Zobrazeno 1 - 10
of 213
pro vyhledávání: '"Smoller, Joel"'
Publikováno v:
Encyclopedia of Mathematical Physics, 2nd Edition (2024) 435-448
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 to a Tolman-Oppenheimer-Volkoff metric across a spherical shock surfac
Externí odkaz:
http://arxiv.org/abs/2309.14472
Autor:
Finster, Felix, Smoller, Joel
Publikováno v:
"Nonlinear Analysis in Geometry and Applied Mathematics," L. Bieri et al. (eds.), International Press (2017) 77-90
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.
Comment: 11 pages, LaTeX, minor improvements (published version)
Comment: 11 pages, LaTeX, minor improvements (published version)
Externí odkaz:
http://arxiv.org/abs/1609.03171
Autor:
Finster, Felix, Smoller, Joel
Publikováno v:
Adv.Theor.Math.Phys. 21 (2017) 1991-2085
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 pointwise in time.
Comment: 66 pages, LaTeX, 2 figures, minor improv
Comment: 66 pages, LaTeX, 2 figures, minor improv
Externí odkaz:
http://arxiv.org/abs/1606.08005
Autor:
Finster, Felix, Smoller, Joel
Publikováno v:
Methods and Applications of Analysis 23 (2016) 35-118
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 not symmetric, its spectrum is complex and Jordan chains may appear. We
Externí odkaz:
http://arxiv.org/abs/1507.05756
We introduce a new asymptotic ansatz for spherical perturbations of the Standard Model of Cosmology (SM) which applies during the $p=0$ epoch, and prove that these perturbations trigger instabilities in the SM on the scale of the supernova data. Thes
Externí odkaz:
http://arxiv.org/abs/1412.4001
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 this paper by a variational method. Our method of proof consists of der
Externí odkaz:
http://arxiv.org/abs/1402.0265
Refined Error Estimates for the Riccati Equation with Applications to the Angular Teukolsky Equation
Autor:
Finster, Felix, Smoller, Joel
Publikováno v:
Methods and Applications of Analysis 22 (2015) 67-100
We derive refined rigorous error estimates for approximate solutions of Sturm-Liouville and Riccati equations with real or complex potentials. The approximate solutions include WKB approximations, Airy and parabolic cylinder functions, and certain Be
Externí odkaz:
http://arxiv.org/abs/1307.6470
Autor:
Finster, Felix, Smoller, Joel
Publikováno v:
Commun. Math. Sci. 12 (2014) 175-200
We derive WKB approximations for a class of Airy and parabolic cylinder functions in the complex plane, including quantitative error bounds. We prove that all zeros of the Airy function lie on a ray in the complex plane, and that the parabolic cylind
Externí odkaz:
http://arxiv.org/abs/1207.6861
Autor:
Smoller, Joel, Xie, Chunjing
In this paper, we show that massless Dirac waves in the Schwarzschild geometry decay to zero at a rate $t^{-2\lambda}$, where $\lambda=1, 2,...$ is the angular momentum. Our technique is to use Chandrasekhar's separation of variables whereby the Dira
Externí odkaz:
http://arxiv.org/abs/1104.2772