Relativistic Stellar Dynamics in Rotating Axially Symmetric Systems

1968 ◽  
Vol 1 (3) ◽  
pp. 86-87 ◽  
Author(s):  
E.D. Fackerell
Keyword(s):  
General Relativity ◽  
Star Clusters ◽  
Stellar Dynamics ◽  
Spherically Symmetric ◽  
Axially Symmetric ◽  
Relativistic Star ◽  
General Relativistic ◽  
Stellar Sources ◽  
Symmetric Systems

Recently the possibility has been raised of using general relativistic star clusters as models for quasi-stellar sources. The theory of static, spherically symmetric, collisionless star clusters has been developed within the framework of general relativity. In particular, analogues have been found of the Newtonian polytropic models and of Woolley’s truncated Maxwellian systems. However, in view of the importance of rotation on stability in relativistic astrophysical problems, it is of considerable interest to include the effect of rotation in relativistic stellar dynamics.

A resolution of a metric singularity associated with the introduction of Λ into static spherically symmetric systems

2017 ◽  
Vol 26 (04) ◽  
pp. 1750039 ◽  
Author(s):  
Thomas E. Kiess
Keyword(s):  
General Relativity ◽  
Cosmological Constant ◽  
Cosmological Parameters ◽  
Classical General Relativity ◽  
Spherically Symmetric ◽  
Astronomical Observations ◽  
Ordinary Matter ◽  
Physical Systems ◽  
General Relativistic ◽  
Symmetric Systems

We resolve a metric singularity at large [Formula: see text] that is due to the introduction of the cosmological constant [Formula: see text] in simple static spherically symmetric systems in classical general relativity for a mass bounded within a radius [Formula: see text]. For the metric to be nonsingular, we find that ordinary matter must exist beyond [Formula: see text], and that mass densities and [Formula: see text] must have spatial ranges. These features can be developed covariantly and can ameliorate discrepancies between theoretical values of [Formula: see text] and those derived from astronomical observations. Requiring a nonsingular metric in classical general relativistic modeling of this and other physical systems has the potential to offer suggestive insights into cosmological parameters.

STRANGE MATTER STARS AND GENERAL RELATIVITY

1998 ◽  
Vol 13 (16) ◽  
pp. 1253-1264 ◽  
Author(s):  
LUIS P. NEIRA CERVILLERA ◽  
ROBERTO O. AQUILANO ◽  
HECTOR VUCETICH
Keyword(s):  
General Relativity ◽  
Supernova Remnant ◽  
Strange Matter ◽  
Relativistic Star ◽  
Young Supernova Remnant ◽  
General Relativistic

In this letter we present a general relativistic star with strange matter to explain in a young supernova remnant the radial millisecond oscillations. The results confirm previous conclusions.

scholarly journals NEUTRON STAR CORES IN THE GENERAL RELATIVISTIC THOMAS-FERMI TREATMENT

2013 ◽  
Vol 23 ◽  
pp. 185-192
Author(s):  
RICCARDO BELVEDERE ◽  
JORGE A. RUEDA ◽  
REMO RUFFINI
Keyword(s):  
General Relativity ◽  
Neutron Stars ◽  
Mean Field ◽  
Field Approximation ◽  
Mean Field Approximation ◽  
Strong Interactions ◽  
Spherically Symmetric ◽  
The Core ◽  
General Relativistic ◽  
The Mean

We introduce a new set of equations to describe the equilibrium of the core of neutron stars, composed by self-gravitating degenerate neutrons, protons and electrons in β-equilibrium. We take into account strong, weak, electromagnetic and gravitational interactions within the framework of general relativity. We extend the conditions of equilibrium based on the constancy of the Klein potentials to the strongly interactive case. The strong interactions between nucleons are modeled through the exchange of the σ, ω and ρ virtual mesons. The equations are solved numerically in the case of zero temperatures and for a non-rotating spherically symmetric neutron stars in the mean-field approximation.

scholarly journals Radar time delays in the dynamic theory of gravity

2004 ◽  
pp. 49-54
Author(s):  
I.I. Haranas
Keyword(s):  
General Relativity ◽  
Solar System ◽  
Time Delays ◽  
Dynamic Theory ◽  
Dimensional Space ◽  
Gravity Potential ◽  
Spherically Symmetric ◽  
Time Element ◽  
General Relativistic ◽  
Theory Of Gravity

There is a new theory gravity called the dynamic theory, which is derived from thermodynamic principles in a five dimensional space, radar signals traveling times and delays are calculated for the major planets in the solar system, and compared to those of general relativity. This is done by using the usual four dimensional spherically symmetric space-time element of classical general relativistic gravity which has now been slightly modified by a negative inverse radial exponential term due to the dynamic theory of gravity potential.

scholarly journals The Concentric Shell Method for Relativistic Star Clusters

1975 ◽  
Vol 69 ◽  
pp. 433-439 ◽  
Author(s):  
E. D. Fackerell
Keyword(s):  
Star Clusters ◽  
Spherically Symmetric ◽  
Spherical Shells ◽  
Relativistic Star ◽  
Symmetric Star ◽  
Concentric Shell

The analytic aspects of the Campbell-Hénon method of concentric spherical shells are generalized for application to relativistic spherically symmetric star clusters.

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