Bicharacteristics and Fourier integral operators in Kasner spacetime

DOI10.1142/S0219887815500607zbMath1326.35380arXiv1410.3971WikidataQ57514511 ScholiaQ57514511MaRDI QIDQ5261034

E. Di Grezia, Emmanuele Battista, Giampiero Esposito

Publication date: 1 July 2015

Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1410.3971

zbMATH Keywords

Cauchy problemparametrixbicharacteristicsEikonal equationErmakov-Pinney equationKasner spacetime

Mathematics Subject Classification ID

PDEs in connection with relativity and gravitational theory (35Q75) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) Initial value problems for second-order hyperbolic equations (35L15) Fourier integral operators applied to PDEs (35S30) PDEs on manifolds (35R01)

Related Items (4)

Computation of the general relativistic perihelion precession and of light deflection via the Laplace-Adomian decomposition method ⋮ The mode solution of the wave equation in Kasner spacetimes and redshift ⋮ General relativistic fall on a thick-plate ⋮ New solutions of the Ermakov-Pinney equation in curved space-time

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