Waves in the Witten Bubble of Nothing and the Hawking Wormhole

摘要: We investigate the propagation of scalar waves in Witten space-time called "bubble nothing" and its remarkable sub-manifold, Lorentzian Hawking wormhole. Due to global hyperbolicity, Cauchy problem is well-posed functional framework associated with energy. perform a complete spectral analysis that allows get an explicit form solutions terms special functions. If effective mass non zero, profile asymptotically almost periodic time. In contrast, massless case dispersive. develop scattering theory, classical as well quantum. The quantized operator leaves invariant Fock vacuum: there no creation particles. resonances can be defined they are purely imaginary.