133 citations · 1.2k across the 41 of their papers we have counts for
41 papers
Shock-Wave Refinement of the Friedmann-Robertson-Walker Metric
Christopher Alexander, Blake Temple, Joel Smoller
The mathematics of general relativistic shock waves is introduced and considered in a cosmological context. In particular, an expanding Friedmann-Roberson-Walker metric is matched…
Linear Stability of Rotating Black Holes: Outline of the Proof
Felix Finster, Joel Smoller
After a brief introduction to the black hole stability problem, we outline our recent proof of the linear stability of the non-extreme Kerr geometry.
Linear Stability of the Non-Extreme Kerr Black Hole
Felix Finster, Joel Smoller
It is proven that for smooth initial data with compact support outside the event horizon, the solution of every azimuthal mode of the Teukolsky equation for general spin decays poi…
A Spectral Representation for Spin-Weighted Spheroidal Wave Operators with Complex Aspherical Parameter
Felix Finster, Joel Smoller
A family of spectral decompositions of the spin-weighted spheroidal wave operator is constructed for complex aspherical parameters with bounded imaginary part. As the operator is n…
An Instability of the Standard Model Creates the Anomalous Acceleration Without Dark Energy
Joel Smoller, Blake Temple, Zeke Vogler
We introduce a new asymptotic ansatz for spherical perturbations of the Standard Model of Cosmology (SM) which applies during the epoch, and prove that these perturbations tr…
Existence of Magnetic Compressible Fluid Stars
Paul Federbush, Tao Luo, Joel Smoller
The existence of magnetic star solutions which are axi-symmetric stationary solutions for the Euler-Poisson system of compressible fluids coupled to a magnetic field is proved in t…