Plane symmetric metrics associated with semi-plane symmetric electromagnetic fields in higher dimensions

1994 ◽  
Vol 26 (11) ◽  
pp. 1095-1106
Author(s):  
Canbin Liang ◽  
Guihua Tian
Keyword(s):  
Electromagnetic Fields ◽  
Higher Dimensions ◽  
Plane Symmetric ◽  
Symmetric Metrics

Static ‘‘semi‐plane‐symmetric’’ metrics yielded by plane‐symmetric electromagnetic fields

1989 ◽  
Vol 30 (12) ◽  
pp. 2915-2917 ◽  
Author(s):  
Jian‐zeng Li ◽  
Can‐bin Liang
Keyword(s):  
Electromagnetic Fields ◽  
Plane Symmetric ◽  
Symmetric Metrics

Completion of plane-symmetric metrics yielded by electromagnetic fields

1987 ◽  
Vol 19 (4) ◽  
pp. 345-350 ◽  
Author(s):  
Zhi-quan Kuang ◽  
Jian-zeng Li ◽  
Can-bin Liang
Keyword(s):  
Electromagnetic Fields ◽  
Plane Symmetric ◽  
Symmetric Metrics

scholarly journals f(T) gravity and energy distribution in Landau–Lifshitz prescription

2018 ◽  
Vol 27 (04) ◽  
pp. 1850039 ◽  
Author(s):  
M. G. Ganiou ◽  
M. J. S. Houndjo ◽  
J. Tossa
Keyword(s):  
General Relativity ◽  
Energy Density ◽  
Energy Distribution ◽  
Cosmic String ◽  
Mass Formula ◽  
Plane Symmetric ◽  
Symmetric Metrics ◽  
Teleparallel Theory ◽  
Momentum Complex ◽  
Theory View

We investigate in this paper the Landau–Lifshitz energy distribution in the framework of [Formula: see text] theory view as a modified version of Teleparallel theory. From some important Teleparallel theory results on the localization of energy, our investigations generalize the Landau–Lifshitz prescription from the computation of the energy–momentum complex to the framework of [Formula: see text] gravity as it is done in the modified versions of General Relativity. We compute the energy density in the first step for three plane-symmetric metrics in vacuum. We find for the second metric that the energy density vanishes independently of [Formula: see text] models. We find that the Teleparallel Landau–Lifshitz energy–momentum complex formulations for these metrics are different from those obtained in General Relativity for the same metrics. Second, the calculations are performed for the cosmic string spacetime metric. It results that the energy distribution depends on the mass [Formula: see text] and the radius [Formula: see text] of cosmic string and it is strongly affected by the parameter of the considered quadratic and cubic [Formula: see text] models. Our investigation with this metric induces interesting results susceptible to be tested with some astrophysics hypothesis.

scholarly journals Asymptotic properties of gravitational and electromagnetic fields in higher dimensions

2015 ◽  
Vol 600 ◽  
pp. 012052
Author(s):  
Marcello Ortaggio ◽  
Alena Pravdová
Keyword(s):  
Electromagnetic Fields ◽  
Asymptotic Properties ◽  
Higher Dimensions

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

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 ON ENERGY DISTRIBUTION OF TWO SPACE–TIMES WITH PLANAR AND CYLINDRICAL SYMMETRIES

2009 ◽  
Vol 24 (04) ◽  
pp. 789-797 ◽  
Author(s):  
SAEED MIRSHEKARI ◽  
AMIR M. ABBASSI
Keyword(s):  
Energy Distribution ◽  
Maxwell Equations ◽  
Spherically Symmetric ◽  
Plane Symmetric ◽  
Cylindrically Symmetric ◽  
Symmetric Metrics ◽  
Static Plane

Considering encouraging Virbhadra results about energy distribution of nonstatic spherically symmetric metrics in the Kerr–Schild class, it would be interesting to study some space–times with other symmetries. Using Møller and Einstein energy–momentum complexes in static plane-symmetric and cylindrically symmetric solutions to Einstein–Maxwell equations in 3+1 dimensions, energy (due to matter and fields including gravity) distribution is studied. Energy expressions are obtained finite and well-defined. Our results support the Cooperstock hypothesis about localized energy.

scholarly journals On the classification of Landsberg spherically symmetric Finsler metrics

2021 ◽  
Author(s):  
S. G. Elgendi
Keyword(s):  
Inverse Problem ◽  
Calculus Of Variations ◽  
Higher Dimensions ◽  
Finsler Metrics ◽  
Spherically Symmetric ◽  
Two Dimensional ◽  
Compatibility Conditions ◽  
Symmetric Metrics ◽  
Specific Formula

In this paper, as an application of the inverse problem of calculus of variations, we investigate two compatibility conditions on the spherically symmetric Finsler metrics. By making use of these conditions, we focus our attention on the Landsberg spherically symmetric Finsler metrics. We classify all spherically symmetric manifolds of Landsberg or Berwald types. For the higher dimensions [Formula: see text], we prove that all Landsberg spherically symmetric manifolds are either Riemannian or their geodesic sprays have a specific formula; all regular Landsberg spherically symmetric metrics are Riemannian; all (regular or non-regular) Berwald spherically symmetric metrics are Riemannian. Moreover, we establish new unicorns, i.e. new explicit examples of non-regular non-Berwaldian Landsberg metrics are obtained. For the two-dimensional case, we characterize all Berwald or Landsberg spherically symmetric surfaces.

Gauge freedom of plane-symmetric line elements with semi-plane-symmetric null electromagnetic fields

1986 ◽  
Vol 34 (8) ◽  
pp. 2241-2245 ◽  
Author(s):  
Kuang zhi-quan ◽  
Li jian-zeng ◽  
Liang can-bin
Keyword(s):  
Electromagnetic Fields ◽  
Gauge Freedom ◽  
Plane Symmetric ◽  
Symmetric Line ◽  
Line Elements
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