Asymptotic flatness in higher dimensions
Copyright policy )Asymptotic flatness in higher dimensions
We show that $(n+1)$-dimensional Myers-Perry metrics, $n\geq4$, have a conformal completion at spacelike infinity of $C^{n-3,1}$ differentiability class, and that the result is optimal in even spacetime dimensions. The associated asymptotic symmetries are presented.
- University of Cambridge United Kingdom
- University of California, Los Angeles United States
- University of Vienna Austria
SPATIAL INFINITY, Mathematics - Differential Geometry, NULL, FOS: Physical sciences, General Relativity and Quantum Cosmology (gr-qc), 101006 Differentialgeometrie, FIELDS, General Relativity and Quantum Cosmology, 103028 Theory of relativity, Applications of differential geometry to physics, 101006 Differential geometry, 103028 Relativitätstheorie, Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics, Differential Geometry (math.DG), Asymptotic procedures (radiation, news functions, \(\mathcal{H} \)-spaces, etc.) in general relativity and gravitational theory, FOS: Mathematics, Einstein's equations (general structure, canonical formalism, Cauchy problems), Applications of global differential geometry to the sciences
SPATIAL INFINITY, Mathematics - Differential Geometry, NULL, FOS: Physical sciences, General Relativity and Quantum Cosmology (gr-qc), 101006 Differentialgeometrie, FIELDS, General Relativity and Quantum Cosmology, 103028 Theory of relativity, Applications of differential geometry to physics, 101006 Differential geometry, 103028 Relativitätstheorie, Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics, Differential Geometry (math.DG), Asymptotic procedures (radiation, news functions, \(\mathcal{H} \)-spaces, etc.) in general relativity and gravitational theory, FOS: Mathematics, Einstein's equations (general structure, canonical formalism, Cauchy problems), Applications of global differential geometry to the sciences
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