A static cylindrically symmetric solution for perfect fluid in general relativity

1989 ◽  
Vol 30 (7) ◽  
pp. 1560-1561 ◽  
Author(s):  
W. Davidson
Keyword(s):  
General Relativity ◽  
Perfect Fluid ◽  
Symmetric Solution ◽  
Cylindrically Symmetric ◽  
Static Cylindrically Symmetric Solution

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.

Cylindrical waves in general relativity

1986 ◽  
Vol 408 (1835) ◽  
pp. 209-232 ◽  
Keyword(s):  
General Relativity ◽  
Gravitational Field ◽  
Energy Density ◽  
Perfect Fluid ◽  
Maxwell Equations ◽  
Cylindrical Symmetry ◽  
Hamiltonian Density ◽  
Cylindrical Waves ◽  
Cylindrically Symmetric ◽  
Set Up

A convenient framework is set up for constructing cylindrically symmetric solutions of the Einstein and the Einstein—Maxwell equations, and it is shown how a Hamiltonian density can be defined for space-times with cylindrical symmetry. Solutions are obtained that represent stationary monochromatic waves and satisfy all the requisite conditions of regularity. The case when the gravitational field is coupled with a perfect fluid in which the energy density is equal to the pressure is also briefly considered.

Sign in / Sign up

Export Citation Format

Share Document