An extension of the plane-symmetric electrovac general solution to Einstein equations

1985 ◽  
Vol 17 (10) ◽  
pp. 1001-1013 ◽  
Author(s):  
Li jian-zeng ◽  
Liang can-bin
Keyword(s):  
General Solution ◽  
Einstein Equations ◽  
Plane Symmetric

The solutions of the Einstein equations for uniformly accelerated particles without nodal singularities. II. Self-accelerating particles

1983 ◽  
Vol 390 (1799) ◽  
pp. 411-419 ◽  
Keyword(s):  
General Solution ◽  
General Theory ◽  
Gravitational Radiation ◽  
Model Space ◽  
Einstein Equations ◽  
Multipole Moments ◽  
Spatial Infinity ◽  
Asymptotic Structure ◽  
Rotation Symmetry ◽  
Accelerated Particles

Solutions are given representing two independent particles uniformly accelerated in opposite directions; the accelerations are not produced by nodal singularities, which are absent. One solution is constructed from the solution of Bonnor & Swaminarayan ( Z . Phys . 177, 240 (1964)) for two pairs of uniformly accelerated particles by a limiting procedure. Other solutions are obtained by solving the Einstein equations directly. A general solution representing two accelerating particles with arbitrary multipole structure attached to nodal singularities is first given. Then a condition restricting multipole moments is found, and this causes the nodal singularities to disappear. Although solutions of this type do not involve very physical sources, they belong to the best model space-times available today for examining the general theory of the asymptotic structure and the theory of gravitational radiation. Owing to the boost-rotation symmetry, the ADM 4-momentum at spatial infinity vanishes.

scholarly journals THE CONFORMALLY SPHERICALLY (PLANE-) SYMMETRIC ELECTRO-VACUUM SOLUTION TO EINSTEIN EQUATIONS

1989 ◽  
Vol 38 (7) ◽  
pp. 170
Author(s):  
FAN LI ◽  
LIANG CAN-BIN
Keyword(s):  
Vacuum Solution ◽  
Einstein Equations ◽  
Plane Symmetric

CONFORMAL MOTIONS IN PLANE SYMMETRIC STATIC SPACE–TIMES

2009 ◽  
Vol 18 (01) ◽  
pp. 71-81 ◽  
Author(s):  
K. SAIFULLAH ◽  
SHAIR-E-YAZDAN
Keyword(s):  
General Solution ◽  
Killing Vector ◽  
Conformal Killing ◽  
Conformal Killing Vector ◽  
Plane Symmetric ◽  
Killing Equations ◽  
Static Space

In this paper, conformal motions are studied in plane symmetric static space–times. The general solution of conformal Killing equations and the general form of the conformal Killing vector for these space–times are presented. All possibilities for the existence of conformal motions in these space–times are exhausted.

Plane symmetric general solution to Einstein-Maxwell equations in higher dimensions

1992 ◽  
Vol 1 (3) ◽  
pp. 161-166 ◽  
Author(s):  
Liang Can-bin ◽  
Shang Yu-ming
Keyword(s):  
General Solution ◽  
Maxwell Equations ◽  
Higher Dimensions ◽  
Plane Symmetric

The general solution to the Einstein equations on a null surface

1993 ◽  
Vol 10 (4) ◽  
pp. 773-778 ◽  
Author(s):  
S A Hayward
Keyword(s):  
General Solution ◽  
Einstein Equations ◽  
Null Surface

scholarly journals SEMI-PLANE-SYMMETRIC GENERAL SOLUTION GENERATED BY SEMI-PLANE-SYMMETRIC NON-NULL ELECTROMAGNETIC FIELDS

1989 ◽  
Vol 38 (6) ◽  
pp. 973
Author(s):  
LI JIAN-ZENG ◽  
LIANG CAN-BIN
Keyword(s):  
General Solution ◽  
Electromagnetic Fields ◽  
Plane Symmetric

scholarly journals “MODULI SPACE” OF ASYMPTOTICALLY ANTI-DE-SITTER SPACE-TIMES IN 2+1 DIMENSIONS

1995 ◽  
Vol 10 (29) ◽  
pp. 4139-4160 ◽  
Author(s):  
KIYOSHI EZAWA
Keyword(s):  
Black Holes ◽  
General Solution ◽  
Power Series ◽  
Cosmological Constant ◽  
Moduli Space ◽  
Three Dimensional ◽  
Einstein Equations ◽  
Quadratic Differentials ◽  
De Sitter ◽  
Inverse Radius

Setting an ansatz that the metric is expressible by a power series of the inverse radius and taking a particular gauge choice, we construct a “general solution” of (2+1)-dimensional Einstein equations with a negative cosmological constant in the case where the space-time is asymptotically anti-de-Sitter. Our general solution turns out to be parametrized by two centrally extended quadratic differentials on S1. In order to include three-dimensional black holes naturally in our general solution, it is necessary to exclude the region inside the horizon. We also discuss the relation of our general solution to the moduli space of flat [Formula: see text] connections.

A general solution of the Einstein equations with a time singularity

1992 ◽  
pp. 697-729
Author(s):  
V.A. BELINSKII ◽  
I.M. KHALATNIKOV ◽  
E.M. LIFSHITZ
Keyword(s):  
General Solution ◽  
Einstein Equations ◽  
Time Singularity
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