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SUMMARY:Relativistic anisotropic stars with the polytropic equation of sta
 te in general relativity
DTSTART;VALUE=DATE-TIME:20161013T142500Z
DTEND;VALUE=DATE-TIME:20161013T144500Z
DTSTAMP;VALUE=DATE-TIME:20260722T161323Z
UID:indico-contribution-581@cern.ch
DESCRIPTION:Speakers: Alexander Isayev (Kharkov Institute of Physics and T
 echnology)\nSpherically symmetric relativistic stars with the polytropic e
 quation of state\, which possess the local pressure anisotropy\, are consi
 dered in the context of general relativity. The generalized Lane-Emden equ
 ations are derived for the arbitrary anisotropy parameter. They are then a
 pplied to some special ansatz for the anisotropy parameter in the form of 
 the differential relation between the anisotropy parameter and the metric 
 function *ν*. The analytical solutions of the obtained equations are foun
 d for incompressible fluid stars and then used for getting their mass-radi
 us relation\, gravitational and binding energy. Also\, the equation for st
 udying the dynamical stability of incompressible fluid stars with respect 
 to radial oscillations is obtained and analyzed.\n\nhttps://indico.particl
 e.mephi.ru/event/4/contributions/581/
LOCATION:Milan Hotel Vivaldi-Boccerini
URL:https://indico.particle.mephi.ru/event/4/contributions/581/
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