scholarly journals Scalar field at large distances from spherically symmetric static configuration

2019 ◽  
pp. 6-9
Author(s):  
A. Alexandrov ◽  
O. Stashko ◽  
V. Zhdanov
Keyword(s):  
Scalar Field ◽  
Iterative Method ◽  
Symmetric Space ◽  
Numerical Solution ◽  
Space Time ◽  
Spherically Symmetric ◽  
Joint System ◽  
Static Configuration ◽  
Radial Variable

Stationary spherically symmetric space-time in the quasi-global coordinates is considered in presence of scalar field (SF) minimally coupled to gravity, with a monomial potential V(ϕ)=ϕn, n>4. We prove convergence of an iterative method to solve the joint system of Einstein – SF equations at sufficiently large distances from the center. The result can be used for a numerical solution for the metric and SF by means of backwards integration from large values of the radial variable to smaller ones.

scholarly journals Janis–Newman–Winicour and Wyman Solutions are the Same

1997 ◽  
Vol 12 (27) ◽  
pp. 4831-4835 ◽  
Author(s):  
K. S. Virbhadra
Keyword(s):  
Exact Solution ◽  
Scalar Field ◽  
Total Energy ◽  
Space Time ◽  
Massless Scalar ◽  
Spherically Symmetric ◽  
Scalar Equations

We show that the well-known most general static and spherically symmetric exact solution to the Einstein-massless scalar equations given by Wyman is the same as one found by Janis, Newman and Winicour several years ago. We obtain the energy associated with this space–time and find that the total energy for the case of the purely scalar field is zero.

Induced Quantum Fluctuations in the Spherically Symmetric Space–Time

1997 ◽  
Vol 12 (18) ◽  
pp. 3171-3180 ◽  
Author(s):  
Kamal K. Nandi ◽  
Anwarul Islam ◽  
James Evans
Keyword(s):  
Symmetric Space ◽  
Light Cone ◽  
Quantum Fluctuation ◽  
Quantum Fluctuations ◽  
Dynamical Variable ◽  
Nonrelativistic Limit ◽  
Space Time ◽  
Spherically Symmetric ◽  
Speed Of Light

In the Schwarzschild field due to a mass moving with velocity v → c0, where c0 is the speed of light in vacuum, the source-induced quantum fluctuation in the light cone exhibits consistency with the Aichelburg–Sexl solution while that in the metric dynamical variable does not. At the horizon, none of the fluctuations is proportional to anything finite. However, in the nonrelativistic limit (v → 0), known expressions follow.

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