Spherically Symmetric Equilibria for Self-Gravitating Kinetic or Fluid Models in the Nonrelativistic and Relativistic Case---A Simple Proof for Finite Extension

From MaRDI portal
Publication:2840376

DOI10.1137/120896712zbMath1291.35407arXiv1203.2590OpenAlexW3100554826MaRDI QIDQ2840376

Tobias Ramming, Gerhard Rein

Publication date: 18 July 2013

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1203.2590




Related Items (24)

The Einstein-Vlasov system in maximal areal coordinates-local existence and continuationGalactic dynamics in MOND -- existence of equilibria with finite mass and compact supportStability and instability results for equilibria of a (relativistic) self-gravitating collisionless gas—a reviewStatic self-gravitating Newtonian elastic ballsOn ``hard stars in general relativityOn the small redshift limit of steady states of the spherically symmetric Einstein–Vlasov system and their stabilityOscillating solutions of the Vlasov-Poisson system -- a numerical investigationOn the transport operators arising from linearizing the Vlasov-Poisson or Einstein-Vlasov system about isotropic steady statesThe formation of trapped surfaces in spherically-symmetric Einstein-Euler spacetimes with bounded variationA variational approach to relativistic fluid ballsOn the asymptotic behavior of static perfect fluidsTurning point principle for relativistic starsSpherical inhomogeneous solutions of Einstein and scalar-tensor gravity: a map of the landModels for self-gravitating photon shells and geonsA numerical stability analysis for the Einstein–Vlasov systemMass-radius spirals for steady state families of the Vlasov-Poisson systemMulti-body spherically symmetric steady states of Newtonian self-gravitating elastic matterStability and instability of self-gravitating relativistic matter distributionsStrong Lagrangian Solutions of the (Relativistic) Vlasov--Poisson System for NonSmooth, Spherically Symmetric DataExistence of Static Solutions of the Einstein--Vlasov--Maxwell System and the Thin Shell LimitExistence of steady states of the massless Einstein-Vlasov system surrounding a Schwarzschild black holeOn the existence of linearly oscillating galaxiesStatic Solutions to the Einstein--Vlasov System with a Nonvanishing Cosmological ConstantA Birman–Schwinger principle in galactic dynamics: ESI, Vienna, 07–11 February 2022







This page was built for publication: Spherically Symmetric Equilibria for Self-Gravitating Kinetic or Fluid Models in the Nonrelativistic and Relativistic Case---A Simple Proof for Finite Extension