Turning point principle for relativistic stars

DOI10.1007/s00220-021-04197-6zbMath1476.83190arXiv2006.09749OpenAlexW3200334198MaRDI QIDQ2231658

Publication date: 30 September 2021

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2006.09749

Mathematics Subject Classification ID

Relativistic cosmology (83F05) Galactic and stellar structure (85A15) Radiative transfer in astronomy and astrophysics (85A25)

Related Items (3)

Star dynamics: Collapse vs. expansion ⋮ The relativistic Euler equations with a physical vacuum boundary: Hadamard local well-posedness, rough solutions, and continuation criterion ⋮ Stability and instability results for equilibria of a (relativistic) self-gravitating collisionless gas—a review

Cites Work

Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
On spherically symmetric solutions of the Einstein-Euler equations
Mass-radius spirals for steady state families of the Vlasov-Poisson system
Orbital stability of spherical galactic models
Unstable and stable galaxy models
On spherically symmetric stellar models in general relativity
Perturbation theory for linear operators.
Stability and instability of self-gravitating relativistic matter distributions
A non-variational approach to nonlinear stability in stellar dynamics applied to the King model
Spherically Symmetric Equilibria for Self-Gravitating Kinetic or Fluid Models in the Nonrelativistic and Relativistic Case---A Simple Proof for Finite Extension
Thermodynamical instabilities of perfect fluid spheres in General Relativity
Black hole instabilities and local Penrose inequalities
Dynamical systems approach to relativistic spherically symmetric static perfect fluid models
(In)finiteness of spherically symmetric static perfect fluids
Instability, index theorem, and exponential trichotomy for Linear Hamiltonian PDEs
On the small redshift limit of steady states of the spherically symmetric Einstein–Vlasov system and their stability
Dynamic and thermodynamic stability of relativistic, perfect fluid stars
Turning point instabilities for relativistic stars and black holes
A numerical investigation of the stability of steady states and critical phenomena for the spherically symmetric Einstein–Vlasov system
Accretion Disks Around Black Holes with Account of Magnetic Fields
A General Variational Principle Governing the Radial and the Non-Radial Oscillations of Gaseous Masses.
On Massive Neutron Cores
Separable Hamiltonian PDEs and Turning Point Principle for Stability of Gaseous Stars
General Relativity
A new variational approach to the stability of gravitational systems
General Relativity
Critical phenomena in gravitational collapse
General relativistic stars: Polytropic equations of state

This page was built for publication: Turning point principle for relativistic stars