Wave Propagation and Scattering for the Rs2 Brane Cosmology Model
نویسنده
چکیده
We study the wave equation for the gravitational fluctuations in the Randall-Sundrum brane cosmology model. We solve the global Cauchy problem and we establish that the solutions are the sum of a slowly decaying massless wave localized near the brane, and a superposition of massive dispersive waves. We compute the kernel of the truncated resolvent. We prove some L − L, L 2 − L ∞ decay estimates and global L Strichartz type inequalities. We develop the complete scattering theory : existence and asymptotic completness of the wave operators, computation of the scattering matrix, determination of the resonances on the logarithmic Riemann surface.
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