scholarly journals Transforming the Einstein static universe into physically acceptable static fluid spheres. II. A twofold infinity of exact solutions

2008 ◽  
Vol 78 (4) ◽  
Author(s):  
Cédric Grenon ◽  
Pascal J. Elahi ◽  
Kayll Lake
Keyword(s):  
Exact Solutions ◽  
Static Universe ◽  
Static Fluid ◽  
Einstein Static Universe ◽  
Fluid Spheres

scholarly journals Stability of the Einstein static universe inf(R)gravity

2007 ◽  
Vol 76 (8) ◽  
Author(s):  
Christian G. Böhmer ◽  
Lukas Hollenstein ◽  
Francisco S. N. Lobo
Keyword(s):  
Static Universe ◽  
Einstein Static Universe

scholarly journals Brane-world generalizations of the Einstein static universe

2002 ◽  
Vol 19 (2) ◽  
pp. 213-221 ◽  
Author(s):  
László Á Gergely ◽  
Roy Maartens
Keyword(s):  
Brane World ◽  
Static Universe ◽  
Einstein Static Universe

scholarly journals On the restricted conformal group of the (1+n)-Einstein static universe

2019 ◽  
Vol 146 ◽  
pp. 103517 ◽  
Author(s):  
Olimjon Eshkobilov ◽  
Emilio Musso ◽  
Lorenzo Nicolodi
Keyword(s):  
Conformal Group ◽  
Static Universe ◽  
Einstein Static Universe

Static fluid spheres in Einstein-Cartan theory

1975 ◽  
Vol 11 (8) ◽  
pp. 2076-2082 ◽  
Author(s):  
A. R. Prasanna
Keyword(s):  
Static Fluid ◽  
Cartan Theory ◽  
Fluid Spheres

EXACT SOLUTIONS OF THE EINSTEIN–MAXWELL EQUATIONS IN CHARGED PERFECT FLUID SPHERES FOR THE GENERALIZED TOLMAN–OPPENHEIMER–VOLKOFF EQUATIONS

2013 ◽  
Vol 22 (02) ◽  
pp. 1350009 ◽  
Author(s):  
LI ZOU ◽  
FANG-YU LI ◽  
HAO WEN
Keyword(s):  
Cosmological Constant ◽  
Exact Solutions ◽  
Perfect Fluid ◽  
Maxwell Equations ◽  
Constant Density ◽  
New Exact Solutions ◽  
First Time ◽  
Classical Constant ◽  
Fluid Spheres ◽  
Charged Case

Exact solutions of the Einstein–Maxwell equations for spherically symmetric charged perfect fluid have been broadly studied so far. However, the cases with a nonzero cosmological constant are seldom focused. In the present paper, the Tolman–Oppenheimer–Volkoff (TOV) equations have been generalized from the neutral case of hydrostatic equilibrium to the charged case of hydroelectrostatic equilibrium, and base on it, for the first time we find a series of new exact solutions of Einstein–Maxwell's equations with a nonzero cosmological constant for static charged perfect fluid spheres. Moreover, two special TOV equations and two classical constant density interior solutions are also given.

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