Quadratic superconducting cosmic strings revisited
arXiv:0802.3263 · doi:10.1209/0295-5075/81/60003
Abstract
It has been shown that 5-dimensional general relativity action extended by appropriate quadratic terms admits a singular superconducting cosmic string solution. We search for cosmic strings endowed with similar and extended physical properties by directly integrating the non-linear matrix field equations thus avoiding the perturbative approach by which we constructed the above-mentioned \textsl{exact} solution. The most general superconducting cosmic string, subject to some constraints, will be derived and shown to be mathematically \textsl{unique} up to linear coordinate transformations mixing its Killing vectors. The most general solution, however, is not globally equivalent to the old one due to the existence of Killing vectors with closed orbits.
6 pages
References in corpus (18)
- Regular Black Hole in General Relativity Coupled to Nonlinear Electrodynamics
- String-inspired Gauss-Bonnet gravity reconstructed from the universe expansion history and yielding the transition from matter dominance to dark energy
- A Note on Thermodynamics of Black Holes in Lovelock Gravity
- Four Parametric Regular Black Hole Solution
- Regular black holes in quadratic gravity
- Static wormhole solution for higher-dimensional gravity in vacuum
- New Type of Regular Black Holes and Particlelike Solutions from Nonlinear Electrodynamics
- Thin-shell wormholes in Einstein-Maxwell theory with a Gauss-Bonnet term
- Exact Solutions of Lovelock-Born-Infeld Black Holes
- CSL-1: a chance projection effect or serendipitous discovery of a gravitational lens induced by a cosmic string?
- `Mass without mass' from thin shells in Gauss-Bonnet gravity
- Matter without matter: novel Kaluza-Klein spacetime in Einstein-Gauss-Bonnet gravity
- Gauss-Bonnet gravity, brane world models, and non-minimal coupling
- Stable Isotropic Cosmological Singularities in Quadratic Gravity
- Kaluza-Klein and Gauss-Bonnet cosmic strings
- Euler Chern Simons Gravity from Lovelock Born Infeld Gravity
- Black hole solutions of dimensionally reduced Einstein-Gauss-Bonnet gravity with a cosmological constant
- Graviton emission from a Gauss-Bonnet brane