The Dynamical Instability of Gaseous Masses Approaching the Schwarzschild Limit in General Relativity.
@article{Chandrasekhar1964TheDI, title={The Dynamical Instability of Gaseous Masses Approaching the Schwarzschild Limit in General Relativity.}, author={Subrahmanyan Chandrasekhar}, journal={The Astrophysical Journal}, year={1964}, volume={140}, pages={417-433} }
ABSTRACT In this paper the theory of the infinitesimal, baryon-number conserving, adiabatic, radial oscillations of a gas sphere is developed in the framework of general relativity. A variational base for determining the characteristic frequencies of oscillation is established. It provides a convenient method for obtaining sufficient conditions for the occurrence of dynamical instability. The principal result of the analysis is the demonstration that the Newtonian lower limit f, for the ratio…
560 Citations
Gravitational instability of finite isothermal spheres in general relativity. Analogy with neutron stars
- Physics
- 2002
We investigate the effects of relativity on the gravitational instability of finite isothermal gaseous spheres. In the first part of the paper, we treat the gravitational field within the framework…
Dynamical instability of gaseous sphere in the Reissner–Nordström limit
- Physics, Environmental Science
- 2015
In this paper, we study the dynamical instability of gaseous sphere under radial oscillations approaching the Reissner–Nordström limit. For this purpose, we derive linearized perturbed equation of…
Dynamical instability of cylindrical symmetric collapsing star in generalized teleparallel gravity
- Physics
- 2016
This paper is devoted to an analysis of the dynamical instability of a self-gravitating object that undergoes a collapse process. We take the framework of generalized teleparallel gravity with a…
Dynamical instability of shear-free collapsing star in extended teleparallel gravity
- Physics
- 2015
We study the spherically symmetric collapsing star in terms of dynamical instability. We take the framework of extended teleparallel gravity with a non-diagonal tetrad, a power-law form of the model…
Stability of general relativistic gaseous masses and variational principles
- Physics
- 1969
The Einstein field equations for a self-gravitating fluid that obeys an equation of state of the formp=p(w),p the pressure andw the energy density may be derived from a variational principle. The…
Dynamical instability of fluid spheres in the presence of a cosmological constant
- Physics
- 2005
The equations describing the adiabatic, small radial oscillations of general relativistic stars are generalized to include the effects of a cosmological constant. The generalized eigenvalue equation…
The stability of the equilibrium of supermassive and superdense stars
- Physics
- 1970
The second variation of the mass-energy (by constant baryon number) is analysed to inquire into the stability of the equilibrium for a spherical mass under the action of its own gravitation. The…
Conditions for equilibrium of perfect fluids in the scalar-tensor theories
- Physics
- 1993
AbstractWe have determined the first and second order radial and time symmetric variations of the mass-energy of spherically symmetric isentropic perfect fluids in the framework of the scalar-tensor…
On the radial stability of ultra-compact Schwarzschild stars beyond the Buchdahl limit
- PhysicsClassical and Quantum Gravity
- 2019
In this paper we used the theory of adiabatic radial oscillations developed by Chandrasekhar to study the conditions for dynamical stability of constant energy-density stars, or Schwarzschild stars,…
References
SHOWING 1-2 OF 2 REFERENCES
An Introduction to the Study of Stellar Structure
- PhysicsNature
- 1939
EDDINGTON'S “Internal Constitution of the Stars” was published in 1926 and gives what now ranks as a classical account of his own researches and of the general state of the theory at that time. Since…
Fluid Mechanics (London
- 1959