Nonlinear stability for the Maxwell-Born-Infeld system on a Schwarzschild background

  title={Nonlinear stability for the Maxwell-Born-Infeld system on a Schwarzschild background},
  author={Federico Pasqualotto},
  journal={arXiv: General Relativity and Quantum Cosmology},
  • Federico Pasqualotto
  • Published 2017
  • Physics, Mathematics
  • arXiv: General Relativity and Quantum Cosmology
In this paper we prove small data global existence for solutions to the Maxwell-Born-Infeld (MBI) system on a fixed Schwarzschild background. This system has appeared in the context of string theory and can be seen as a nonlinear model problem for the stability of the background metric itself, due to its tensorial and quasilinear nature. The MBI system models nonlinear electromagnetism and does not display birefringence. The key element in our proof lies in the observation that there exists a… Expand
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