Conformal Ricci Collineations of Static Space–Times with Maximal Symmetric Transverse Spaces

2019 ◽  
Vol 198 (3) ◽  
pp. 463-474
Author(s):  
T. Hussain ◽  
F. Khan
Keyword(s):  
Ricci Collineations ◽  
Static Space

The Einstein pseudo-tensor and the flux integral for perturbed static space-times

1991 ◽  
Vol 435 (1895) ◽  
pp. 645-657 ◽  
Keyword(s):  
Energy Momentum Tensor ◽  
Momentum Tensor ◽  
Einstein Equations ◽  
Second Variation ◽  
Common Procedure ◽  
Static Vacuum ◽  
Linear Perturbations ◽  
Maxwell Space ◽  
The Common ◽  
Static Space

The flux integral for axisymmetric polar perturbations of static vacuum space-times, derived in an earlier paper directly from the relevant linearized Einstein equations, is rederived with the aid of the Einstein pseudo-tensor by a simple algorism. A similar earlier effort with the aid of the Landau–Lifshitz pseudo-tensor failed. The success with the Einstein pseudo-tensor is due to its special distinguishing feature that its second variation retains its divergence-free property provided only the equations governing the static space-time and its linear perturbations are satisfied. When one seeks the corresponding flux integral for Einstein‒Maxwell space-times, the common procedure of including, together with the pseudo-tensor, the energy‒momentum tensor of the prevailing electromagnetic field fails. But, a prescription due to R. Sorkin, of including instead a suitably defined ‘Noether operator’, succeeds.

Wormhole solutions in modified f(R,φ,X) gravity

2021 ◽  
Vol 36 (04) ◽  
pp. 2150021
Author(s):  
M. Farasat Shamir ◽  
Adnan Malik ◽  
G. Mustafa
Keyword(s):  
Shape Function ◽  
Scalar Potential ◽  
Three Dimensional ◽  
State Parameter ◽  
Energy Conditions ◽  
Kinetic Term ◽  
Anisotropic Fluid ◽  
Shape Functions ◽  
Current Analysis ◽  
Static Space

This work aims to investigate the wormhole solutions in the background of [Formula: see text] theory of gravity, where [Formula: see text] is Ricci scalar, [Formula: see text] is scalar potential, and [Formula: see text] is the kinetic term. We consider spherically symmetric static space–time for exploring the wormhole geometry with anisotropic fluid. For our current analysis, we consider a particular equation of state parameter to study the behavior of traceless fluid and examine the physical behavior of energy density and pressure components. Furthermore, we also choose a particular shape function and explore the energy conditions. It can be noticed that energy conditions are violated for both shape functions. The violation of energy conditions indicates the existence of exotic matter and wormhole. Therefore, it can be concluded that our results are stable and realistic. The interesting feature of this work is to show two- and three-dimensional plotting for the analysis of wormhole geometry.

Gain-Scheduled Controller Design for Load-Following in Static Space Nuclear Power Systems

1994 ◽  
Author(s):  
F. Ö. Onbaşioğlu ◽  
A. G. Parlos ◽  
K. L. Peddicord ◽  
John D. Metzger ◽  
Mohamed S. El-Genk ◽  
...  
Keyword(s):  
Power Systems ◽  
Nuclear Power ◽  
Controller Design ◽  
Load Following ◽  
Space Nuclear Power ◽  
Gain Scheduled Controller ◽  
Gain Scheduled ◽  
Static Space

Collision‐free gases in static space‐times

1986 ◽  
Vol 27 (10) ◽  
pp. 2514-2519 ◽  
Author(s):  
S. D. Maharaj ◽  
R. Maartens
Keyword(s):  
Free Gases ◽  
Static Space

Spherically-symmetric static space-times with minimally coupled scalar field

2010 ◽  
Author(s):  
I. A. Siutosou ◽  
L. M. Tomilchik ◽  
Remo Ruffini ◽  
Gregory Vereshchagin
Keyword(s):  
Scalar Field ◽  
Spherically Symmetric ◽  
Static Space

scholarly journals Comment on Ricci Collineations for Type B Warped Space-times

2000 ◽  
Vol 32 (2) ◽  
pp. 281-284 ◽  
Author(s):  
M. Tsamparlis ◽  
P. S. Apostolopoulos
Keyword(s):  
Type B ◽  
Ricci Collineations
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