Branching of symmetric solution of molecular field equation

1992 ◽  
Vol 90 (2) ◽  
pp. 166-174 ◽  
Author(s):  
A. N. Shramkov ◽  
P. P. Shtifanyuk
Keyword(s):  
Field Equation ◽  
Symmetric Solution ◽  
Molecular Field

scholarly journals Schwarzschild and Kerr solutions of Einstein's field equation: An Introduction

2015 ◽  
Vol 24 (02) ◽  
pp. 1530006 ◽  
Author(s):  
Christian Heinicke ◽  
Friedrich W. Hehl
Keyword(s):  
Gravitational Field ◽  
Field Equation ◽  
Symmetric Solution ◽  
Gravitational Theory ◽  
Vacuum Field ◽  
Kerr Solution ◽  
Spherically Symmetric ◽  
Axially Symmetric ◽  
Schwarzschild Solution ◽  
Spherically Symmetric Solution

Starting from Newton's gravitational theory, we give a general introduction into the spherically symmetric solution of Einstein's vacuum field equation, the Schwarzschild(–Droste) solution, and into one specific stationary axially symmetric solution, the Kerr solution. The Schwarzschild solution is unique and its metric can be interpreted as the exterior gravitational field of a spherically symmetric mass. The Kerr solution is only unique if the multipole moments of its mass and its angular momentum take on prescribed values. Its metric can be interpreted as the exterior gravitational field of a suitably rotating mass distribution. Both solutions describe objects exhibiting an event horizon, a frontier of no return. The corresponding notion of a black hole is explained to some extent. Eventually, we present some generalizations of the Kerr solution.

ON A PERFECT FLUID K¨ AHLER SPACETIME

2016 ◽  
Vol 12 (3) ◽  
pp. 4350-4355
Author(s):  
VIBHA SRIVASTAVA ◽  
P. N. PANDEY
Keyword(s):  
Field Equation ◽  
Perfect Fluid ◽  
Sectional Curvature ◽  
Einstein Field Equation ◽  
Cosmological Term ◽  
Conformal Killing ◽  
Killing Vectors ◽  
Projectively Flat ◽  
Conformal Killing Vectors

The object of the present paper is to study a perfect fluid K¨ahlerspacetime. A perfect fluid K¨ahler spacetime satisfying the Einstein field equation with a cosmological term has been studied and the existence of killingand conformal killing vectors have been discussed. Certain results related to sectional curvature for pseudo projectively flat perfect fluid K¨ahler spacetime have been obtained. Dust model for perfect fluid K¨ahler spacetime has also been studied.

MAGNETIC PROPERTIES OF PSEUDO-BINARY Mn1−xFexSn2 ALLOYS

1993 ◽  
Vol 07 (01n03) ◽  
pp. 867-870 ◽  
Author(s):  
H. SHIRAISHI ◽  
T. HORI ◽  
Y. YAMAGUCHI ◽  
S. FUNAHASHI ◽  
K. KANEMATSU
Keyword(s):  
Field Theory ◽  
Phase Diagram ◽  
Magnetic Properties ◽  
Magnetic Susceptibility ◽  
High Temperature ◽  
Magnetic Structure ◽  
Magnetic Phase ◽  
Magnetic Phase Diagram ◽  
Molecular Field ◽  
Magnetic Phases

The magnetic susceptibility measurements have been made on antiferromagnetic compounds Mn1–xFexSn2 and the magnetic phase diagram was illustrated. The high temperature magnetic phases I and III, major phases, were analyzed on the basis of molecular field theory and explained the change of magnetic structure I⇌III occured at x≈0.8.

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