scholarly journals GRAVITATIONAL SOLITONS PRODUCED BY PLANE SYMMETRIC SCALAR FIELDS

1997 ◽  
Vol 46 (4) ◽  
pp. 640
Author(s):  
QIANG WEN-CHAO
Keyword(s):  
Scalar Fields ◽  
Plane Symmetric

scholarly journals Plane Symmetric Solutions of a Scalar-Tensor Theory of Gravitation

1977 ◽  
Vol 30 (1) ◽  
pp. 109 ◽  
Author(s):  
DRK Reddy
Keyword(s):  
General Relativity ◽  
Empty Space ◽  
Scalar Fields ◽  
Scalar Tensor Theory ◽  
Field Equations ◽  
Plane Symmetric ◽  
Zero Mass ◽  
Tensor Theory ◽  
Special Cases ◽  
Theory Of Gravitation

Plane symmetric solutions of a scalar-tensor theory proposed by Dunn have been obtained. These solutions are observed to be similar to the plane symmetric solutions of the field equations corresponding to zero mass scalar fields obtained by Patel. It is found that the empty space-times of general relativity discussed by Taub and by Bera are obtained as special cases.

scholarly journals Propagation of Scalar Fields in a Plane Symmetric Spacetime

2016 ◽  
Vol 46 (6) ◽  
pp. 784-792 ◽  
Author(s):  
Juliana Celestino ◽  
Márcio E. S. Alves ◽  
F. A. Barone
Keyword(s):  
Scalar Fields ◽  
Plane Symmetric ◽  
Symmetric Spacetime

scholarly journals STATIC SPACETIMES WITH PLANE-SYMMETRIC SCALAR FIELDS

1991 ◽  
Vol 40 (5) ◽  
pp. 673
Author(s):  
Li Jian-zeng ◽  
Liang Can-bin
Keyword(s):  
Scalar Fields ◽  
Plane Symmetric

scholarly journals A TWO-DIMENSIONAL REPRESENTATION OF FOUR-DIMENSIONAL GRAVITATIONAL WAVES

1998 ◽  
Vol 07 (02) ◽  
pp. 215-223 ◽  
Author(s):  
HANS-JÜRGEN SCHMIDT
Keyword(s):  
Gravitational Waves ◽  
Scalar Fields ◽  
Two Dimensions ◽  
Two Dimensional ◽  
Hidden Symmetries ◽  
Plane Symmetric ◽  
Four Dimensions ◽  
Birkhoff Theorem ◽  
Symmetric Spacetimes ◽  
Dimensional Spacetime

The Einstein equation in D dimensions, if restricted to the class of spacetimes possessing n = D - 2 commuting hypersurface-orthogonal Killing vectors, can be equivalently written as metric-dilaton gravity in two dimensions with n scalar fields. For n = 2, this result reduces to the known reduction of certain four-dimensional metrics which include gravitational waves. Here, we give such a representation which leads to a new proof of the Birkhoff theorem for plane-symmetric spacetimes, and which leads to an explanation, in which sense two (spin zero-) scalar fields in two dimensions may incorporate the (spin two-) gravitational waves in four dimensions. (This result should not be mixed up with well–known analogous statements where, however, the four-dimensional spacetime is supposed to be spherically symmetric, and then, of course, the equivalent two-dimensional picture cannot mimic any gravitational waves.) Finally, remarks on hidden symmetries in two dimensions are made.

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