Introduction | p. ix |
Cosmic strings and broken gauge symmetries | p. 1 |
Electromagnetism as a local gauge theory | p. 3 |
Electroweak unification | p. 8 |
The Nielsen--Olesen vortex string | p. 15 |
Strings as relics of the Big Bang | p. 24 |
The Nambu action | p. 27 |
The elements of string dynamics | p. 35 |
Describing a zero-thickness cosmic string | p. 35 |
The equation of motion | p. 38 |
Gauge conditions, periodicity and causal structure | p. 41 |
Conservation laws in symmetric spacetimes | p. 44 |
Invariant length | p. 48 |
Cusps and curvature singularities | p. 49 |
Intercommuting and kinks | p. 54 |
String dynamics in flat space | p. 59 |
The aligned standard gauge | p. 59 |
The GGRT gauge | p. 61 |
Conservation laws in flat space | p. 63 |
Initial-value formulation for a string loop | p. 68 |
Periodic solutions in the spinor representation | p. 70 |
The Kibble--Turok sphere and cusps and kinks in flat space | p. 73 |
Field reconnection at a cusp | p. 80 |
Self-intersection of a string loop | p. 85 |
Secular evolution of a string loop | p. 92 |
A bestiary of exact solutions | p. 99 |
Infinite strings | p. 99 |
The infinite straight string | p. 99 |
Travelling-wave solutions | p. 100 |
Strings with paired kinks | p. 102 |
Helical strings | p. 103 |
Some simple planar loops | p. 105 |
The collapsing circular loop | p. 105 |
The doubled rotating rod | p. 106 |
The degenerate kinked cuspless loop | p. 107 |
Cat's-eye strings | p. 108 |
Balloon strings | p. 112 |
Harmonic loop solutions | p. 114 |
Loops with one harmonic | p. 114 |
Loops with two unmixed harmonics | p. 117 |
Loops with two mixed harmonics | p. 122 |
Loops with three or more harmonics | p. 127 |
Stationary rotating solutions | p. 130 |
Three toy solutions | p. 135 |
The teardrop string | p. 135 |
The cardioid string | p. 137 |
The figure-of-eight string | p. 141 |
String dynamics in non-flat backgrounds | p. 144 |
Strings in Robertson--Walker spacetimes | p. 144 |
Straight string solutions | p. 145 |
Ring solutions | p. 147 |
Strings near a Schwarzschild black hole | p. 152 |
Ring solutions | p. 153 |
Static equilibrium solutions | p. 157 |
Scattering and capture of a straight string by a Schwarzschild hole | p. 159 |
Ring solutions in the Kerr metric | p. 167 |
Static equilibrium configurations in the Kerr metric | p. 170 |
Strings in plane-fronted-wave spacetimes | p. 177 |
Cosmic strings in the weak-field approximation | p. 181 |
The weak-field formalism | p. 182 |
Cusps in the weak-field approximation | p. 185 |
Kinks in the weak-field approximation | p. 189 |
Radiation of gravitational energy from a loop | p. 191 |
Calculations of radiated power | p. 196 |
Power from cuspless loops | p. 197 |
Power from the Vachaspati--Vilenkin loops | p. 199 |
Power from the p/q harmonic solutions | p. 202 |
Power radiated by a helical string | p. 204 |
Radiation from long strings | p. 208 |
Radiation of linear and angular momentum | p. 211 |
Linear momentum | p. 211 |
Angular momentum | p. 213 |
Radiative efficiencies from piecewise-linear loops | p. 219 |
The piecewise-linear approximation | p. 219 |
A minimum radiative efficiency? | p. 223 |
The field of a collapsing circular loop | p. 226 |
The back-reaction problem | p. 231 |
General features of the problem | p. 231 |
Self-acceleration of a cosmic string | p. 234 |
Back-reaction and cusp displacement | p. 240 |
Numerical results | p. 242 |
The gravitational field of an infinite straight string | p. 246 |
The metric due to an infinite straight string | p. 246 |
Properties of the straight-string metric | p. 250 |
The Geroch--Traschen critique | p. 252 |
Is the straight-string metric unstable to changes in the equation of state? | p. 255 |
A distributional description of the straight-string metric | p. 259 |
The self-force on a massive particle near a straight string | p. 263 |
The straight-string metric in 'asymptotically-flat' form | p. 267 |
Multiple straight strings and closed timelike curves | p. 271 |
Straight strings and 2 + 1 gravity | p. 271 |
Boosts and rotations of systems of straight strings | p. 273 |
The Gott construction | p. 274 |
String holonomy and closed timelike curves | p. 278 |
The Letelier--Gal'tsov spacetime | p. 282 |
Other exact string metrics | p. 286 |
Strings and travelling waves | p. 286 |
Strings from axisymmetric spacetimes | p. 291 |
Strings in a Robertson--Walker universe | p. 292 |
A string through a Schwarzschild black hole | p. 297 |
Strings coupled to a cosmological constant | p. 301 |
Strings in radiating cylindrical spacetimes | p. 303 |
The cylindrical formalism | p. 303 |
Separable solutions | p. 305 |
Strings in closed universes | p. 307 |
Radiating strings from axisymmetric spacetimes | p. 310 |
Einstein--Rosen soliton waves | p. 316 |
Two-mode soliton solutions | p. 321 |
Snapping cosmic strings | p. 324 |
Snapping strings in flat spacetimes | p. 324 |
Other spacetimes containing snapping strings | p. 329 |
Strong-field effects of zero-thickness strings | p. 332 |
Spatial geometry outside a stationary loop | p. 334 |
Black-hole formation from a collapsing loop | p. 340 |
Properties of the near gravitational field of a cosmic string | p. 343 |
A 3 + 1 split of the metric near a cosmic string | p. 346 |
General formalism | p. 346 |
Some sample near-field expansions | p. 349 |
Series solutions of the near-field vacuum Einstein equations | p. 352 |
Distributional stress--energy of the world sheet | p. 355 |
Bibliography | p. 359 |
Index | p. 367 |
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