General static plane-symmetric solutions of the Einstein-Maxwell equations

1983 ◽  
Vol 27 (8) ◽  
pp. 1731-1739 ◽  
Author(s):  
P. A. Amundsen ◽  
Ø. Grøn
Keyword(s):  
Maxwell Equations ◽  
Plane Symmetric ◽  
Static Plane

scholarly journals Black Plane Solutions and Localized Gravitational Energy

2015 ◽  
Vol 2015 ◽  
pp. 1-4
Author(s):  
Paul Halpern ◽  
Jennifer Roberts
Keyword(s):  
Energy Distribution ◽  
Maxwell Equations ◽  
Gravitational Energy ◽  
De Sitter ◽  
Energy Localization ◽  
Energy Distributions ◽  
Plane Symmetric ◽  
Static Plane ◽  
Black Plane

We explore the issue of gravitational energy localization for static plane-symmetric solutions of the Einstein-Maxwell equations in 3+1 dimensions with asymptotic anti-de Sitter behavior. We apply three different energy-momentum complexes, the Einstein, Landau-Lifshitz, and Møller prescriptions, to the metric representing this category of solutions and determine the energy distribution for each. We find that the three prescriptions offer identical energy distributions, suggesting their utility for this type of model.

scholarly journals ENERGY DISTRIBUTION OF BLACK PLANE SOLUTIONS

2006 ◽  
Vol 21 (06) ◽  
pp. 495-502 ◽  
Author(s):  
PAUL HALPERN
Keyword(s):  
Energy Distribution ◽  
Cosmological Constant ◽  
Electric Charge ◽  
Maxwell Equations ◽  
De Sitter ◽  
Plane Symmetric ◽  
Sitter Solution ◽  
Static Plane ◽  
Momentum Complex ◽  
Black Plane

We use the Einstein energy–momentum complex to calculate the energy distribution of static plane-symmetric solutions of the Einstein–Maxwell equations in 3+1 dimensions with asymptotic anti-de Sitter behavior. This solution is expressed in terms of three parameters: the mass, electric charge and cosmological constant. We compare the energy distribution to that of the Reissner–Nordström–anti-de Sitter solution, pointing to qualitative differences between the models. Finally, we examine these results within the context of the Cooperstock hypothesis.

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.

A study of energy conditions in static plane symmetric space–times via homothetic symmetries

2019 ◽  
Vol 34 (35) ◽  
pp. 1950238
Author(s):  
Tahir Hussain ◽  
Uzma Nasib ◽  
Muhammad Farhan ◽  
Ashfaque H. Bokhari
Keyword(s):  
Symmetric Space ◽  
Vector Fields ◽  
Momentum Tensor ◽  
Energy Conditions ◽  
Field Equations ◽  
New Approach ◽  
Plane Symmetric ◽  
Homothetic Vector ◽  
Integration Techniques ◽  
Static Plane

The aim of this study is twofold. First, we use a new approach to study the homothetic vector fields (HVFs) of static plane symmetric space–times by an algorithm which we have developed using the Maple platform. The interesting feature of this algorithm is that it provides the most general form of metrics admitting HVFs as compared to those obtained in an earlier study where direct integration techniques were used. Second, the obtained metrics are used in Einstein’s field equations to compute the energy–momentum tensor and it is shown how the parameters involved in the obtained space–time metrics are associated with certain important energy conditions.

A note on classification of teleparallel conformal symmetries in non-static plane symmetric space-times in the teleparallel theory of gravitation using diagonal tetrads

2016 ◽  
Vol 13 (04) ◽  
pp. 1650046 ◽  
Author(s):  
Ghulam Shabbir ◽  
Alamgeer Khan ◽  
M. Amer Qureshi ◽  
A. H. Kara
Keyword(s):  
Symmetric Space ◽  
Vector Fields ◽  
Integration Technique ◽  
Plane Symmetric ◽  
Conformal Vector ◽  
Conformal Vector Fields ◽  
Teleparallel Theory ◽  
Theory Of Gravitation ◽  
Static Plane

In this paper, we explore teleparallel conformal vector fields in non-static plane symmetric space-times in the teleparallel theory of gravitation using the direct integration technique and diagonal tetrads. This study will also cover the static plane symmetric space-times as well. In the teleparallel theory curvature of the non-static plane symmetric space-times is zero and the presence of torsion allows more symmetries. In this study after solving the integrabilty conditions it turns out that the dimension of teleparallel conformal vector fields are 5, 6, 7 or 8.

Sign in / Sign up

Export Citation Format

Share Document