Twistor theory of higher dimensional black holes: I. Theory
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Publication:4928824
DOI10.1088/0264-9381/30/9/095001zbMATH Open1269.83049arXiv1303.0850OpenAlexW3104140530MaRDI QIDQ4928824
Publication date: 18 June 2013
Published in: Classical and Quantum Gravity (Search for Journal in Brave)
Abstract: The correspondence between stationary, axisymmetric, asymptotically flat space-times and bundles over a reduced twistor space has been established in four dimensions. The main impediment for an application of this correspondence to examples in higher dimensions has been the lack of a higher-dimensional equivalent of the Ernst potential. This article will propose such a generalized Ernst potential, point out where the rod structure of the space-time can be found in the twistor picture and thereby provide a procedure for generating solutions to the Einstein equations in higher dimensions from the rod structure and other asymptotic data. An important result for the study of five-dimensional examples will be the theorem which relates the patching matrices on the outer semi-infinite rods.
Full work available at URL: https://arxiv.org/abs/1303.0850
Black holes (83C57) Applications of differential geometry to physics (53Z05) Kaluza-Klein and other higher-dimensional theories (83E15) Spinor and twistor methods in general relativity and gravitational theory; Newman-Penrose formalism (83C60)
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