scholarly journals Exact relativistic models of perfect fluid disks in a magnetic field

2014 ◽  
Vol 46 (3) ◽  
Author(s):  
Gonzalo García-Reyes ◽  
Omar A. Espitia
2013 ◽  
Vol 22 (14) ◽  
pp. 1350088 ◽  
Author(s):  
THOMAS E. KIESS

We exhibit a classical lepton model based on a perfect fluid that reproduces leptonic charges and masses in arbitrarily small volumes without metric singularities or pressure discontinuities. This solution is the first of this kind to our knowledge, because to date the only classical general relativistic models that have reproduced leptonic charges and masses in arbitrarily small volumes are based on imperfect (anisotopic) fluids or perfect fluids with electric field discontinuities. We use a Maxwell–Einstein exact metric for a spherically symmetric static perfect fluid in a region in which the pressure vanishes at a boundary, beyond which the metric is of the Reissner–Nordström form. This construction models lepton mass and charge in the limit as the boundary → 0.


2016 ◽  
Vol 26 (07) ◽  
pp. 1750061 ◽  
Author(s):  
M. S. Borkar ◽  
P. V. Gayakwad

We studied the LRS Bianchi type I cosmological models with perfect fluid, quintessence and standard Chaplygin gas dark energy in the presence as well as in the absence of magnetic field [Formula: see text], in bimetric theory of gravitation. It is realized that the magnetic field controlled the whole behavior of the models. In the absence of magnetic field, these models exists and the model never exists in the presence of magnetic field. The geometry of quintessence model for [Formula: see text] and standard Chaplygin gas model coincide and their physical behavior are same in the absence of magnetic field. Some geometrical and physical properties of each of the model are explored. The model have also been studied in regard with the singularities and it is pointed out that the model is singular in the presence of magnetic field and nonsingular in the absence of magnetic field.


1992 ◽  
Vol 07 (29) ◽  
pp. 2731-2739
Author(s):  
J. GAMBOA

Using the Faddeev-Popov method an exact expression for the propagator of a relativistic spinning particle in a constant magnetic field is found. The conservation laws and the generators of the magnetic group are obtained in the path integral formalism. Both the relativistic and non-relativistic models are discussed in the planar case.


2004 ◽  
Vol 70 (6) ◽  
Author(s):  
D. Vogt ◽  
P. S. Letelier
Keyword(s):  

2013 ◽  
Vol 9 (18) ◽  
pp. 131-140
Author(s):  
Gonzalo García Reyes ◽  
Edwin García-Quintero

Using the well known “displace, cut and reflect” method used to generate disks from given solutions of Einstein field equations, we construct somerelativistic models of time dependent thin disks of infinite extension made of a perfect fluid based on the Robertson-Walker metric. Two simple families of models of disks based on Robertson-Walker solutions admitting Matter and Ricci collineations are presented. We obtain disks that are inagreement with all the energy conditions.


1985 ◽  
Vol 38 (2) ◽  
pp. 239 ◽  
Author(s):  
SR Roy ◽  
S Narain ◽  
JP Singh

We investigate Bianchi type I cosmological models containing a perfect fluid and with an incident magnetic field directed along the x axis. The solutions obtained represent an expansion scalar B bearing a constant ratio to the anisotropy in the direction of a space-like unit vector At.


2004 ◽  
Vol 70 (10) ◽  
Author(s):  
Gonzalo García-Reyes ◽  
Guillermo A. González
Keyword(s):  

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