such a class of hyperbolic operators in two variables. The present paper obtains an improvement in the evaluation of the coefficients occurring in the second-order equation obeyed by the Riemann function, which might prove useful for numerical purposes. Eventually, we find under which conditions the original Green-function calculation reduces to finding solutions of an inhomogeneous second-order ordinary differential equation with a non-regular singular point.
dc.description13 pages, plain Tex
dc.identifierhttps://arxiv.org/abs/gr-qc/0203092
dc.identifierhttp://arxiv.org/abs/gr-qc/0203092
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/34172
dc.subjectGeneral Relativity and Quantum Cosmology
dc.titleOn the Riemann Function and Irregular Singular Points for Axisymmetric Black Hole Collisions at the Speed of Light
dc.typetext

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