English

Hopfion solutions in gravity and a null fluid/gravity conjecture

High Energy Physics - Theory 2018-12-21 v1 General Relativity and Quantum Cosmology Fluid Dynamics

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.

Keywords

Cite

@article{arxiv.1812.08630,
  title  = {Hopfion solutions in gravity and a null fluid/gravity conjecture},
  author = {Daniel W. F. Alves and Horatiu Nastase},
  journal= {arXiv preprint arXiv:1812.08630},
  year   = {2018}
}

Comments

18 pages, no figures

R2 v1 2026-06-23T06:51:27.738Z