scholarly journals A type of Levi–Civita solution in modified Gauss–Bonnet gravity

2014 ◽  
Vol 92 (2) ◽  
pp. 173-176 ◽  
Author(s):  
M.E. Rodrigues ◽  
M.J.S. Houndjo ◽  
D. Momeni ◽  
R. Myrzakulov
Keyword(s):  
Exact Solution ◽  
General Relativity ◽  
Perfect Fluid ◽  
Cosmic String ◽  
Coupling Parameter ◽  
Vacuum Solution ◽  
Einstein Gravity ◽  
Parameter Family ◽  
Bonnet Gravity ◽  
Cylindrically Symmetric

Herein we obtain an exact solution for cylindrically symmetric modified Gauss–Bonnet gravity. This metric is a generalization of the vacuum solution of Levi–Civita in general relativity. It describes an isotropic perfect fluid one-parameter family of the gravitational configurations, which can be interpreted as the exterior metric of a cosmic string. By setting the Gauss–Bonnet coupling parameter to zero, we recover the vacuum solution in the Einstein gravity as well.

scholarly journals EXACT SOLUTION FOR THE MASSLESS CYLINDRICALLY SYMMETRIC SCALAR FIELD IN GENERAL RELATIVITY, WITH COSMOLOGICAL CONSTANT

2009 ◽  
Vol 24 (31) ◽  
pp. 5991-6000 ◽  
Author(s):  
D. MOMENI ◽  
H. MIRAGHAEI
Keyword(s):  
Exact Solution ◽  
General Relativity ◽  
Scalar Field ◽  
Cosmological Constant ◽  
Cylindrical Symmetry ◽  
Cosmological Models ◽  
Cyclic Universe ◽  
Cylindrically Symmetric

In this paper, we present a new exact solution for scalar field with cosmological constant in cylindrical symmetry. Associated cosmological models, including a model that describes a cyclic universe, are discussed.

scholarly journals A NOTE ON CONSTANT CURVATURE SOLUTIONS IN CYLINDRICALLY SYMMETRIC METRIC f(R) GRAVITY

2009 ◽  
Vol 18 (11) ◽  
pp. 1719-1729 ◽  
Author(s):  
D. MOMENI ◽  
H. GHOLIZADE
Keyword(s):  
Exact Solution ◽  
Cosmological Constant ◽  
Exact Solutions ◽  
Constant Curvature ◽  
Initial Conditions ◽  
Vacuum Solution ◽  
Cylindrically Symmetric ◽  
Symmetric Vacuum ◽  
Theories Of Gravity ◽  
Two Parameter

In the previous work we introduced a new static cylindrically symmetric vacuum solution in Weyl coordinates in the context of the metric f(R) theories of gravity.1 Now we obtain a two-parameter family of exact solutions which contains a cosmological constant and a new parameter as β. This solution corresponds to a constant Ricci scalar. We proved that in f(R) gravity the constant curvature solution in cylindrically symmetric cases is only one member of the most generalized Tian family in GR. We show that our constant curvature exact solution is applicable to the exterior of a string. The sensibility of stability under initial conditions is discussed.

scholarly journals KINEMATIC SELF-SIMILAR CYLINDRICALLY SYMMETRIC SOLUTIONS

2005 ◽  
Vol 14 (09) ◽  
pp. 1527-1543 ◽  
Author(s):  
M. SHARIF ◽  
SEHAR AZIZ
Keyword(s):  
Perfect Fluid ◽  
Vacuum Solution ◽  
Cylindrically Symmetric ◽  
Self Similar ◽  
Parallel Case ◽  
Dust Case

This paper is devoted to find out cylindrically symmetric kinematic self-similar perfect fluid and dust solutions. We study the cylindrically symmetric solutions which admit kinematic self-similar vectors of second, zeroth and infinite kinds, not only for the tilted fluid case but also for the parallel and orthogonal cases. It is found that the parallel case gives contradiction both in the perfect fluid and dust cases. The orthogonal perfect fluid case yields a vacuum solution while the orthogonal dust case gives contradiction. It is worth mentioning that the tilted case provides solution both for the perfect as well as dust cases.

A new well behaved exact solution in general relativity for perfect fluid

2012 ◽  
Vol 340 (2) ◽  
pp. 407-412 ◽  
Author(s):  
Neeraj Pant ◽  
Pratibha Fuloria ◽  
B. C. Tewari
Keyword(s):  
Exact Solution ◽  
General Relativity ◽  
Perfect Fluid
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