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Luminosity distance in Swiss cheese cosmology with randomized voids. II. Magnification probability distributions
Éanna É. Flanagan, Naresh Kumar, Ira Wasserman +1
We study the fluctuations in luminosity distances due to gravitational lensing by large scale (> 35 Mpc) structures, specifically voids and sheets. We use a simplified "Swiss chees…
A Nonlinear Coupling Network to Simulate the Development of the r-mode Instablility in Neutron Stars II. Dynamics
Jeandrew Brink, Saul A. Teukolsky, Ira Wasserman
Two mechanisms for nonlinear mode saturation of the r-mode in neutron stars have been suggested: the parametric instability mechanism involving a small number of modes and the form…
A Nonlinear Coupling Network to Simulate the Development of the r-mode Instablility in Neutron Stars I. Construction
Jeandrew Brink, Saul A. Teukolsky, Ira Wasserman
R-modes of a rotating neutron star are unstable because of the emission of gravitational radiation. We explore the saturation amplitudes of these modes determined by nonlinear mode…
Nonlinear Couplings of R-modes: Energy Transfer and Saturation Amplitudes at Realistic Timescales
Jeandrew Brink, Saul A Teukolsky, Ira Wasserman
Non-linear interactions among the inertial modes of a rotating fluid can be described by a network of coupled oscillators. We use such a description for an incompressible fluid to…
Nonlinear mode coupling in rotating stars and the r-mode instability in neutron stars
A. Katrin Schenk, Phil Arras, Eanna E. Flanagan +2
We develop the formalism required to study the nonlinear interaction of modes in rotating Newtonian stars in the weakly nonlinear regime. The formalism simplifies and extends previ…