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SUMMARY:Anisotropic Self-gravitating Objects
DTSTART;VALUE=DATE-TIME:20170918T204000Z
DTEND;VALUE=DATE-TIME:20170918T211000Z
DTSTAMP;VALUE=DATE-TIME:20200601T065142Z
UID:indico-contribution-2696047@indico.cern.ch
DESCRIPTION:Speakers: Arman Stepanian (Yerevan Physics Institute)\nWe stud
y the anisotropic self-gravitating objects with polytropic equation of sta
te in both contexts of Newtonian gravity and General Relativity.\nFirst we
discuss Newtonian case\, where we start with hydrostatic equilibrium equa
tion. By arriving at Lane--Emden equation we study the effects of an aniso
tropic pressure on the boundary conditions of the anisotropic Lane–Emden
equation and the homology theorem.\nThen we go to the relativistic case a
nd by using the anisotropic Tolman–Oppenheimer–Volkov (TOV) equations\
, we explore the relativistic anisotropic Lane–Emden equations. After th
at we find how the anisotropic pressure affects the boundary conditions of
these equations.\nFor both cases some new physically well-defined solutio
ns are derived.\n\nhttps://indico.cern.ch/event/597202/contributions/26960
47/
LOCATION:Yerevan\, Armenia
URL:https://indico.cern.ch/event/597202/contributions/2696047/
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