Stability of perfect-fluid shock waves in special and general relativity

2007 ◽  
Vol 24 (17) ◽  
pp. 4439-4455 ◽  
Author(s):  
Heinrich Freistühler ◽  
Mohammedreza Raoofi
Keyword(s):  
General Relativity ◽  
Shock Waves ◽  
Perfect Fluid

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 Anisotropic cosmological dynamics in f(T) gravity in the presence of a perfect fluid

2019 ◽  
Vol 79 (10) ◽  
Author(s):  
Maria A. Skugoreva ◽  
Alexey V. Toporensky
Keyword(s):  
General Relativity ◽  
Equation Of State ◽  
Perfect Fluid ◽  
Matter Content ◽  
Cosmological Evolution ◽  
Anisotropic Universe ◽  
Anisotropic Solution ◽  
Cosmological Singularity ◽  
Hubble Parameters ◽  
The Universe

Abstract We consider the cosmological evolution of a flat anisotropic Universe in f(T) gravity in the presence of a perfect fluid. It is shown that the matter content of the Universe has a significant impact of the nature of a cosmological singularity in the model studied. Depending on the parameters of the f(T) function and the equation of state of the perfect fluid in question the well-known Kasner regime of general relativity can be replaced by a new anisotropic solution, or by an isotropic regime, or the cosmological singularity changes its nature to a non-standard one with a finite values of Hubble parameters. Six possible scenarios of the cosmological evolution for the model studied have been found numerically.

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