Kaluza-Klein and Gauss-Bonnet cosmic strings

Abstract

We make a systematic investigation of stationary cylindrically symmetric solutions to the five-dimensional Einstein and Einstein-Gauss-Bonnet equations. Apart from the five-dimensional neutral cosmic string metric, we find two new exact solutions which qualify as cosmic strings, one corresponding to an electrically charged cosmic string, the other to an extended superconducting cosmic string surrounding a charged core. In both cases, test particles are deflected away from the singular line source. We extend both kinds of solutions to exact multi-cosmic string solutions.

26 pages, LaTex, no figures

References in corpus (3)

• Pair Creation of Dilaton Black Holes
• The Decay of Magnetic Fields in Kaluza-Klein Theory
• Hollow cosmic string: the general-relativistic hollow cylinder

Cited by in corpus (16)

• Klein-Gordon Oscillator in Kaluza-Klein Theory
• A Type of Levi-Civita's Solution in Modified Gauss-Bonnet Gravity
• A note on constant curvature solutions in cylindrically symmetric metric $f(R)$ Gravity
• The generalized Klein-Gordon oscillator in the background of cosmic string space-time with a linear potential in the Kaluza-Klein theory
• Cosmic strings in $f\left(R,L_m\right)$ gravity
• Feshbach-Villars oscillator (FVO) in Kaluza-Klein Theory (KKT)
• Linear confinement of generalized KG-oscillator with a uniform magnetic field in Kaluza-Klein theory and Aharonov-Bohm effect
• Generalized Weyl solutions in d=5 Einstein-Gauss-Bonnet theory: the static black ring
• Kaluza-Klein Reduction of a Quadratic Curvature Model
• Spin-$0$ scalar particle interacts with scalar potential in the presence of magnetic field and quantum flux under the effects of KKT in $5D$ cosmic string space-time
• Effects of Kaluza-Klein theory and potential on a generalized Klein-Gordon oscillator in the cosmic string space-time
• Higher Dimensional Cylindrical or Kasner Type Electrovacuum Solutions
• Developed Adomian method for quadratic Kaluza-Klein relativity
• Quadratic superconducting cosmic strings revisited
• Selfdual backgrounds in N=2 five-dimensional Chern-Simons Supergravity
• Fermions with Electric Dipole Moment in curved spacetime