2020/06/02 by Jakobsen, Gustav Uhre · 3 citations
#FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #High Energy Physics - Theory (hep-th)
paper · doi:10.48550/arxiv.2006.01734
We present a general framework with which the Schwarzschild-Tangherlini metric of a point particle in arbitrary dimensions can be derived from a scattering amplitude to all orders in the gravitational constant, GN, in covariant gauge (i.e. Rξ-gauge) with a generalized de Donder-type gauge function, Gσ. The metric is independent of the covariant gauge parameter ξ and obeys the classical gauge condition Gσ=0. We compute the metric with the generalized gauge choice explicitly to second order in GN where gravitational self-interactions become important and these results verify the general framework to one-loop order. Interestingly, after generalizing to arbitrary dimension, a logarithmic dependence on the radial coordinate appears in space-time dimension D=5.