@inbook{39071,
  keywords = {gravitational collapse, equation, black-hole, critical-behavior, Focusing, FRW metric, nonlinear ODEs, singularities, space-time},
  author = {Christodoulakis and Helias and Kevrekidis and Kevrekidis and Papadopoulos and Abdullaev and Konotop},
  title = {ON 3+1 DIMENSIONAL FRIEDMAN-ROBERTSON-WALKER UNIVERSES WITH MATTER},
  abstract = { <p>We examine the dynamical behavior of matter coupled to gravity in the context of a linear Klein-Gordon equation coupled to a Friedman-Robertson-Walker metric. The resulting ordinary differential equations can be decoupled, the effect of gravity being traced in rendering the equation for the scalar field nonlinear. We obtain regular (in the mass-less case) and asymptotic (in the massive case) solutions for the resulting matter field and discuss their ensuing finite time blowup in the light of earlier findings. Finally, some potentially interesting connections of these blowups with features of focusing in the theory of nonlinear partial differential equations are outlined, suggesting the potential relevance of a nonlinear theory of quantum cosmology.</p> },
  year = {2005},
  journal = {Nonlinear Waves: Classical and Quantum Aspects},
  volume = {153},
  pages = {135-143},
  publisher = {Springer},
  address = {Dordrecht},
  isbn = {978-1-4020-2190-9},
  language = {English},
}