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 Killing and Noether Symmetries of Plane Symmetric Spacetime

2013 ◽  
Vol 52 (9) ◽  
pp. 3106-3117 ◽  
Author(s):  
M. Farasat Shamir ◽  
Adil Jhangeer ◽  
Akhlaq Ahmad Bhatti
Keyword(s):  
Noether Symmetries ◽  
Plane Symmetric ◽  
Symmetric Spacetime

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 Approximate Noether symmetries from geodetic Lagrangian for plane symmetric spacetimes

2015 ◽  
Vol 12 (10) ◽  
pp. 1550124 ◽  
Author(s):  
Farhad Ali ◽  
Tooba Feroze
Keyword(s):  
Conformal Factor ◽  
Noether Symmetries ◽  
Plane Symmetric ◽  
First Order ◽  
Symmetric Spacetimes ◽  
General Plane ◽  
Symmetric Spacetime ◽  
Conformal Plane ◽  
General Time

Noether symmetries from geodetic Lagrangian for time-conformal plane symmetric spacetime are presented. Here, time-conformal factor is used to find the approximate Noether symmetries. This is a generalization of the idea discussed,5–6 where they obtained approximate Noether symmetries from Lagrangian for a particular plane symmetric static spacetime. In the present paper, the most general plane symmetric static spacetime is considered and perturbed it by introducing a general time-conformal factor eϵf(t), where ϵ is very small which causes the perturbation in the spacetime. Taking the perturbation up to the first-order, we find all Lagrangian for plane symmetric spacetimes for which approximate Noether symmetries exist.

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

Correction to the conservation laws in plane symmetric gravitational wave-like spacetimes

2018 ◽  
Vol 33 (21) ◽  
pp. 1850123 ◽  
Author(s):  
Farhad Ali ◽  
Wali Khan Mashwani ◽  
Muhammad Asif Jan
Keyword(s):  
Conservation Laws ◽  
Gravitational Wave ◽  
Conformal Factor ◽  
Time Dependent ◽  
Noether Symmetries ◽  
Plane Symmetric ◽  
Energy And Momentum ◽  
Symmetric Spacetime

This paper discusses the approximate Noether symmetries of the action of plane symmetric spacetime. A time-dependent conformal factor is introduced in the plane symmetric metric in such a way so as to obtain the same number of Noether symmetries as for the exact plane symmetric spacetime. The corresponding approximate conservation is obtained to discuss the conservation laws of the energy and momentum during the formation of gravitational wave.

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