Perfect fluid solution of Einstein equations with two spacelike killing fields

1988 ◽  
Vol 20 (11) ◽  
pp. 1083-1086
Author(s):  
Taxiarchis Papacostas
Keyword(s):  
Perfect Fluid ◽  
Einstein Equations ◽  
Fluid Solution ◽  
Perfect Fluid Solution ◽  
Killing Fields

scholarly journals MODELING USUAL AND UNUSUAL ANISOTROPIC SPHERES

2009 ◽  
Vol 18 (02) ◽  
pp. 275-288 ◽  
Author(s):  
STEFANO VIAGGIU
Keyword(s):  
Perfect Fluid ◽  
Fluid Solution ◽  
Boson Stars ◽  
Perfect Fluid Solution ◽  
Parametric Solutions ◽  
Seed Solution ◽  
Anisotropic Factor ◽  
Anisotropic Spheres ◽  
Free Parameters ◽  
Physical Consequences

In this paper, we study anisotropic spheres built from known static spherical solutions. In particular, we are interested in the physical consequences of a "small" departure from a physically sensible configuration. The obtained solutions smoothly depend on free parameters. By setting these parameters to zero, the starting seed solution is regained. We apply our procedure in detail by taking as seed solutions the Florides metrics, and the Tolman IV solution. We show that the chosen Tolman IV solution, and also the Heint IIa and Durg IV,V perfect fluid solutions, can be used to generate a class of parametric solutions where the anisotropic factor has features recalling boson stars. This is an indication that boson stars could emerge by "perturbing" appropriately a perfect fluid solution (at least for the seed metrics considered). Finally, starting with the Tolman IV, Heint IIa and Durg IV,V solutions, we build anisotropic gravastar-like sources with the appropriate boundary conditions.

PETROV TYPE I, STATIONARY, AXISYMMETRIC, PERFECT FLUID SOLUTION OF EINSTEIN'S EQUATIONS

1999 ◽  
Vol 14 (01) ◽  
pp. 7-14
Author(s):  
E. KYRIAKOPOULOS
Keyword(s):  
Equation Of State ◽  
General Solution ◽  
Perfect Fluid ◽  
Petrov Type ◽  
Type I ◽  
Fluid Solution ◽  
Einstein’S Equations ◽  
Perfect Fluid Solution ◽  
Einstein's Equations ◽  
Static Limit

We present a four-parameter, algebraically general solution for the interior of a rigidly rotating, axisymmetric perfect fluid, with the equation of state μ = p + const . The solution is analytically simple and has a static limit.

scholarly journals Cosmological models through spatial Ricci-flow

2016 ◽  
Vol 13 (05) ◽  
pp. 1650069
Author(s):  
Ramesh Sharma
Keyword(s):  
Equation Of State ◽  
Perfect Fluid ◽  
Ricci Flow ◽  
Quadratic Equation ◽  
Space Time ◽  
Cosmological Models ◽  
Fluid Solution ◽  
Perfect Fluid Solution ◽  
Quadratic Equation Of State

We consider the synchronization of the Einstein’s flow with the Ricci-flow of the standard spatial slices of the Robertson–Walker space–time and show that associated perfect fluid solution has a quadratic equation of state and is either spherical and collapsing, or hyperbolic and expanding.

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