Solitonic metrics and harmonic maps

DOI10.1007/s13324-018-0269-xzbMath1475.53052OpenAlexW2903063525MaRDI QIDQ2284973

Sorin Dragomir, Guilin Yang

Publication date: 15 January 2020

Published in: Analysis and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13324-018-0269-x

zbMATH Keywords

geodesic motionconvection equationrelativistic mechanics2-dimensional dilation-gravity theoryNewtonian velocitysolitonic gravitational fieldsolitonic metrics

Mathematics Subject Classification ID

Applications of differential geometry to physics (53Z05) General relativity (83C99) Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Differential geometric aspects of harmonic maps (53C43) Harmonic maps, etc. (58E20)

Cites Work

• Harmonic maps to spheres
• Axisymmetric stationary solutions as harmonic maps
• Finite type Lorentz harmonic maps and the method of Symes
• Constant curvature black hole and dual field theory
• The harmonic map ansatz in gravitational theories
• A note on the positive constant curvature space
• Applications of harmonic morphisms to gravity
• Spontaneous compactification induced by non-linear scalar dynamics, gauge fields and submersions
• Kaluza-Klein theory with scalar fields and generalised Hopf manifolds
• A Report on Harmonic Maps
• Black hole in three-dimensional spacetime
• The uniqueness theorem for rotating black hole solutions of self-gravitating harmonic mappings
• Holomorphic maps and Ernst equation
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