Coelho, Flávio S.; Herdeiro, Carlos; Rebelo, Carmen; Sampaio, Marco O. P. Radiation from a D-dimensional collision of shock waves: A summary of the first order results. (English) Zbl 1308.83084 García-Parrado, Alfonso (ed.) et al., Progress in mathematical relativity, gravitation and cosmology. Proceedings of the Spanish relativity meeting ERE2012, University of Minho, Guimarães, Portugal, September 3–7, 2012. Berlin: Springer (ISBN 978-3-642-40156-5/hbk; 978-3-642-40157-2/ebook). Springer Proceedings in Mathematics & Statistics 60, 189-192 (2014). Summary: We describe how to set up a perturbative framework to compute the metric in the future of a D-dimensional collision of two high speed black holes, by superimposing two equal Aichelburg-Sexl shock waves traveling, head-on, in opposite directions. We then estimate the radiation emitted in the collision using a D-dimensional generalisation of the Landau-Lifschitz pseudo-tensor – workable in a first order approach – and compute the percentage of the initial centre of mass energy emitted as gravitational waves. We shall see that our first order results are always within the bound obtained from apparent horizons computations.For the entire collection see [Zbl 1278.83001]. Cited in 1 Document MSC: 83C57 Black holes 83C10 Equations of motion in general relativity and gravitational theory 83E15 Kaluza-Klein and other higher-dimensional theories 83C75 Space-time singularities, cosmic censorship, etc. 83C35 Gravitational waves Keywords:shock waves; black holes collision PDFBibTeX XMLCite \textit{F. S. Coelho} et al., Springer Proc. Math. Stat. 60, 189--192 (2014; Zbl 1308.83084) Full Text: DOI