22. Gravitational Field of a Nonstatic, Spherically Symmetric Source

1984 ◽  
Vol 26 (2) ◽  
pp. 1800-1801
Keyword(s):  
Gravitational Field ◽  
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 PARAMETRIC INSTABILITY IN SCALAR GRAVITATIONAL FIELDS

2012 ◽  
Vol 27 (24) ◽  
pp. 1230023 ◽  
Author(s):  
TREVOR B. DAVIES ◽  
CHARLES H.-T. WANG ◽  
ROBERT BINGHAM ◽  
J. TITO MENDONÇA
Keyword(s):  
Gravitational Field ◽  
Field Effect ◽  
Strong Field ◽  
Parametric Instability ◽  
Spherically Symmetric ◽  
Scalar Tensor Theory ◽  
Subsequent Work ◽  
Dynamical Mechanism ◽  
Gravitational Fields ◽  
Tensor Theory

We present a brief review on a new dynamical mechanism for a strong field effect in scalar–tensor theory. Starting with a summary of the essential features of the theory and subsequent work by several authors, we analytically investigate the parametric excitation of a scalar gravitational field in a spherically symmetric radially pulsating neutron star.

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