General Solution of Static Sphere of Perfect Fluid and Dust of Uniform Density Using Isotropic Line Element

2012 ◽  
Vol 2 (4) ◽  
pp. 61-63
Author(s):  
C.D. Marathe ◽  
◽  
J.J. Rawal ◽  
Bijan Nikouravan
Keyword(s):  
General Solution ◽  
Perfect Fluid ◽  
Line Element ◽  
Uniform Density ◽  
Isotropic Line ◽  
Static Sphere

RADIATION EQUILIBRIUM IN GENERAL RELATIVITY: GENERAL SOLUTION

1989 ◽  
Vol 04 (05) ◽  
pp. 427-430 ◽  
Author(s):  
JOSEPH HAJJ-BOUTROS
Keyword(s):  
General Relativity ◽  
General Solution ◽  
Perfect Fluid ◽  
Static Sphere

We find the general solution for a static sphere filled with a perfect fluid in the radiative case (µ = 3p).

scholarly journals An Oscillating Perfect-Fluid Sphere with Uniform Density

1968 ◽  
Vol 40 (5) ◽  
pp. 1184-1186 ◽  
Author(s):  
Kenji Tomita ◽  
Hidekazu Nariai
Keyword(s):  
Perfect Fluid ◽  
Fluid Sphere ◽  
Uniform Density

The general axially symmetric static solution of Einstein’s vacuum field equations

1982 ◽  
Vol 382 (1783) ◽  
pp. 467-470 ◽  
Keyword(s):  
General Solution ◽  
Potential Function ◽  
Line Element ◽  
Static Solution ◽  
Vacuum Field ◽  
Axially Symmetric ◽  
Field Equations ◽  
Axis Of Symmetry ◽  
Axisymmetric Solutions ◽  
Associated Function

The general solution in closed form, including all the static axisymmetric solutions of Weyl, is presented in the canonical coordinates ρ and z of his line element. This general solution is constructed from an arbitrary function f ( z ), which coincides with his potential function along the axis of symmetry. To illustrate how the solution may be used, a particular function f , one resulting from a Newtonian solution, is used to find both the potential function and its associated function in the line element.

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.

Tilted Kantowski–Sachs cosmological model in Brans–Dicke theory of gravitation

2018 ◽  
Vol 33 (04) ◽  
pp. 1850011 ◽  
Author(s):  
D. D. Pawar ◽  
S. P. Shahare ◽  
V. J. Dagwal
Keyword(s):  
General Solution ◽  
Cosmological Model ◽  
Perfect Fluid ◽  
Power Law ◽  
Tensor Field ◽  
Geometrical Parameters ◽  
Field Equations ◽  
Theory Of Gravitation

Tilted Kantowski–Sachs cosmological model in Brans–Dicke theory for perfect fluid has been investigated. The general solution of field equations in Brans–Dicke theory for the combined scalar and tensor field are obtained by using power law relation. Also, some physical and geometrical parameters are obtained and discussed.

scholarly journals LRS Bianchi I model with perfect fluid equation-of-state

2019 ◽  
Vol 28 (03) ◽  
pp. 1950056 ◽  
Author(s):  
Vijay Singh ◽  
Aroonkumar Beesham
Keyword(s):  
Equation Of State ◽  
General Solution ◽  
Perfect Fluid ◽  
Vacuum Energy ◽  
Energy Model ◽  
Field Equations ◽  
Systematic Treatment ◽  
Fluid Equation ◽  
Stiff Matter ◽  
Bianchi I

The general solution of the field equations in LRS Bianchi-I spacetime with perfect fluid equation-of-state (EoS) is presented. The models filled with dust, vacuum energy, Zel’dovich matter and disordered radiation are studied in detail. A unified and systematic treatment of the solutions is presented, and some new solutions are found. The dust, stiff matter and disordered radiation models describe only a decelerated universe, whereas the vacuum energy model exhibits a transition from a decelerated to an accelerated phase.

scholarly journals Approximate perfect fluid solutions with quadrupole moment

2021 ◽  
Author(s):  
Medeu Abishev ◽  
Nurzada Beissen ◽  
Farida Belissarova ◽  
Kuantay Boshkayev ◽  
Aizhan Mansurova ◽  
...  
Keyword(s):  
Perfect Fluid ◽  
Quadrupole Moment ◽  
Line Element ◽  
Approximate Solutions ◽  
Axially Symmetric ◽  
Field Equations ◽  
Matching Conditions ◽  
Fluid Source ◽  
Gravitational Fields ◽  
Spherically Symmetry

We investigate the interior Einstein’s equations in the case of a static, axially symmetric, perfect fluid source. We present a particular line element that is specially suitable for the investigation of this type of interior gravitational fields. Assuming that the deviation from spherically symmetry is small, we linearize the corresponding line element and field equations and find several classes of vacuum and perfect fluid solutions. We find some particular approximate solutions by imposing appropriate matching conditions.

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