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NR/HEP: roadmap for the future. (English) Zbl 1260.83001

Summary: Physic in curved spacetime describes a multitude of phenomena, ranging from astrophysics to high-energy physics (HEP). The last few years have witnessed further progress on several fronts, including the accurate numerical evolution of the gravitational field equations, which now allows highly nonlinear penomena to be tamed. Numerical relativity simulations, originally developed to understand strong-field astrophysical processes, could prove extremely useful to understand HEP processes such as trans-Planckian scattering and gauge-gravity dualities. We present a concise and comprehensive overview of the state-of-the-art and important open problems in the field(s), along with a roadmap for the next years.

MSC:

83-02 Research exposition (monographs, survey articles) pertaining to relativity and gravitational theory
83-08 Computational methods for problems pertaining to relativity and gravitational theory
83C57 Black holes
83E15 Kaluza-Klein and other higher-dimensional theories
83B05 Observational and experimental questions in relativity and gravitational theory
83C25 Approximation procedures, weak fields in general relativity and gravitational theory
85A25 Radiative transfer in astronomy and astrophysics
81T20 Quantum field theory on curved space or space-time backgrounds
83D05 Relativistic gravitational theories other than Einstein’s, including asymmetric field theories
81T40 Two-dimensional field theories, conformal field theories, etc. in quantum mechanics

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