General form for the longitudinal momentum of a spherically symmetric source

1979 ◽  
Vol 11 (3) ◽  
pp. 227-231 ◽  
Author(s):  
Jeffrey M. Bowen
Keyword(s):  
Longitudinal Momentum ◽  
Spherically Symmetric ◽  
Symmetric Source ◽  
Spherically Symmetric Source

scholarly journals Symmetric Criticality and Magnetic Monopoles in General Relativity

Symmetry ◽  
2019 ◽  
Vol 11 (7) ◽  
pp. 845
Author(s):  
Joel Franklin
Keyword(s):  
General Relativity ◽  
Magnetic Monopoles ◽  
Spherically Symmetric ◽  
Symmetric Source ◽  
Spherically Symmetric Source ◽  
Electrically Charged

The Weyl method for finding solutions in general relativity using symmetry by varying an action with respect to a reduced set of field variables is known to fail in some cases. We add to the list of failures by considering an application of the Weyl method to a magnetically charged spherically symmetric source, obtaining an incorrect geometry. This is surprising, because the same method, applied to electrically charged central bodies correctly produces the Reissner-Nordström spacetime.

scholarly journals Singularity-free interaction in dilaton-Maxwell electrodynamics

2016 ◽  
Vol 31 (31) ◽  
pp. 1650169 ◽  
Author(s):  
O. V. Kechkin ◽  
P. A. Mosharev
Keyword(s):  
Test Particle ◽  
Finite Energy ◽  
Spherically Symmetric ◽  
Coupling Constant ◽  
Energy Characteristics ◽  
Maxwell Electrodynamics ◽  
Symmetric Source ◽  
Nonlinear Static ◽  
Spherically Symmetric Source ◽  
Free Interaction

An effective potential is created for the dynamics of a test particle, which preserves dilatation symmetry for nonlinear static dilaton-Maxwell background. It is found that the central interaction in this theory is singularity-free everywhere; it vanishes at short distances and demonstrates Coulomb behavior far from the source. It is shown that static and spherically symmetric source behaves like a soliton: it has the finite energy characteristics that are inversely proportional to the dilaton-Maxwell coupling constant.

scholarly journals HYDROSTATIC EQUILIBRIUM OF INSULAR, STATIC, SPHERICALLY SYMMETRIC, PERFECT FLUID SOLUTIONS IN GENERAL RELATIVITY

2004 ◽  
Vol 19 (39) ◽  
pp. 2941-2956 ◽  
Author(s):  
P. S. NEGI
Keyword(s):  
Surface Density ◽  
Density Variation ◽  
Hydrostatic Equilibrium ◽  
Spherically Symmetric ◽  
Field Equations ◽  
Regular Solutions ◽  
Schwarzschild Solution ◽  
Source Mass ◽  
Symmetric Source ◽  
Set Up

An analysis of insular solutions of Einstein's field equations for static, spherically symmetric, source mass, on the basis of exterior Schwarzschild solution is presented. Following the analysis, we demonstrate that the regular solutions governed by a self-bound (that is, the surface density does not vanish together with pressure) equation of state (EOS) or density variation cannot exist in the state of hydrostatic equilibrium, because the source mass which belongs to them, does not represent the "actual mass" appears in the exterior Schwarzschild solution. The only configuration which could exist in this regard is governed by the homogeneous density distribution (i.e. the interior Schwarzschild solution). Other structures which naturally fulfill the requirement of the source mass, set up by exterior Schwarzschild solution (and, therefore, can exist in hydrostatic equilibrium) are either governed by gravitationally-bound regular solutions (i.e. the surface density also vanishes together with pressure), or self-bound singular solutions (i.e. the pressure and density both become infinity at the centre).

scholarly journals Alcock–Paczyński test with model-independent BAO data

2016 ◽  
Vol 26 (06) ◽  
pp. 1750055 ◽  
Author(s):  
F. Melia ◽  
M. López-Corredoira
Keyword(s):  
Acoustic Oscillation ◽  
Total Density ◽  
Spherically Symmetric ◽  
Active Mass ◽  
Sharp Feature ◽  
Baryonic Acoustic Oscillation ◽  
State Formula ◽  
Symmetric Source ◽  
Model Independent ◽  
Friedmann Robertson Walker

Cosmological tests based on the statistical analysis of galaxy distributions usually depend on source evolution. An exception is the Alcock–Paczyński (AP) test, which is based on the changing ratio of angular to spatial/redshift size of (presumed) spherically-symmetric source distributions with distance. Intrinsic redshift distortions due to gravitational effects may also have an influence, but they can now be overcome with the inclusion of a sharp feature, such as the Baryonic Acoustic Oscillation (BAO) peak. Redshift distortions affect the amplitude of the peak, but impact its position only negligibly. As we shall show here, the use of this diagnostic, with new BAO peaks from SDSS-III/BOSS at average redshifts [Formula: see text], [Formula: see text] and [Formula: see text], disfavors the current concordance ([Formula: see text]CDM) model at [Formula: see text]. Within the context of expanding Friedmann–Robertson–Walker (FRW) cosmologies, these data instead favor the zero active mass equation-of-state, [Formula: see text], where [Formula: see text] and [Formula: see text] are, respectively, the total density and pressure of the cosmic fluid, the basis for the [Formula: see text] universe.

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