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We consider the radiation emitted in a collision of shock waves, in D-dimensional General Relativity (GR), and describe a remarkably simple pattern, hinting at a more fundamental structure, unveiled by the introduction of the parameter D.
We present a higher order generalisation of the perturbative method to find the metric after the collision of two Aichelburg-Sexl gravitational shock waves in D-dimensions. A central challenge is to extract a higher order estimate for the inelasticity. We present an adaptation of the Bondi mass loss formula in D-dimensions, which allows us to obtain an expression valid non-perturbatively, for axially symmetric asymptotically flat spaces.
We report our recent work on computing Hawking radiation of a Proca field in D-dimensional Schwarzschild black hole. Since the mass term introduces a coupling between two physical degrees of freedom of the field, we construct a numerical strategy to solve the coupled system numerically, and define the transmission factor from an S matrix. Then the transmission factors are used to obtain the Hawking fluxes in this channel.