Gravitational back reaction on piecewise linear cosmic string loops

Abstract

We calculate the metric and affine connection due to a piecewise linear cosmic string loop, and the effect of gravitational back reaction for the Garfinkle-Vachaspati loop with four straight segments. As expected, back reaction reduces the size of the loop, in accord with the energy going into gravitational waves. The "square" (maximally symmetric) loop evaporates without changing shape, but for all other loops in this class, the kinks become less sharp and segments between kinks become curved. If the loop is close to the square case, it will evaporate before its kinks are significantly changed, if it is far from square, the opening out of the kinks is much faster than evaporation of the loop.

24 pages, 14 figures, updated to version accepted to PRD

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• The number of cosmic string loops
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Cited by in corpus (18)

• Cosmology with the Laser Interferometer Space Antenna
• Stochastic Gravitational Wave Backgrounds
• Probing the gravitational wave background from cosmic strings with LISA
• Stochastic gravitational wave background from smoothed cosmic string loops
• Constraints on cosmic strings using data from the first Advanced LIGO observing run
• Beyond the Standard Models with Cosmic Strings
• Comparison of cosmic string and superstring models to NANOGrav 12.5-year results
• Effect of the cosmological constant on the deflection angle by a rotating cosmic string
• Cosmic string loop production functions
• Gravitational backreaction simulations of simple cosmic string loops
• Gravitational smoothing of kinks on cosmic string loops
• Gravitational back-reaction near cosmic string kinks and cusps
• Primordial black holes from cusp collapse on cosmic strings
• Gravitational backreaction on a cosmic string: Formalism
• Imprint of PBH domination on gravitational waves generated by cosmic strings
• Nonlinear gravitational-wave memory from cusps and kinks on cosmic strings
• Stochastic gravitational waves from long cosmic strings
• Backreaction on an infinite helical cosmic string