scholarly journals Stationary and axisymmetric solutions of higher-dimensional general relativity

2004 ◽  
Vol 70 (12) ◽  
Author(s):  
Troels Harmark
Keyword(s):  
General Relativity ◽  
Higher Dimensional ◽  
Axisymmetric Solutions

HIGHER-DIMENSIONAL COSMOLOGICAL MODELS WITH STRANGE QUARK MATTER

2006 ◽  
Vol 15 (04) ◽  
pp. 477-483 ◽  
Author(s):  
IHSAN YILMAZ ◽  
ATTILA ALTAY YAVUZ
Keyword(s):  
General Relativity ◽  
Quark Gluon Plasma ◽  
Quark Matter ◽  
Strange Quark ◽  
Gluon Plasma ◽  
Strange Quark Matter ◽  
Cosmological Models ◽  
Field Equations ◽  
Higher Dimensional ◽  
Different Types

In this article, we study higher-dimensional cosmological models with quark–gluon plasma in the context of general relativity. For this purpose, we consider quark–gluon plasma as a perfect fluid in the higher-dimensional universes. After solving Einstein's field equations, we have analyzed this matter for the different types of universes in the higher- and four-dimensional universes. Also, we have discussed the features of obtained solutions.

MØLLER ENERGY–MOMENTUM COMPLEX FOR HIGHER-DIMENSIONAL SPHERICALLY SYMMETRIC SPACETIME IN GENERAL RELATIVITY

2012 ◽  
Vol 27 (40) ◽  
pp. 1250231 ◽  
Author(s):  
HÜSNÜ BAYSAL
Keyword(s):  
General Relativity ◽  
Momentum Density ◽  
Momentum Tensor ◽  
Symmetric Model ◽  
Spherically Symmetric ◽  
Higher Dimensional ◽  
Energy And Momentum ◽  
Momentum Complex ◽  
Spherically Symmetric Metric ◽  
Spherically Symmetric Model

We have calculated the total energy–momentum distribution associated with (n+2)-dimensional spherically symmetric model of the universe by using the Møller energy–momentum definition in general relativity (GR). We have found that components of Møller energy and momentum tensor for given spacetimes are different from zero. Also, we are able to get energy and momentum density of various well-known wormholes and black hole models by using the (n+2)-dimensional spherically symmetric metric. Also, our results have been discussed and compared with the results for four-dimensional spacetimes in literature.

scholarly journals Do Solar System Tests Permit Higher Dimensional General Relativity?

2009 ◽  
Vol 48 (11) ◽  
pp. 3124-3138 ◽  
Author(s):  
F. Rahaman ◽  
Saibal Ray ◽  
M. Kalam ◽  
M. Sarker
Keyword(s):  
General Relativity ◽  
Solar System ◽  
Higher Dimensional

scholarly journals A SLOWLY ROTATING CHARGED BLACK HOLE IN FIVE DIMENSIONS

2006 ◽  
Vol 21 (09) ◽  
pp. 751-757 ◽  
Author(s):  
A. N. ALIEV
Keyword(s):  
General Relativity ◽  
Black Hole ◽  
System Of Equations ◽  
Maxwell System ◽  
Five Dimensions ◽  
Four Dimensions ◽  
Higher Dimensional ◽  
Long Time ◽  
Electrically Charged ◽  
Black Hole Solutions

Black hole solutions in higher dimensional Einstein and Einstein–Maxwell gravity have been discussed by Tangherlini as well as Myers and Perry a long time ago. These solutions are the generalizations of the familiar Schwarzschild, Reissner–Nordström and Kerr solutions of four-dimensional general relativity. However, higher dimensional generalization of the Kerr–Newman solution in four dimensions has not been found yet. As a first step in this direction we shall report on a new solution of the Einstein–Maxwell system of equations that describes an electrically charged and slowly rotating black hole in five dimensions.

On the Correspondence between Exact Solutions in Kaluza–Klein Theory and in Scalar–Tensor Theories

1997 ◽  
Vol 12 (28) ◽  
pp. 2121-2132 ◽  
Author(s):  
Andrew Billyard ◽  
Alan Coley
Keyword(s):  
General Relativity ◽  
Exact Solutions ◽  
The Other ◽  
Massless Scalar ◽  
Massless Scalar Field ◽  
Formal Equivalence ◽  
Higher Dimensional ◽  
Klein Theory ◽  
Dimensional Version ◽  
Kaluza Klein

Using the formal equivalences between Kaluza–Klein gravity, Brans–Dicke theory and general relativity coupled to a massless scalar field, exact solutions obtained in one theory will correspond to analogous solutions in the other two theories. Often exact solutions in one theory are "rediscovered" since theory are not recognized as analogs of the corresponding solutions in one of the other theories. We review here a number of exact solutions in each of the theories, with an emphasis on identifying and presenting the higher-dimensional version of the solutions. We also briefly comment upon the formal equivalence between Kaluza–Klein theory and scalar–tensor theories in general.

scholarly journals Møller Energy–Momentum Complex in General Relativity for Higher Dimensional Universes

2007 ◽  
Vol 24 (7) ◽  
pp. 1821-1824
Author(s):  
M Aygün ◽  
S Aygün ◽  
I Yilmaz ◽  
H Baysal ◽  
I Tarhan
Keyword(s):  
General Relativity ◽  
Higher Dimensional ◽  
Momentum Complex
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