Hopfion solutions in gravity and a null fluid/gravity conjecture

2018/12/20 by Daniel W. F. Alves, Horatiu Nastase, Alves, Daniel W. F. +1
Physics and Astronomy · #FOS: Physical sciences #Fluid Dynamics (physics.flu-dyn) #General Relativity and Quantum Cosmology (gr-qc) #High Energy Physics - Theory (hep-th) #gr-qc #hep-th #physics.flu-dyn

paper · pdf · doi:10.48550/arxiv.1812.08630

18 pages, no figures

arxiv created 2018/12/20 · arxiv updated 2018/12/21

Abstract

We conjecture an extension of the fluid/gravity correspondence to the null pressureless fluid case via gravitational shockwave solutions, and use it to propose an embedding of the fluid Hopfion in gravity. A nonlinear gravitational "helicity" is also proposed, analogous with the helicity of electromagnetism and fluid dynamics.

Related

• A note on gravity and fluid dynamic correspondence on a null hypersurface
• Gravitational Hopfions
• Exact solutions for null fluid collapse in higher dimensions
• The fluid/gravity correspondence: Lectures notes from the 2008 Summer School on Particles, Fields, and Strings
• Spherically Symmetric, Static Solutions in Presence of Matter-Curvature Coupling