scholarly journals Geodesics near a curvature singularity of stationary and axially symmetric space-times

2020 ◽  
Author(s):  
Juan Carlos Del Águila Rodríguez ◽  
Tonatiuh Matos
Keyword(s):  
Symmetric Space ◽  
Axially Symmetric ◽  
Curvature Singularity

scholarly journals Numerical relativity forDdimensional axially symmetric space-times: Formalism and code tests

2010 ◽  
Vol 81 (8) ◽  
Author(s):  
Miguel Zilhão ◽  
Helvi Witek ◽  
Ulrich Sperhake ◽  
Vitor Cardoso ◽  
Leonardo Gualtieri ◽  
...  
Keyword(s):  
Symmetric Space ◽  
Numerical Relativity ◽  
Axially Symmetric

Weyl static axially symmetric field equations in modified f(T) gravity

2017 ◽  
Vol 14 (04) ◽  
pp. 1750053 ◽  
Author(s):  
Saeed Nayeh ◽  
Mehrdad Ghominejad
Keyword(s):  
General Relativity ◽  
Symmetric Space ◽  
Energy Momentum Tensor ◽  
Radial Component ◽  
Momentum Tensor ◽  
Space Time ◽  
Axially Symmetric ◽  
Einstein Field Equations ◽  
Field Equations ◽  
Torsion Scalar

In this paper, we obtain the field equations of Weyl static axially symmetric space-time in the framework of [Formula: see text] gravity, where [Formula: see text] is torsion scalar. We will see that, for [Formula: see text] related to teleparallel equivalent general relativity, these equations reduce to Einstein field equations. We show that if the components of energy–momentum tensor are symmetric, the scalar torsion must be either constant or only a function of radial component [Formula: see text]. The solutions of some functions [Formula: see text] in which [Formula: see text] is a function of [Formula: see text] are obtained.

scholarly journals On axially symmetric space–times admitting homothetic vector fields in Lyra’s geometry

2016 ◽  
Vol 94 (11) ◽  
pp. 1148-1152
Author(s):  
Ragab M. Gad ◽  
A.E. Al Mazrooei
Keyword(s):  
Vector Field ◽  
Symmetric Space ◽  
Vector Fields ◽  
Displacement Vector ◽  
Space Time ◽  
Axially Symmetric ◽  
Einstein’S Field Equations ◽  
Field Equations ◽  
Homothetic Vector ◽  
Lyra’S Geometry

This paper investigates axially symmetric space–times that admit a homothetic vector field based on Lyra’s geometry. The cases when the displacement vector is a function of t and when it is constant are studied. In the context of this geometry, we find and classify the solutions of the Einstein’s field equations for the space–time under consideration, which display a homothetic symmetry.

Torsional dipoles

1988 ◽  
Vol 66 (4) ◽  
pp. 338-340
Author(s):  
M. D. Roberts
Keyword(s):  
Differential Equations ◽  
Electric Field ◽  
Symmetric Space ◽  
Electric Dipole ◽  
Gravitational Theory ◽  
Field Tensor ◽  
Axially Symmetric ◽  
Dipole Structure

An attempt is made to introduce dipole structure into gravitational theory. We do this by trying to produce torsion tensors with the same form as the electric-field tensor for an electric dipole. First, we construct Ricci tensors for space-times with vanishing Christoffel connections. Then we discuss the conditions to put on the tensors. Each condition gives differential equations; however, none of the solutions provides an entirely satisfactory dipole structure. Finally, we briefly discuss how to "force" axially symmetric space-times having dipole structure.

Axially-symmetric space-charge flow in a decelerating space

Microwaves ◽  
1963 ◽  
pp. 610-615
Author(s):  
D. A. Dunn ◽  
R. P. Borghi ◽  
R. C. Morwood
Keyword(s):  
Symmetric Space ◽  
Space Charge ◽  
Axially Symmetric ◽  
Charge Flow
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