# Melvin Magnetic Fluxtube/Cosmology Correspondence

@article{Kastor2015MelvinMF, title={Melvin Magnetic Fluxtube/Cosmology Correspondence}, author={David Kastor and Jennie Traschen}, journal={arXiv: High Energy Physics - Theory}, year={2015} }

We explore a correspondence between Melvin magnetic fluxtubes and anisotropic cosmological solutions, which we call `Melvin cosmologies'. The correspondence via analytic continuation provides useful information in both directions. Solution generating techniques known on the fluxtube side can also be used for generating cosmological backgrounds. Melvin cosmologies interpolate between different limiting Kasner behaviors at early and late times. This has an analogue on the fluxtube side between…

## 7 Citations

Spin precession in anisotropic cosmologies

- Physics
- 2015

We consider the precession of a Dirac particle spin in some anisotropic Bianchi universes. This effect is present already in the Bianchi-I universe. We discuss in some detail the geodesics and the…

F eb 2 02 2 Static and Dynamic

- Physics
- 2022

We briefly review the known properties of Melvin’s magnetic universe and study the propagation of test charged matter waves in this static spacetime. Moreover, the possible correspondence between the…

Cosmological magnetic field: The boost-symmetric case

- PhysicsPhysical Review D
- 2019

With the notable exception of black holes, Einstein equations of general relativity are notoriously difficult to solve for exact solutions that would describe an astrophysically relevant situation…

Construction of test Maxwell fields with scale symmetry

- Physics, Mathematics
- 2018

Geometrical symmetry in a spacetime can generate test solutions to the Maxwell equation. We demonstrate that the source-free Maxwell equation is satisfied by any generator of spacetime…

Geometry of AdS-Melvin spacetimes

- PhysicsClassical and Quantum Gravity
- 2020

We study asymptotically AdS generalizations of Melvin spacetimes, describing gravitationally bound tubes of magnetic flux. We find that narrow fluxtubes, carrying strong magnetic fields but little…

## References

SHOWING 1-10 OF 25 REFERENCES

Magnetic fields in an expanding universe

- Physics
- 2014

We find a solution to 4D Einstein?Maxwell theory coupled to a massless dilaton field, for all values of the dilaton coupling, describing a Melvin magnetic field in an expanding universe with ?stiff…

Global properties of Kaluza-Klein cosmologies.

- PhysicsPhysical review. D, Particles and fields
- 1987

The qualitative theory of dynamical systems is used to present an analysis of the phase space of Kaluza-Klein cosmological solutions with even-dimensional internal space, an arbitrary cosmological…

Pseudo-supersymmetry and the domain-wall/cosmology correspondence

- Physics
- 2006

The correspondence between domain-wall and cosmological solutions of gravity coupled to scalar fields is explained. Any domain-wall solutions that admit a Killing spinor are shown to correspond to a…

Hamilton-Jacobi method for Curved Domain Walls and Cosmologies

- Physics, Mathematics
- 2006

We use Hamiltonian methods to study curved domain walls and cosmologies. This leads naturally to first-order equations for all domain walls and cosmologies foliated by slices of maximal symmetry. For…

Higher dimensional cylindrical or Kasner type electrovacuum solutions

- Physics
- 2013

We consider a $$D$$D dimensional Kasner type diagonal spacetime where metric functions depend only on a single coordinate and electromagnetic field shares the symmetries of spacetime. These solutions…

Hidden supersymmetry of domain walls and cosmologies.

- Physics, MathematicsPhysical review letters
- 2006

We show that all domain-wall solutions of gravity coupled to scalar fields for which the world-volume geometry is Minkowski or anti-de Sitter admit Killing spinors, and satisfy corresponding…

Decay of magnetic fields in Kaluza-Klein theory.

- PhysicsPhysical review. D, Particles and fields
- 1995

It appears that fundamental fermions can eliminate the bubble decay of the magnetic field, while allowing the pair produciton of Kaluza-Klein monopoles.

Black holes in a magnetic universe

- Physics
- 1976

We present a general procedure for transforming asymptotically flat axially symmetric solutions of the Einstein–Maxwell equations into solutions resembling Melvin’s magnetic universe. Specific…