Our Homogeneous and Isotropic Universe on Very Large Scales

Author(s):  
E. B. Manoukian
Keyword(s):  
2001 ◽  
Vol 46 (11) ◽  
pp. 770-772
Author(s):  
S. S. Gershtein ◽  
A. A. Logunov ◽  
M. A. Mestvirishvili
Keyword(s):  

2021 ◽  
pp. 2140005
Author(s):  
S. M. M. Rasouli ◽  
S. Jalalzadeh ◽  
P. V. Moniz

We start by presenting a brief summary of fractional quantum mechanics, as means to convey a motivation towards fractional quantum cosmology. Subsequently, such application is made concrete with the assistance of a case study. Specifically, we investigate and then discuss a model of stiff matter in a spatially flat homogeneous and isotropic universe. A new quantum cosmological solution, where fractional calculus implications are explicit, is presented and then contrasted with the corresponding standard quantum cosmology setting.


1981 ◽  
Vol 32 (11) ◽  
pp. 365-365
Author(s):  
J M Irvine
Keyword(s):  

2005 ◽  
Vol 14 (09) ◽  
pp. 1561-1576 ◽  
Author(s):  
ALBERTO DIEZ-TEJEDOR ◽  
ALEXANDER FEINSTEIN

We consider hydrodynamics with non-conserved number of particles and show that it can be modeled with effective fluid Lagrangians which explicitly depend on the velocity potentials. For such theories, the "shift symmetry" ϕ → ϕ + const leading to the conserved number of fluid particles in conventional hydrodynamics is globally broken and, as a result, the non-conservation of particle number appears as a source term in the continuity equation. The non-conservation of particle number is balanced by the entropy change, with both the entropy and the source term expressed in terms of the fluid velocity potential. Equations of hydrodynamics are derived using a modified version of Schutz's variational principle method. Examples of fluids described by such Lagrangians (tachyon condensate, K-essence) in spatially flat isotropic universe are briefly discussed.


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