SPECTRAL SHIFT FROM AN EVOLVING DUST SPHERE

1993 ◽  
Vol 02 (04) ◽  
pp. 489-495 ◽  
Author(s):  
B. BHUI ◽  
S. CHATTERJEE ◽  
A. BANERJEE
Keyword(s):  
Frequency Shift ◽  
Higher Dimensions ◽  
Spectral Shift ◽  
Symmetric Distribution ◽  
Spherically Symmetric ◽  
Junction Conditions ◽  
Exterior Solution ◽  
Spherically Symmetric Distribution

Following O’brien-Synge’s junction conditions we find an exterior solution for a (n+2)-dimensional spherically symmetric distribution in comoving coordinates and match it with the zero-pressure dust interior. An expression for Schwarzschild-like mass is also obtained from the conditions of fit at the boundary. The relevant transformation relations which recast the comoving exterior into the static Schwarzschild-like form are also obtained. This generalizes to higher dimensions an earlier work of Raychaudhuri in 4D spacetime. Utilizing the transformation relations, an expression for frequency shift of radiation emitted from the surface of the sphere is also obtained.

scholarly journals Spherically Symmetric Tensor Fields and Their Application in Nonlinear Theory of Dislocations

Symmetry ◽  
2021 ◽  
Vol 13 (5) ◽  
pp. 830
Author(s):  
Evgeniya V. Goloveshkina ◽  
Leonid M. Zubov
Keyword(s):  
Nonlinear Theory ◽  
Hollow Sphere ◽  
Tensor Field ◽  
Exact Analytical Solution ◽  
Symmetric Tensor ◽  
Symmetric Distribution ◽  
Spherically Symmetric ◽  
Tensor Fields ◽  
Spherically Symmetric Distribution ◽  
Nonlinear Elastic

The concept of a spherically symmetric second-rank tensor field is formulated. A general representation of such a tensor field is derived. Results related to tensor analysis of spherically symmetric fields and their geometric properties are presented. Using these results, a formulation of the spherically symmetric problem of the nonlinear theory of dislocations is given. For an isotropic nonlinear elastic material with an arbitrary spherically symmetric distribution of dislocations, this problem is reduced to a nonlinear boundary value problem for a system of ordinary differential equations. In the case of an incompressible isotropic material and a spherically symmetric distribution of screw dislocations in the radial direction, an exact analytical solution is found for the equilibrium of a hollow sphere loaded from the outside and from the inside by hydrostatic pressures. This solution is suitable for any models of an isotropic incompressible body, i. e., universal in the specified class of materials. Based on the obtained solution, numerical calculations on the effect of dislocations on the stress state of an elastic hollow sphere at large deformations are carried out.

scholarly journals Nonstatic Spherically Symmetric Solutions for a Perfect Fluid in General Relativity

1976 ◽  
Vol 29 (2) ◽  
pp. 113 ◽  
Author(s):  
N Chakravarty ◽  
SB Dutta Choudhury ◽  
A Banerjee
Keyword(s):  
General Relativity ◽  
Exact Solutions ◽  
Perfect Fluid ◽  
Dynamical Behaviour ◽  
Symmetric Distribution ◽  
Spherically Symmetric ◽  
Field Equations ◽  
Spherically Symmetric Solutions ◽  
Spherically Symmetric Distribution ◽  
General Method

A general method is described by which exact solutions of Einstein's field equations are obtained for a nonstatic spherically symmetric distribution of a perfect fluid. In addition to the previously known solutions which are systematically derived, a new set of exact solutions is found, and the dynamical behaviour of the corresponding models is briefly discussed.

SPHERICALLY SYMMETRIC SCALAR FIELD IN GENERAL RELATIVITY

1996 ◽  
Vol 11 (30) ◽  
pp. 2409-2415 ◽  
Author(s):  
FERNANDO KOKUBUN
Keyword(s):  
Exact Solution ◽  
General Relativity ◽  
Scalar Field ◽  
Field Distribution ◽  
Symmetric Distribution ◽  
Spherically Symmetric ◽  
Ordinary Matter ◽  
Spherically Symmetric Distribution

We analyze the presence of a scalar field around a spherically symmetric distribution of an ordinary matter, obtaining an exact solution for a given scalar field distribution.

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